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Randall, Joshua C. ; Winkler, Thomas W. ; Kutalik, Zoltán ; I. Berndt, Sonja ; Jackson, Anne U. ; Monda, Keri L. ; Kilpeläinen, Tuomas O. ; Esko, Tõnu ; Mägi, Reedik ; Li, Shengxu ; Workalemahu, Tsegaselassie ; Feitosa, Mary F. ; Croteau-Chonka, Damien C. ; Day, Felix R. ; Fall, Tove ; Ferreira, Teresa ; Gustafsson, Stefan ; Locke, Adam E. ; Mathieson, Iain ; Scherag, André ; Vedantam, Sailaja ; Wood, Andrew R. ; Liang, Liming ; Steinthorsdottir, Valgerdur ; Thorleifsson, Gudmar ; Dermitzakis, Emmanouil T. ; Dimas, Antigone S. ; Karpe, Fredrik ; Min, Josine L. ; Nicholson, George ; Clegg, Deborah J. ; Person, Thomas ; Krohn, Jon P. ; Bauer, Sabrina ; Buechler, Christa ; Eisinger, Kristina ; Bonnefond, Amélie ; Froguel, Philippe ; Hottenga, Jouke-Jan ; Prokopenko, Inga ; Waite, Lindsay L. ; Harris, Tamara B. ; Smith, Albert Vernon ; Shuldiner, Alan R. ; McArdle, Wendy L. ; Caulfield, Mark J. ; Munroe, Patricia B. ; Grönberg, Henrik ; Chen, Yii-Der Ida ; Li, Guo ; Beckmann, Jacques S. ; Johnson, Toby ; Thorsteinsdottir, Unnur ; Teder-Laving, Maris ; Khaw, Kay-Tee ; Wareham, Nicholas J. ; Zhao, Jing Hua ; Amin, Najaf ; Oostra, Ben A. ; Kraja, Aldi T. ; Province, Michael A. ; Cupples, L. Adrienne ; Heard-Costa, Nancy L. ; Kaprio, Jaakko ; Ripatti, Samuli ; Surakka, Ida ; Collins, Francis S. ; Saramies, Jouko ; Tuomilehto, Jaakko ; Jula, Antti ; Salomaa, Veikko ; Erdmann, Jeanette ; Hengstenberg, Christian ; Loley, Christina ; Schunkert, Heribert ; Lamina, Claudia ; Wichmann, Heinz Erich ; Albrecht, Eva ; Gieger, Christian ; Hicks, Andrew A. ; Johansson, Åsa ; Pramstaller, Peter P. ; Kathiresan, Sekar ; Speliotes, Elizabeth K. ; Penninx, Brenda W. J. H. ; Hartikainen, Anna-Liisa ; Jarvelin, Marjo-Riitta ; Gyllensten, Ulf ; Boomsma, Dorret I. ; Campbell, Harry ; Wilson, James F. ; Chanock, Stephen J. ; Farrall, Martin ; Goel, Anuj ; Medina-Gomez, Carolina ; Rivadeneira, Fernando ; Estrada, Karol ; Uitterlinden, André G. ; Hofman, Albert ; Zillikens, M. Carola ; Heijer, Martin den ; Kiemeney, Lambertus Adrianus ; Maschio, Andrea ; Hall, Per ; Tyrer, Jonathan ; Teumer, Alexander ; Völzke, Henry ; Kovacs, Peter ; Tönjes, Anke ; Mangino, Massimo ; Spector, Tim D. ; Hayward, Caroline ; Rudan, Igor ; Hall, Alistair S. ; Samani, Nilesh J. ; Attwood, Antony Paul ; Sambrook, Jennifer G. ; Hung, Joseph ; Palmer, Lyle J. ; Lokki, Marja-Liisa ; Sinisalo, Juha ; Boucher, Gabrielle ; Huikuri, Heikki ; Lorentzon, Mattias ; Ohlsson, Claes ; Eklund, Niina ; Eriksson, Johan G. ; Barlassina, Cristina ; Rivolta, Carlo ; Nolte, Ilja M. ; Snieder, Harold ; Klauw, Melanie M. van der ; Vliet-Ostaptchouk, Jana V. van ; Gejman, Pablo V. ; Shi, Jianxin ; Jacobs, Kevin B. ; Wang, Zhaoming ; Bakker, Stephan J. L. ; Mateo Leach, Irene ; Navis, Gerjan ; Harst, Pim van der ; Martin, Nicholas Gordon ; Medland, Sarah E. ; Montgomery, Grant W. ; Yang, Jian ; Chasman, Daniel I. ; Ridker, Paul M. ; Rose, Lynda M. ; Lehtimäki, Terho ; Raitakari, Olli ; Absher, Devin ; Iribarren, Carlos ; Basart, Hanneke ; Hovingh, Kees G. ; Hyppönen, Elina ; Power, Chris ; Power, Chris ; Anderson, Denise ; Beilby, John P. ; Hui, Jennie ; Jolley, Jennifer ; Sager, Hendrik ; Bornstein, Stefan R. ; Schwarz, Peter E. H. ; Kristiansson, Kati ; Perola, Markus ; Lindström, Jaana ; Swift, Amy J. ; Uusitupa, Matti ; Atalay, Mustafa ; Lakka, Timo A. ; Rauramaa, Rainer ; Bolton, Jennifer L. ; Fowkes, Gerry ; Fraser, Ross M. ; Price, Jackie F. ; Fischer, Krista ; KrjutÅ¡kov, Kaarel ; Metspalu, Andres ; Mihailov, Evelin ; Langenberg, Claudia ; Luan, Jian'an ; Ong, Ken K. ; Chines, Peter S. ; Keinanen-Kiukaanniemi, Sirkka M. ; Saaristo, Timo E. ; Edkins, Sarah ; Franks, Paul W. ; Hallmans, Göran ; Shungin, Dmitry ; Morris, Andrew David ; Palmer, Colin N. A. ; Erbel, Raimund ; Moebus, Susanne ; Nöthen, Markus Maria ; Pechlivanis, Sonali ; Hveem, Kristian ; Narisu, Narisu ; Hamsten, Anders ; Humphries, Steve E. ; Strawbridge, Rona J. ; Tremoli, Elena ; Grallert, Harald ; Thorand, Barbara ; Illig, Thomas ; Koenig, Wolfgang ; Müller-Nurasyid, Martina ; Peters, Annette ; Böhm, Bernhard O. ; Kleber, Marcus E. ; März, Winfried ; Winkelmann, Bernhard R. ; Kuusisto, Johanna ; Laakso, Markku ; Arveiler, Dominique ; Cesana, Giancarlo ; Kuulasmaa, Kari ; Virtamo, Jarmo ; Yarnell, John W. G. ; Kuh, Diana ; Wong, Andrew ; Lind, Lars ; Faire, Ulf de ; Gigante, Bruna ; Magnusson, Patrik K. E. ; Pedersen, Nancy L. ; Dedoussis, George ; Dimitriou, Maria ; Kolovou, Genovefa ; Kanoni, Stavroula ; Stirrups, Kathleen ; Bonnycastle, Lori L. ; Njølstad, Inger ; Wilsgaard, Tom ; Ganna, Andrea ; Rehnberg, Emil ; Hingorani, Aroon ; Kivimaki, Mika ; Kumari, Meena ; Assimes, Themistocles L. ; Barroso, Inês ; Boehnke, Michael ; Borecki, Ingrid B. ; Deloukas, Panos ; Fox, Caroline S. ; Frayling, Timothy ; Groop, Leif C. ; Haritunians, Talin ; Hunter, David ; Ingelsson, Erik ; Kaplan, Robert ; Mohlke, Karen L. ; North, Kari E. ; Lindgren, Cecilia M. ; Qi, Lu ; Loos, Ruth J. F. ; Heid, Iris M. ; Hirschhorn, Joel N. ; McCarthy, Mark I. ; Abecasis, Gonçalo R. ; Stefansson, Kari ; Strachan, David P. ; Schlessinger, David ; O'Connell, Jeffrey R. ; Duijn, Cornelia M. van
