Edit Profile (opens in new tab) Guillera, Jesús Co-Author Distance Author ID: guillera.jesus Published as: Guillera, Jesús; Guillera, Jesus External Links: MGP Documents Indexed: 47 Publications since 2002, including 11 Additional arXiv Preprints Co-Authors: 8 Co-Authors with 10 Joint Publications 206 Co-Co-Authors all top 5 Co-Authors 37 single-authored 3 Almkvist, Gert 3 Zudilin, Wadim 2 Rogers, Mathew D. 1 Bogner, Michael 1 Cohen, Henri 1 Cooper, Shaun 1 Sondow, Jonathan D. 1 Straub, Armin all top 5 Serials 9 The Ramanujan Journal 5 Experimental Mathematics 2 American Mathematical Monthly 2 Proceedings of the American Mathematical Society 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Journal of the Australian Mathematical Society 2 International Journal of Number Theory 1 Advances in Applied Mathematics 1 New Zealand Journal of Mathematics 1 La Gaceta de la Real Sociedad Matemática Española all top 5 Fields 36 Number theory (11-XX) 35 Special functions (33-XX) 2 Combinatorics (05-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 390 times in 203 Documents Cited by ▼ Year ▼ Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075 Guillera, Jesús; Sondow, Jonathan 69 2008 Generators of some Ramanujan formulas. Zbl 1109.33029 Guillera, Jesús 45 2006 Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002 Guillera, Jesús 42 2008 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027 Guillera, Jesús; Zudilin, Wadim 29 2012 About a new kind of Ramanujan-type series. Zbl 1083.33004 Guillera, Jesús 29 2003 Some binomial series obtained by the WZ-method. Zbl 1013.33010 Guillera, Jesús 27 2002 WZ pairs and \(q\)-analogues of Ramanujan series for \(1/\pi\). Zbl 1405.11021 Guillera, Jesús 17 2018 A new Ramanujan-like series for \(1/\pi ^{2}\). Zbl 1238.33003 Guillera, Jesús 13 2011 A new method to obtain series for \(1/\pi\) and \(1/\pi^2\). Zbl 1113.11076 Guillera, Jesús 12 2006 WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151 Guillera, Jesús 9 2013 On WZ-pairs which prove Ramanujan series. Zbl 1196.33005 Guillera, Jesús 9 2010 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162 Guillera, Jesús; Zudilin, Wadim 8 2013 More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003 Guillera, Jesús 8 2013 Ramanujan-like series for \(1/\pi^2\) and string theory. Zbl 1259.81041 Almkvist, Gert; Guillera, Jesús 8 2012 A class of conjectured series representations for \(1/\pi\). Zbl 1163.11031 Guillera, Jesús 7 2006 A matrix form of Ramanujan-type series for \(1/\pi\). Zbl 1207.33012 Guillera, Jesús 7 2010 A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019 Guillera, Jesús 7 2020 Mosaic supercongruences of Ramanujan type. Zbl 1247.11153 Guillera, Jesús 5 2012 Ramanujan series upside-down. Zbl 1305.33014 Guillera, Jesus; Rogers, Mathew 5 2014 Dougall’s \(_5F_4\) sum and the WZ algorithm. Zbl 1393.33009 Guillera, Jesús 5 2018 Mahler measure and the WZ algorithm. Zbl 1321.33008 Guillera, Jesús; Rogers, Mathew 4 2015 New proofs of Borwein-type algorithms for Pi. Zbl 1402.11153 Guillera, Jesús 3 2016 More Ramanujan-Orr formulas for \(1/\pi\). Zbl 1386.33015 Guillera, Jesus 3 2017 Proof of a rational Ramanujan-type series for \(1/\pi\). The fastest one in level 3. Zbl 1461.33009 Guillera, Jesús 3 2021 Proofs of some Ramanujan series for \(1/\pi\) using a program due to Zeilberger. Zbl 1402.33007 Guillera, Jesús 3 2018 Easy proofs of some Borwein algorithms for \(\pi\). Zbl 1178.26003 Guillera, Jesús 2 2008 A family of Ramanujan-Orr formulas for \(1/\pi\). Zbl 1432.33014 Guillera, Jesús 2 2015 Ramanujan series with a shift. Zbl 1428.33015 Guillera, Jesús 2 2019 Bilateral Ramanujan-like series for \(1/\pi^k\) and their congruences. Zbl 1469.11030 Guillera, Jesús 2 2020 Ramanujan-Sato-like series. Zbl 1290.33004 Almkvist, Gert; Guillera, Jesús 2 2013 Crouching AGM, hidden modularity. Zbl 1437.11058 Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 History of the formulas and algorithms for \(\pi\). Zbl 1227.11003 Guillera, Jesús 1 2010 Proof of Chudnovskys’ hypergeometric series for \(1/\pi\) using Weber modular polynomials. Zbl 1502.33010 Guillera, Jesús 1 2021 Proof of a rational Ramanujan-type series for \(1/\pi\). The