Men and women differ substantially regarding height, weight, and body fat. Interestingly, previous work detecting genetic effects for waist-to-hip ratio, to assess body fat distribution, has found that many of these showed sex-differences. However, systematic searches for sex-differences in genetic effects have not yet been conducted. Therefore, we undertook a genome-wide search for sexually dimorphic genetic effects for anthropometric traits including 133,723 individuals in a large meta-analysis and followed promising variants in further 137,052 individuals, including a total of 94 studies. We identified seven loci with significant sex-difference including four previously established (near GRB14/COBLL1, LYPLAL1/SLC30A10, VEGFA, ADAMTS9) and three novel anthropometric trait loci (near MAP3K1, HSD17B4, PPARG), all of which were significant in women, but not in men. Of interest is that sex-difference was only observed for waist phenotypes, but not for height or body-mass-index. We found no evidence for sex-differences with opposite effect direction for men and women. The PPARG locus is of specific interest due to its link to diabetes genetics and therapy. Our findings demonstrate the importance of investigating sex differences, which may lead to a better understanding of disease mechanisms with a potential relevance to treatment options.
Bauer, Michael ; Glenn, Tasha ; Achtyes, Eric D. ; Agaoglu, Esen ; Altınbaş, Kürşat ; Andreassen, Ole A. ; Angelopoulos, Elias ; Ardau, Raffaella ; Arrua Vares, Edgar ; Aydin, Memduha ; Ayhan, Yavuz ; Baethge, Christopher Jan ; Bauer, Rita ; Baune, Bernhard T. ; Balaban, Ceylan ; Becerra-Palars, Claudia ; Behere, Aniruddh P. ; Behere, Prakash B. ; Belete, Habte ; Belete, Tilahun ; Belizario, Gabriel Okawa ; Bellivier, Frank ; Belmaker, Robert H. ; Benedetti, Francesco ; Berk, Michael ; Bersudsky, Yuly ; Bicakci, Şule ; Birabwa-Oketcho, Harriet ; Bjella, Thomas D. ; Brady, Conan ; Cabrera, Jorge ; Cappucciati, Marco ; Castro, Angela Marianne Paredes ; Chen, Wei-Ling ; Cheung, Eric Y. Wo ; Chiesa, Silvia ; Crowe, Marie ; Cuomo, Alessandro ; Dallaspezia, Sara ; Del Zompo, Maria ; Desai, Pratikkumar ; Dodd, Seetal ; Donix, Markus ; Etain, Bruno ; Fagiolini, Andrea ; Fellendorf, Frederike Tabea ; Ferensztajn-Rochowiak, Ewa ; Fiedorowicz, Jess G. ; Fountoulakis, Kostas N. ; Frye, Mark A. ; Geoffroy, Pierre A. ; Gonzalez-Pinto, Ana ; Gottlieb, John F. ; Grof, Paul ; Haarman, Bartholomeus C. M. ; Harima, Hirohiko ; Hasse-Sousa, Mathias ; Henry, Chantal ; Høffding, Lone ; Houenou, Josselin ; Imbesi, Massimiliano ; Isometsä, Erkki T. ; Ivkovic, Maja ; Janno, Sven ; Johnsen, Simon ; Kapczinski, Flávio ; Karakatsoulis, Gregory N. ; Kardell, Mathias ; Kessing, Lars Vedel ; Kim, Seong Jae ; König, Barbara ; Kot, Timur L. ; Koval, Michael ; Kunz, Mauricio ; Lafer, Beny ; Landén, Mikael ; Larsen, Erik R. ; Lenger, Melanie ; Lewitzka, Ute ; Licht, Rasmus W. ; Lopez-Jaramillo, Carlos ; MacKenzie, Alan ; Madsen, Helle Østergaard ; Madsen, Simone Alberte Kongstad A. ; Mahadevan, Jayant ; Mahardika, Agustine ; Manchia, Mirko ; Marsh, Wendy ; Martinez-Cengotitabengoa, Monica ; Martiny, Klaus ; Mashima, Yuki ; McLoughlin, Declan M. ; Meesters, Ybe ; Melle, Ingrid ; Meza-Urzúa, Fátima ; Ming, Mok Yee ; Monteith, Scott ; Moorthy, Muthukumaran ; Morken, Gunnar ; Mosca, Enrica ; Mozzhegorov, Anton A. ; Munoz, Rodrigo ; Mythri, Starlin V. ; Nacef, Fethi ; Nadella, Ravi K. ; Nakanotani, Takako ; Nielsen, René Ernst ; O'Donovan, Claire ; Omrani, Adel ; Osher, Yamima ; Ouali, Uta ; Pantovic-Stefanovic, Maja ; Pariwatcharakul, Pornjira ; Petite, Joanne ; Pfennig, Andrea ; Pica Ruiz, Yolanda ; Pilhatsch, Maximilian ; Pinna, Marco ; Pompili, Maurizio ; Porter, Richard ; Quiroz, Danilo ; Rabelo-da-Ponte, Francisco Diego ; Ramesar, Raj ; Rasgon, Natalie ; Ratta-apha, Woraphat ; Ratzenhofer, Michaela ; Redahan, Maria ; Reddy, M. S. ; Reif, Andreas ; Reininghaus, Eva Z. ; Richards, Jenny Gringer ; Ritter, Philipp ; Rybakowski, Janusz K. ; Sathyaputri, Leela ; Scippa, Ângela M. ; Simhandl, Christian ; Severus, Emanuel ; Smith, Daniel ; Smith, José ; Stackhouse Jr., Paul W. ; Stein, Dan J. ; Stilwell, Kellen ; Strejilevich, Sergio ; Su, Kuan-Pin ; Subramaniam, Mythily ; Sulaiman, Ahmad Hatim ; Suominen, Kirsi ; Tanra, Andi J. ; Tatebayashi, Yoshitaka ; Teh, Wen Lin ; Tondo, Leonardo ; Torrent, Carla ; Tuinstra, Daniel ; Uchida, Takahito ; Vaaler, Arne E. ; Veeh, Julia ; Vieta, Eduard ; Viswanath, Biju ; Yoldi-Negrete, Maria ; Yalcinkaya, Oguz Kaan ; Young, Allan H. ; Zgueb, Yosra ; Whybrow, Peter C.
Background: Bipolar disorder is associated with circadian disruption and a high risk of suicidal behavior. In a previous exploratory study of patients with bipolar I disorder, we found that a history of suicide attempts was associated with differences between winter and summer levels of solar insolation. The purpose of this study was to confirm this finding using international data from 42% more collection sites and 25% more countries. Methods: Data analyzed were from 71 prior and new collection sites in 40 countries at a wide range of latitudes. The analysis included 4876 patients with bipolar I disorder, 45% more data than previously analyzed. Of the patients, 1496 (30.7%) had a history of suicide attempt. Solar insolation data, the amount of the sun’s electromagnetic energy striking the surface of the earth, was obtained for each onset location (479 locations in 64 countries). Results: This analysis confirmed the results of the exploratory study with the same best model and slightly better statistical significance. There was a significant inverse association between a history of suicide attempts and the ratio of mean winter insolation to mean summer insolation (mean winter insolation/mean summer insolation). This ratio is largest near the equator which has little change in solar insolation over the year, and smallest near the poles where the winter insolation is very small compared to the summer insolation. Other variables in the model associated with an increased risk of suicide attempts were a history of alcohol or substance abuse, female gender, and younger birth cohort. The winter/summer insolation ratio was also replaced with the ratio of minimum mean monthly insolation to the maximum mean monthly insolation to accommodate insolation patterns in the tropics, and nearly identical results were found. All estimated coefficients were significant at p < 0.01. Conclusion: A large change in solar insolation, both between winter and summer and between the minimum and maximum monthly values, may increase the risk of suicide attempts in bipolar I disorder. With frequent circadian rhythm dysfunction and suicidal behavior in bipolar disorder, greater understanding of the optimal roles of daylight and electric lighting in circadian entrainment is needed.
Hou, Liping ; Bergen, Sarah E. ; Akula, Nirmala ; Song, Jie ; Hultman, Christina M. ; Landén, Mikael ; Adli, Mazda ; Alda, Martin ; Ardau, Raffaella ; Arias, Bárbara ; Aubry, Jean-Michel ; Backlund, Lena ; Badner, Judith A. ; Barrett, Thomas B. ; Bauer, Michael ; Baune, Bernhard T. ; Bellivier, Frank ; Benabarre Hernandez, Antonio ; Bengesser, Susanne ; Berrettini, Wade H. ; Bhattacharjee, Abesh Kumar ; Biernacka, Joanna ; Birner, Armin ; Bloss, Cinnamon S. ; Brichant-Petitjean, Clara ; Bui, Elise T. ; Byerley, William ; Cervantes, Pablo ; Chillotti, Caterina ; Cichon, Sven ; Colom, Francesc ; Coryell, William ; Craig, David W. ; Cruceanu, Cristiana ; Czerski, Piotr M. ; Davis, Tony ; Dayer, Alexandre ; Degenhardt, Franziska ; Del Zompo, Maria ; DePaulo, J. Raymond ; Edenberg, Howard J. ; Étain, Bruno ; Falkai, Peter ; Foroud, Tatiana ; Forstner, Andreas Josef ; Frisén, Louise ; Frye, Mark A. ; Fullerton, Janice M. ; Gard, Sébastien ; Garnham, Julie S. ; Gershon, Elliot S. ; Goes, Fernando S. ; Greenwood, Tiffany A. ; Grigoroiu-Serbanescu, Maria ; Hauser, Joanna ; Heilbronner, Urs ; Heilmann-Heimbach, Stefanie ; Herms, Stefan ; Hipolito, Maria ; Hitturlingappa, Shashi ; Hoffmann, Per ; Hofmann, Andrea ; Jamain, Stephane ; Jiménez, Esther ; Kahn, Jean-Pierre ; Kassem, Layla ; Kelsoe, John R. ; Kittel-Schneider, Sarah ; Kliwicki, Sebastian ; Koller, Daniel L. ; König, Barbara ; Lackner, Nina ; Laje, Gonzalo ; Lang, Maren ; Lavebratt, Catharina ; Lawson, William B. ; Leboyer, Marion ; Leckband, Susan G. ; Liu, Chunyu ; Maaser, Anna ; Mahon, Pamela B. ; Maier, Wolfgang ; Maj, Mario ; Manchia, Mirko ; Martinsson, Lina ; McCarthy, Michael J. ; McElroy, Susan L. ; McInnis, Melvin G. ; McKinney, Rebecca ; Mitchell, Philip B. ; Mitjans, Marina ; Mondimore, Francis Mark ; Monteleone, Palmiero ; Mühleisen, Thomas W. ; Nievergelt, Caroline M. ; Nöthen, Markus Maria ; Novák, Tomas ; Nurnberger, John I. ; Nwulia, Evaristus A. ; Ösby, Urban ; Pfennig, Andrea ; Potash, James B. ; Propping, Peter ; Reif, Andreas ; Reininghaus, Eva ; Rice, John ; Rietschel, Marcella ; Rouleau, Guy A. ; Rybakowski, Janusz K. ; Schalling, Martin ; Scheftner, William A. ; Schofield, Peter R. ; Schork, Nicholas J. ; Schulze, Thomas Gerd ; Schumacher, Johannes ; Schweizer, Barbara W. ; Severino, Giovanni ; Shekhtman, Tatyana ; Shilling, Paul D. ; Simhandl, Christian ; Slaney, Claire M. ; Smith, Erin N. ; Squassina, Alessio ; Stamm, Thomas ; Stopkova, Pavla ; Streit, Fabian ; Strohmaier, Jana ; Szelinger, Szabolcs ; Tighe, Sarah K. ; Tortorella, Alfonso ; Turecki, Gustavo ; Vieta, Eduard ; Volkert, Julia ; Witt, Stephanie H. ; Wright, Adam ; Zandi, Peter P. ; Zhang, Peng ; Zollner, Sebastian ; McMahon, Francis J.
Bipolar disorder (BD) is a genetically complex mental illness characterized by severe oscillations of mood and behavior. Genome-wide association studies (GWAS) have identified several risk loci that together account for a small portion of the heritability. To identify additional risk loci, we performed a two-stage meta-analysis of >9 million genetic variants in 9,784 bipolar disorder patients and 30,471 controls, the largest GWAS of BD to date. In this study, to increase power we used ~2,000 lithium-treated cases with a long-term diagnosis of BD from the Consortium on Lithium Genetics, excess controls, and analytic methods optimized for markers on the Xchromosome. In addition to four known loci, results revealed genome-wide significant associations at two novel loci: an intergenic region on 9p21.3 (rs12553324, p = 5.87×10-9; odds ratio = 1.12) and markers within ERBB2 (rs2517959, p = 4.53×10-9; odds ratio = 1.13). No significant X-chromosome associations were detected and X-linked markers explained very little BD heritability. The results add to a growing list of common autosomal variants involved in BD and illustrate the power of comparing well-characterized cases to an excess of controls in GWAS.
Théry, Clotilde ; Witwer, Kenneth W. ; Aikawa, Elena ; Alcaraz, Maria Jose ; Anderson, Johnathon D. ; Andriantsitohaina, Ramaroson ; Antoniou, Anna ; Arab, Tanina ; Archer, Fabienne ; Atkin-Smith, Georgia K. ; Ayre, D. Craig ; Bach, Jean-Marie ; Bachurski, Daniel ; Baharvand, Hossein ; Balaj, Leonora ; Baldacchino, Shawn ; Bauer, Natalie N. ; Baxter, Amy A. ; Bebawy, Mary ; Beckham, Carla ; Zavec, Apolonija Bedina ; Benmoussa, Abderrahim ; Berardi, Anna C. ; Bergese, Paolo ; Bielska, Ewa ; Blenkiron, Cherie ; Bobis-Wozowicz, Sylwia ; Boilard, Eric ; Boireau, Wilfrid ; Bongiovanni, Antonella ; Borràs, Francesc E. ; Bosch, Steffi ; Boulanger, Chantal M. ; Breakefield, Xandra ; Breglio, Andrew M. ; Brennan, Meadhbh Aín ; Brigstock, David R. ; Brisson, Alain ; Broekman, Marike L. D. ; Bromberg, Jacqueline F. ; Bryl-Gorecka, Paulina ; Buch, Shilpa ; Buck, Amy H. ; Burger, Dylan ; Busatto, Sara ; Buschmann, Dominik ; Bussolati, Benedetta ; Buzás, Edit I. ; Byrd, James Bryan ; Camussi, Giovanni ; Carter, David R. F. ; Caruso, Sarah ; Chamley, Lawrence W. ; Chang, Yu-Ting ; Chen, Chihchen ; Chen, Shuai ; Cheng, Lesley ; Chin, Andrew R. ; Clayton, Aled ; Clerici, Stefano P. ; Cocks, Alex ; Cocucci, Emanuele ; Coffey, Robert J. ; Cordeiro-da-Silva, Anabela ; Couch, Yvonne ; Coumans, Frank A. W. ; Coyle, Beth ; Crescitelli, Rossella ; Criado, Miria Ferreira ; D’Souza-Schorey, Crislyn ; Das, Saumya ; Chaudhuri, Amrita Datta ; de-Candia, Paola ; De Santana, Eliezer F. ; De Wever, Olivier ; del Portillo, Hernando A. ; Demaret, Tanguy ; Deville, Sarah ; Devitt, Andrew ; Dhondt, Bert ; Di Vizio, Dolores ; Dieterich, Lothar C. ; Dolo, Vincenza ; Dominguez Rubio, Ana Paula ; Dominici, Massimo ; Dourado, Mauricio R. ; Driedonks, Tom A. P. ; Duarte, Filipe V. ; Duncan, Heather M. ; Eichenberger, Ramon Marc ; Ekström, Karin ; El Andaloussi, Samir ; Elie-Caille, Celine ; Erdbrügger, Uta ; Falcón-Pérez, Juan M. ; Fatima, Farah ; Fish, Jason E. ; Flores-Bellver, Miguel ; Försönits, András ; Frelet-Barrand, Annie ; Fricke, Fabia ; Fuhrmann, Gregor ; Gabrielsson, Susanne ; Gámez-Valero, Ana ; Gardiner, Chris ; Gärtner, Kathrin ; Gaudin, Raphael ; Gho, Yong Song ; Giebel, Bernd ; Gilbert, Caroline ; Gimona, Mario ; Giusti, Ilaria ; Goberdhan, Deborah C. I. ; Görgens, André ; Gorski, Sharon M. ; Greening, David W. ; Groß, Julia Christina ; Gualerzi, Alice ; Gupta, Gopal N. ; Gustafson, Dakota ; Handberg, Aase ; Haraszti, Réka Ágnes ; Harrison, Paul ; Hegyesi, Hargita ; Hendrix, An ; Hill, Andrew F. ; Hochberg, Fred H. ; Hoffmann, Karl F. ; Holder, Beth ; Holthofer, Harry ; Hosseinkhani, Baharak ; Hu, Guoku ; Huang, Yiyao ; Huber, Veronica ; Hunt, Stuart ; Ibrahim, Ahmed Gamal-Eldin ; Ikezu, Tsuneya ; Inal, Jameel M. ; Isin, Mustafa ; Ivanova, Alena ; Jackson, Hannah K. ; Jacobsen, Soren ; Jay, Steven M. ; Jayachandran, Muthuvel ; Jenster, Guido ; Jiang, Lanzhou ; Johnson, Suzanne M. ; Jones, Jennifer C. ; Jong, Ambrose ; Jovanovic-Talisman, Tijana ; Jung, Stephanie ; Kalluri, Raghu ; Kano, Shin-ichi ; Kaur, Sukhbir ; Kawamura, Yumi ; Keller, Evan T. ; Khamari, Delaram ; Khomyakova, Elena ; Khvorova, Anastasia ; Kierulf, Peter ; Kim, Kwang Pyo ; Kislinger, Thomas ; Klingeborn, Mikael ; Klinke, David J. ; Kornek, Miroslaw ; Kosanović, Maja M. ; Kovács, Árpád Ferenc ; Krämer-Albers, Eva-Maria ; Krasemann, Susanne ; Krause, Mirja ; Kurochkin, Igor V. ; Kusuma, Gina D. ; Kuypers, Sören ; Laitinen, Saara ; Langevin, Scott M. ; Languino, Lucia R. ; Lannigan, Joanne ; Lässer, Cecilia ; Laurent, Louise C. ; Lavieu, Gregory ; Lázaro-Ibáñez, Elisa ; Le Lay, Soazig ; Lee, Myung-Shin ; Lee, Yi Xin Fiona ; Lemos, Debora S. ; Lenassi, Metka ; Leszczynska, Aleksandra ; Li, Isaac T. S. ; Liao, Ke ; Libregts, Sten F. ; Ligeti, Erzsebet ; Lim, Rebecca ; Lim, Sai Kiang ; Linē, Aija ; Linnemannstöns, Karen ; Llorente, Alicia ; Lombard, Catherine Ann ; Lorenowicz, Magdalena J. ; Lörincz, Ákos M. ; Lötvall, Jan ; Lovett, Jason ; Lowry, Michelle C. ; Loyer, Xavier ; Lu, Quan ; Lukomska, Barbara ; Lunavat, Taral Rameshchand ; Maas, Sybren L. N. ; Malhi, Harmeet ; Marcilla, Antonio ; Mariani, Jacopo ; Mariscal, Javier ; Martens-Uzunova, Elena S. ; Martin-Jaular, Lorena ; Martinez, M. Carmen ; Martins, Vilma Regina ; Mathieu, Mathilde ; Mathivanan, Suresh ; Maugeri, Marco ; McGinnis, Lynda K. ; McVey, Mark J. ; Meckes, David G. ; Meehan, Katie ; Mertens, Inge ; Minciacchi, Valentina R. ; Möller, Andreas ; Møller Jørgensen, Malene ; Morales-Kastresana, Aizea ; Morhayim, Jess ; Mullier, François ; Muraca, Maurizio ; Musante, Luca ; Mussack, Veronika ; Muth, Dillon C. ; Myburgh, Kathryn H. ; Najrana, Tanbir ; Nawaz, Muhammad ; Nazarenko, Irina ; Nejsum, Peter ; Neri, Christian ; Neri, Tommaso ; Nieuwland, Rienk ; Nimrichter, Leonardo ; Nolan, John P. ; Nolte-’t Hoen, Esther N. M. ; Hooten, Nicole Noren ; O’Driscoll, Lorraine ; O’Grady, Tina ; O’Loghlen, Ana ; Ochiya, Takahiro ; Olivier, Martin ; Ortiz, Alberto ; Ortiz, Luis A. ; Osteikoetxea, Xabier ; Østergaard, Ole ; Ostrowski, Matias ; Park, Jaesung ; Pegtel, Dirk Michiel ; Peinado, Hector ; Perut, Francesca ; Pfaffl, Michael ; Phinney, Donald G. ; Pieters, Bartijn C. H. ; Pink, Ryan Charles ; Pisetsky, David S. ; Pogge von Strandmann, Elke ; Polakovicova, Iva ; Poon, Ivan K. H. ; Powell, Bonita H. ; Prada, Ilaria ; Pulliam, Lynn ; Quesenberry, Peter ; Radeghieri, Annalisa ; Raffai, Robert L. ; Raimondo, Stefania ; Rak, Janusz ; Ramirez, Marcel I. ; Raposo, Graça ; Rayyan, Morsi S. ; Regev-Rudzki, Neta ; Ricklefs, Franz Lennard ; Robbins, Paul D. ; Roberts, David D. ; Rodrigues, Silvia C. ; Rohde, Eva ; Rome, Sophie ; Rouschop, Kasper M. ; Rughetti, Aurelia ; Russell, Ashley E. ; Saá, Paula ; Sahoo, Susmita ; Salas-Huenuleo, Edison ; Sánchez, Catherine ; Saugstad, Julie A. ; Saul, Meike J. ; Schiffelers, Raymond M. ; Schneider, Raphael ; Schøyen, Tine Hiorth ; Scott, Aaron ; Shahaj, Eriomina ; Sharma, Shivani ; Shatnyeva, Olga ; Shekari, Faezeh ; Shelke, Ganesh Vilas ; Shetty, Ashok K. ; Shiba, Kiyotaka ; Siljander, Pia R.-M. ; Silva, Andreia M. ; Skowronek, Agata ; Snyder, Orman L. ; Soares, Rodrigo Pedro ; Sódar, Barbara W. ; Soekmadji, Carolina ; Sotillo, Javier ; Stahl, Philip D. ; Stoorvogel, Willem ; Stott, Shannon L. ; Strasser, Erwin F. ; Swift, Simon ; Tahara, Hidetoshi ; Tewari, Muneesh ; Timms, Kate ; Tiwari, Swasti ; Tixeira, Rochelle ; Tkach, Mercedes ; Toh, Wei Seong ; Tomasini, Richard ; Torrecilhas, Ana Claudia ; Tosar, Juan Pablo ; Toxavidis, Vasilis ; Urbanelli, Lorena ; Vader, Pieter ; Balkom, Bastiaan Wilhelmus Maria van ; Grein, Susanne G. van der ; Van Deun, Jan ; Herwijnen, Martijn J. C. van ; Van Keuren-Jensen, Kendall R. ; Niel, Guillaume van ; Royen, Martin E. van ; Wijnen, Andre J. van ; Vasconcelos, M. Helena ; Vechetti, Ivan J. ; Veit, Tiago D. ; Vella, Laura J. ; Velot, Émilie ; Verweij, Frederik ; Vestad, Beate ; Viñas, Jose Luis ; Visnovitz, Tamás ; Vukman, Krisztina V. ; Wahlgren, Jessica ; Watson, Dionysios C. ; Wauben, Marca H. M. ; Weaver, Alissa ; Webber, Jason P. ; Weber, Viktoria ; Wehman, Ann M. ; Weiss, Daniel J. ; Welsh, Joshua A. ; Wendt, Sebastian ; Wheelock, Åsa M. ; Wiener, Zoltán ; Witte, Leonie ; Wolfram, Joy ; Xagorari, Angeliki ; Xander, Patricia ; Xu, Jing ; Yan, Xiaomei ; Yáñez-Mó, María ; Yin, Hang ; Yuana, Yuana ; Zappulli, Valentina ; Zarubova, Jana ; Žėkas, Vytautas ; Zhang, Jian-ye ; Zhao, Zezhou ; Zheng, Lei ; Zheutlin, Alexander R. ; Zickler, Antje Maria ; Zimmermann, Pascale ; Zivkovic, Angela M. ; Zocco, Davide ; Zuba-Surma, Ewa K.
The last decade has seen a sharp increase in the number of scientific publications describing physiological and pathological functions of extracellular vesicles (EVs), a collective term covering various subtypes of cell-released, membranous structures, called exosomes, microvesicles, microparticles, ectosomes, oncosomes, apoptotic bodies, and many other names. However, specific issues arise when working with these entities, whose size and amount often make them difficult to obtain as relatively pure preparations, and to characterize properly. The International Society for Extracellular Vesicles (ISEV) proposed Minimal Information for Studies of Extracellular Vesicles (“MISEV”) guidelines for the field in 2014. We now update these “MISEV2014” guidelines based on evolution of the collective knowledge in the last four years. An important point to consider is that ascribing a specific function to EVs in general, or to subtypes of EVs, requires reporting of specific information beyond mere description of function in a crude, potentially contaminated, and heterogeneous preparation. For example, claims that exosomes are endowed with exquisite and specific activities remain difficult to support experimentally, given our still limited knowledge of their specific molecular machineries of biogenesis and release, as compared with other biophysically similar EVs. The MISEV2018 guidelines include tables and outlines of suggested protocols and steps to follow to document specific EV-associated functional activities. Finally, a checklist is provided with summaries of key points.
HLA-DRB1 and HLA-DQB1 genetic diversity modulates response to lithium in bipolar affective disorders
(2021)
Le Clerc, Sigrid ; Lombardi, Laura ; Amare, Azmeraw T. ; Schubert, Klaus Oliver ; Hou, Liping ; Clark, Scott R. ; Papiol, Sergi ; Cearns, Micah ; Heilbronner, Urs ; Degenhardt, Franziska ; Tekola-Ayele, Fasil ; Hsu, Yi-Hsiang ; Shekhtman, Tatyana ; Adli, Mazda ; Akula, Nirmala ; Akiyama, Kazufumi ; Ardau, Raffaella ; Arias, Bárbara ; Aubry, Jean-Michel ; Backlund, Lena ; Bhattacharjee, Abesh Kumar ; Bellivier, Frank ; Benabarre, Antonio ; Bengesser, Susanne ; Biernacka, Joanna ; Birner, Armin ; Brichant-Petitjean, Clara ; Cervantes, Pablo ; Chen, Hsi-Chung ; Chillotti, Caterina ; Cichon, Sven ; Cruceanu, Cristiana ; Czerski, Piotr M. ; Dalkner, Nina ; Dayer, Alexandre ; Baune, Bernhard T. ; Del Zompo, Maria ; DePaulo, J. Raymond ; Étain, Bruno ; Jamain, Stephane ; Falkai, Peter ; Forstner, Andreas Josef ; Frisen, Louise ; Frye, Mark A. ; Fullerton, Janice M. ; Gard, Sébastien ; Garnham, Julie S. ; Goes, Fernando S. ; Grigoroiu-Serbanescu, Maria ; Grof, Paul ; Hashimoto, Ryota ; Hauser, Joanna ; Herms, Stefan ; Hoffmann, Per ; Jiménez, Esther ; Kahn, Jean-Pierre ; Kassem, Layla ; Kuo, Po-Hsiu ; Kato, Tadafumi ; Kelsoe, John R. ; Kittel-Schneider, Sarah ; Ferensztajn-Rochowiak, Ewa ; König, Barbara ; Kusumi, Ichiro ; Laje, Gonzalo ; Landén, Mikael ; Lavebratt, Catharina ; Leckband, Susan G. ; Tortorella, Alfonso ; Manchia, Mirko ; Martinsson, Lina ; McCarthy, Michael J. ; McElroy, Susan ; Colom, Francesc ; Millischer, Vincent ; Mitjans, Marina ; Mondimore, Francis Mark ; Monteleone, Palmiero ; Nievergelt, Caroline M. ; Nöthen, Markus Maria ; Novák, Tomas ; O'Donovan, Claire ; Ozaki, Norio ; Ösby, Urban ; Pfennig, Andrea ; Potash, James B. ; Reif, Andreas ; Reininghaus, Eva ; Rouleau, Guy A. ; Rybakowski, Janusz K. ; Schalling, Martin ; Schofield, Peter R. ; Schweizer, Barbara W. ; Severino, Giovanni ; Shilling, Paul D. ; Shimoda, Katzutaka ; Simhandl, Christian ; Slaney, Claire M. ; Pisanu, Claudia ; Squassina, Alessio ; Stamm, Thomas ; Stopkova, Pavla ; Maj, Mario ; Turecki, Gustavo ; Vieta, Eduard ; Veeh, Julia ; Witt, Stephanie H. ; Wright, Adam ; Zandi, Peter P. ; Mitchell, Philip B. ; Bauer, Michael ; Alda, Martin ; Rietschel, Marcella ; McMahon, Francis J. ; Schulze, Thomas Gerd ; Spadoni, Jean-Louis ; Boukouaci, Wahid ; Richard, Jean-Romain ; Le Corvoisier, Philippe ; Barrau, Caroline ; Zagury, Jean-François ; Leboyer, Marion ; Tamouza, Ryad
Bipolar affective disorder (BD) is a severe psychiatric illness, for which lithium (Li) is the gold standard for acute and maintenance therapies. The therapeutic response to Li in BD is heterogeneous and reliable biomarkers allowing patients stratification are still needed. A GWAS performed by the International Consortium on Lithium Genetics (ConLiGen) has recently identified genetic markers associated with treatment responses to Li in the human leukocyte antigens (HLA) region. To better understand the molecular mechanisms underlying this association, we have genetically imputed the classical alleles of the HLA region in the European patients of the ConLiGen cohort. We found our best signal for amino-acid variants belonging to the HLA-DRB1*11:01 classical allele, associated with a better response to Li (p < 1 × 10−3; FDR < 0.09 in the recessive model). Alanine or Leucine at position 74 of the HLA-DRB1 heavy chain was associated with a good response while Arginine or Glutamic acid with a poor response. As these variants have been implicated in common inflammatory/autoimmune processes, our findings strongly suggest that HLA-mediated low inflammatory background may contribute to the efficient response to Li in BD patients, while an inflammatory status overriding Li anti-inflammatory properties would favor a weak response.
Mapping cortical brain asymmetry in 17,141 healthy individuals worldwide via the ENIGMA Consortium
(2017)
Kong, Xiang-Zhen ; Mathias, Samuel R. ; Guadalupe, Tulio ; Abé, Christoph ; Agartz, Ingrid ; Akudjedu, Theophilus N. ; Andre, Aleman ; Saud, Alhusaini ; Allen, Nicholas B. ; Ames, David ; Andreassen, Ole A. ; Arias Vásquez, Alejandro ; Armstrong, Nicola J. ; Bergo, Felipe ; Bastin, Mark E. ; Batalla, Albert ; Bauer, Jochen ; Baune, Bernhard T. ; Baur, Ramona ; Biederman, Joseph ; Blaine, Sara K. ; Boedhoe, Premika ; Bøen, Erlend ; Bose, Anushree ; Bralten, Janita ; Brandeis, Daniel ; Brem, Silvia ; Brodaty, Henry ; Bröhl, Henrieke ; Brooks, Samantha J. ; Buitelaar, Jan K. ; Bürger, Christian ; Bülow, Robin ; Calhoun, Vince D. ; Calvo, Anna ; Canales-Rodrı́guez, Erick Jorge ; Canive, Jose M. ; Cannon, Dara M. ; Caparelli, Elisabeth C. ; Castellanos, Francisco X. ; Cavalleri, Gianpiero L. ; Cendes, Fernando ; Chaim-Avancini, Tiffany Moukbel ; Chantiluke, Kaylita ; Chen, Qun-lin ; Chen, Xiayu ; Cheng, Yuqi ; Christakou, Anastasia ; Clark, Vincent P. ; Coghill, David ; Connolly, Colm G. ; Conzelmann, Annette ; Cόrdova-Palomera, Aldo ; Cousijn, Janna ; Crow, Tim ; Cubillo, Ana ; Dannlowski, Udo ; de Bruttopilo, Sara Ambrosino ; Zeeuw, Patrick de ; Deary, Ian J. ; Delanty, Norman ; Demeter, Damion V. ; Di Martino, Adriana ; Dickie, Erin W ; Dietsche, Bruno ; Doan, N. Trung ; Doherty, Colin P. ; Doyle, Alysa ; Durston, Sarah ; Earl, Eric ; Ehrlich, Stefan ; Ekman, Carl Johan ; Elvsåshagen, Torbjørn ; Epstein, Jeffery N. ; Fair, Damien A. ; Faraone, Stephen V. ; Fatouros-Bergman, Helena ; Fernndez, Guillen ; Busatto Filho, Geraldo ; Flyckt, Lena ; Forster, Katharina ; Jean-Paul, Fouche ; Foxe, John J. ; Fuentes-Claramonte, Paola ; Fullerton, Janice M. ; Garavan, Hugh ; Garcia, Danielle do Santos ; Gotlib, Ian H. ; Goudriaan, Anna E. ; Grabe, Hans Jörgen ; Groenewold, Nynke A. ; Grotegerd, Dominik ; Gruber, Oliver ; Gurholt, Tiril ; Haavik, Jan ; Hahn, Tim ; Hansell, Narelle K. ; Harris, Mathew A. ; Hartman, Catharina ; Hernandez, Maria del Carmen Valdes ; Heslenfeld, Dirk ; Hester, Robert ; Hibar, Derrek Paul ; Ho, Beng-Choon ; Ho, Tiffany C. ; Hoekstra, Pieter J. ; van Holst, Ruth J. ; Hoogman, Martine ; Hovik, Marie F. ; Howells, Fleur M. ; Hugdahl, Kenneth ; Huyser, Chaim ; Ingvar, Martind ; Irwin, Lourdes ; Ishikawa, Akari ; James, Anthony ; Jahanshad, Neda ; Jernigan, Terry L. ; Jönsson, Erik G. ; Kahler, Claas ; Kaleda, Vasily ; Kelly, Clare ; Kerich, Michael ; Keshavan, Matcheri S ; Khadka, Sabin ; Kircher, Tilo ; Kohls, Gregor ; Konrad, Kerstin ; Korucuoglu, Ozlem ; Krämer, Bernd ; Krug, Axel ; Kwon, Jun Soo ; Lambregts-Rommelse, Nanda ; Landén, Mikael ; Lázaro, Luisa ; Lebedeva, Irina ; Lenroot, Rhoshel ; Lesch, Klaus-Peter J. ; Li, Qinqin ; Lim, Kelvin O. ; Liu, Jia ; Lochner, Christine ; London, Edythe D. ; Lonning, Vera ; Lorenzetti, Valentina ; Luciano, Michelle ; Luijten, Maartje ; Lundervold, Astri J. ; Mackey, Scott ; MacMaster, Frank P. ; Maingault, Sophie ; Malpas, Charles B. ; Malt, Ulrik F. ; Mataix-Cols, David ; Martin-Santos, Rocio ; Mayer, Andrew R. ; McCarthy, Hazel ; Mitchell, Philip B. ; Mueller, Bryon A. ; Maniega, Susana Munoz ; Mazoyer, Bernard ; McDonald, Colm ; McLellan, Quinn ; McMahon, Katie L. ; McPhilemy, Genevieve ; Momenan, Reza ; Morales, Angelica M. ; Narayanaswamy, Janardhanan C. ; Moreira, José Carlos Vasques ; Nerland, Stener ; Nestor, Liam ; Nigg, Joel T. ; Nordvik, Jan-Egil ; Novotny, Stephanie ; Oberwelland, Eileen ; O’Gorman, Ruth L. ; Oosterlaan, Jaap ; Oranje, Bob ; Orr, Catherine ; Overs, Bronwyn ; Pauli, Paul ; Paulus, Martin ; Plessen, Kerstin ; Polier, Georg von ; Pomarol-Clotet, Edith ; Qiu, Jiang ; Radua, Joaquim ; Ramos-Quiroga, J. Antoni ; Reddy, Y.C. Janardhan ; Reif, Andreas ; Roberts, Gloria ; Rosa, Pedro ; Rubia, Katya ; Sacchet, Matthew D. ; Sachdev, Perminder S. ; Salvador, Raymond ; Schmaal, Lianne ; Schweren, Lisanne ; Seidman, Larry J. ; Seitz, Jochen ; Serpa, Mauricio Henriques ; Shaw, Philip ; Shumskaya, Elena ; Silk, Timothy J. ; Simmons, Alan N. ; Simulionyte, Egle ; Sinha, Rajita ; Sjoerds, Zsuzsika ; Smelror, Runar Elle ; Soliva, Joan Carlos ; Solowij, Nadia ; Sponheim, Scott R. ; Stein, Dan J. ; Stein, Elliot A. ; Stevens, Michael ; Strike, Lachlan T. ; Sudre, Gustavo ; Sui, Jing ; Tamm, Leanne ; Temmingh, Hendrik S. ; Thoma, Robert J. ; Tomyshev, Alexander S. ; Tronchin, Giulia ; Turner, Jessica A. ; Uhlmann, Anne ; van Erp, Theo G.M. ; van den Heuvel, Odile ; Meer, Dennis van der ; Eijk, Liza van ; Vance, Alasdair ; Veer, Ilya M. ; Veltman, Dick J. ; Venkatasubramanian, Ganesan ; Vilarroya, Oscar ; Vives-Gilabert, Yolanda ; Voineskos, Aristotle N. ; Völzke, Henry ; Vuletic, Daniella ; Walitza, Susanne ; Walter, Henrik ; Walton, Esther ; Wardlaw, Joanna M. ; Wen, Wei ; Westlye, Lars T. ; Whelan, Christopher D. ; White, Tonya ; Wiers, Reinout W. ; Wright, Margaret J. ; Wittfeld, Katharina ; Yang, Tony T. ; Yasuda, Clarissa L. ; Yoncheva, Yuliya ; Yucel, Murat ; Yun, Je-Yeon ; Zanetti, Marcus Vinicius ; Zhen, Zonglei ; Zhu, Xing-xing ; Ziegler, Georg Christoph ; Zierhut, Kathrin ; De Zubicaray, Greig ; Zwiers, Marcel P. ; Glahn, David C. ; Franke, Barbara ; Crivello, Fabrice ; Tzourio-Mazoyer, Nathalie ; Fisher, Simon E. ; Thompson, Paul M. ; Francks, Clyde ; Farde, Lars ; Engberg, Goran ; Erhardt, Sophie ; Cervenka, Simon ; Schwieler, Lilly ; Piehl, Fredrik ; Collste, Karin ; Victorsson, Pauliina ; Malmqvist, Anna ; Hedberg, Mikael ; Orhan, Funda
In der vorliegenden Arbeit untersuchen wir die Verteilung der Nullstellen Dirichletscher L-Reihen auf oder in der Nähe der kritischen Geraden. Diese Funktionen und ihre Nullstellen stehen im Mittelpunkt des Interesses bei einer Vielzahl klassischer zahlentheoretischer Fragestellungen; beispielsweise besagt die Verallgemeinerte Riemannsche Vermutung, daß sämtliche Nullstellen dieser Funktionen auf der kritischen Geraden liegen. Unsere Ergebnisse gehen unter anderem über die besten bislang bekannten Abschätzungen - für den Anteil der Nullstellen der Dirichletschen L-Reihen, die auf der kritischen Geraden liegen, - für den Anteil einfacher beziehungsweise m-facher Nullstellen sowie - über Nullstellen in der Nähe der kritischen Geraden hinaus. Wir setzen hiermit Arbeiten von A. Selberg, N. Levinson, J. B. Conrey und anderen fort und verallgemeinern Ergebnisse, die für die Riemannsche #-Funktion gültig sind, auf alle Dirichletschen LReihen beziehungsweise verbessern bisherige Resultate. Nach einer ausführlicheren Darstellung der Hintergründe zeigen wir einen Satz über Mittelwerte "geglätteter" L-Reihen, d.h. mit einem geeigneten Dirichlet-Polynom multiplizierte L-Reihen. Solche Mittelwertsätze stellen ein wesentliches Hilfsmittel zur Untersuchung der Nullstellenverteilung dar. Die in unserem Hauptsatz gegebene asymptotische Darstellung dieses Mittelwertes können wir dann nutzen, um die genannten Ergebnisse herzuleiten.
Im Mittelpunkt der vorliegenden Arbeit stehen die Nullstellen der nach Bernhard Riemann benannten Riemannschen Zetafunktion ..(s). Diese Funktion kann für komplexes s mit Res > 1 durch ...(s) = 1 X n=1 1 ns (1.1.1) dargestellt werden. Für andere Werte von s ist ...(s) durch die analytische Fortsetzung der Dirichlet-Reihe in (1.1.1) gegeben. Die ...-Funktion ist in der ganzen komplexen Ebene holomorph, mit Ausnahme des Punktes s = 1, wo sie einen einfachen Pol besitzt. Diese und weitere Eigenschaften von ...(s) setzen wir in dieser Arbeit als bekannt voraus, näheres findet man beispielsweise in [Tit51] oder [Ivi85]. Bereits Euler betrachtete, beispielsweise in [Eul48, Caput XV], die Summe in (1.1.1), allerdings vor allem für ganzzahlige s ... 2. Von ihm stammt die Gleichung 1 X n=1 1 ns =.... die für alle komplexen s mit Res > 1 gültig ist. Dieser Zusammenhang zwischen der ...-Funktion und den Primzahlen war Ausgangspunkt für Riemanns einzige zahlentheoretische, aber dennoch wegweisende Arbeit \ Über die Anzahl der Primzahlen unter einer gegebenen Grösse." ([Rie59]). In dieser 1859 erschienenen Arbeit erkannte Riemann als erster die Bedeutung der Nullstellen der ...-Funktion für die Verteilung der Primzahlen. Bezüglich dieser Nullstellen sei jetzt nur so viel gesagt, daß ...(s) einfache Nullstellen an den negativen geraden Zahlen .... besitzt, und, daß alle weiteren, die sogenannten nicht-trivialen Nullstellen, im kritischen Streifen 0 < Res < 1 liegen. Diese letzteren | unendlich vielen | Nullstellen sind gerade für den Primzahlsatz, also für die Beziehung ...(x) ... li(x);
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