fastest one in level 3. Zbl 1461.33009 Guillera, Jesús 3 2021 Proof of Chudnovskys’ hypergeometric series for \(1/\pi\) using Weber modular polynomials. Zbl 1502.33010 Guillera, Jesús 1 2021 A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019 Guillera, Jesús 7 2020 Bilateral Ramanujan-like series for \(1/\pi^k\) and their congruences. Zbl 1469.11030 Guillera, Jesús 2 2020 Ramanujan series with a shift. Zbl 1428.33015 Guillera, Jesús 2 2019 WZ pairs and \(q\)-analogues of Ramanujan series for \(1/\pi\). Zbl 1405.11021 Guillera, Jesús 17 2018 Dougall’s \(_5F_4\) sum and the WZ algorithm. Zbl 1393.33009 Guillera, Jesús 5 2018 Proofs of some Ramanujan series for \(1/\pi\) using a program due to Zeilberger. Zbl 1402.33007 Guillera, Jesús 3 2018 Crouching AGM, hidden modularity. Zbl 1437.11058 Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 More Ramanujan-Orr formulas for \(1/\pi\). Zbl 1386.33015 Guillera, Jesus 3 2017 New proofs of Borwein-type algorithms for Pi. Zbl 1402.11153 Guillera, Jesús 3 2016 Mahler measure and the WZ algorithm. Zbl 1321.33008 Guillera, Jesús; Rogers, Mathew 4 2015 A family of Ramanujan-Orr formulas for \(1/\pi\). Zbl 1432.33014 Guillera, Jesús 2 2015 Ramanujan series upside-down. Zbl 1305.33014 Guillera, Jesus; Rogers, Mathew 5 2014 WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151 Guillera, Jesús 9 2013 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162 Guillera, Jesús; Zudilin, Wadim 8 2013 More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003 Guillera, Jesús 8 2013 Ramanujan-Sato-like series. Zbl 1290.33004 Almkvist, Gert; Guillera, Jesús 2 2013 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027 Guillera, Jesús; Zudilin, Wadim 29 2012 Ramanujan-like series for \(1/\pi^2\) and string theory. Zbl 1259.81041 Almkvist, Gert; Guillera, Jesús 8 2012 Mosaic supercongruences of Ramanujan type. Zbl 1247.11153 Guillera, Jesús 5 2012 A new Ramanujan-like series for \(1/\pi ^{2}\). Zbl 1238.33003 Guillera, Jesús 13 2011 On WZ-pairs which prove Ramanujan series. Zbl 1196.33005 Guillera, Jesús 9 2010 A matrix form of Ramanujan-type series for \(1/\pi\). Zbl 1207.33012 Guillera, Jesús 7 2010 History of the formulas and algorithms for \(\pi\). Zbl 1227.11003 Guillera, Jesús 1 2010 Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075 Guillera, Jesús; Sondow, Jonathan 69 2008 Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002 Guillera, Jesús 42 2008 Easy proofs of some Borwein algorithms for \(\pi\). Zbl 1178.26003 Guillera, Jesús 2 2008 Generators of some Ramanujan formulas. Zbl 1109.33029 Guillera, Jesús 45 2006 A new method to obtain series for \(1/\pi\) and \(1/\pi^2\). Zbl 1113.11076 Guillera, Jesús 12 2006 A class of conjectured series representations for \(1/\pi\). Zbl 1163.11031 Guillera, Jesús 7 2006 About a new kind of Ramanujan-type series. Zbl 1083.33004 Guillera, Jesús 29 2003 Some binomial series obtained by the WZ-method. Zbl 1013.33010 Guillera, Jesús 27 2002 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 24 Guo, Victor J. W. 22 Guillera, Jesús 14 Zudilin, Wadim 11 Campbell, John Maxwell 8 Chu, Wenchang 7 Simsek, Yilmaz 6 Chen, Chaoping 6 Wei, Chuanan 5 Sofo, Anthony 4 Adell, José Antonio 4 Levrie, Paul 3 Baruah, Nayandeep Deka 3 Berndt, Bruce Carl 3 Chen, Xiaojing 3 Cooper, Shaun 3 El Bachraoui, Mohamed 3 Gong, Dianxuan 3 Lekuona, Alberto 3 Mao, Guo-Shuai 3 Rogers, Mathew D. 3 Schlosser, Michael J. 3 Wan, James Gu Feng 3 Wang, Xiaoxia 2 Almkvist, Gert 2 Alzer, Horst 2 Batir, Necdet 2 Brent, Richard Peirce 2 Chan, Heng Huat 2 Chen, Dirong 2 Ferreira, Erasmo M. 2 Han, Xuefeng 2 He, Bing 2 Hu, Dianwang 2 Kohara, Anderson K. 2 Lagarias, Jeffrey C. 2 Lalín, Matilde Noemí 2 Li, Long 2 Liu, Zhi-Guo 2 Lu, Dawei 2 Mortici, Cristinel 2 Navas, Luis M. 2 Nimbran, Amrik Singh 2 Osburn, Robert 2 Ruiz, Francisco J. 2 Sampedro, Juan Carlos 2 Sesma, Javier 2 Sondow, Jonathan D. 2 Srivastava, Hari Mohan 2 Straub, Armin 2 Sun, Zhi-Wei 2 van Gorder, Robert Ashton 2 Varona Malumbres, Juan Luis 2 Wang, Su-Dan 2 Xu, Aimin 2 Yang, Yifan 2 Ye, Dongxi 2 You, Xu 2 Young, Paul Thomas 2 Zhang, Wenlong 1 Acikgoz, Mehmet 1 Allouche, Jean-Paul Simon 1 Awad, Mohammed M. 1 Bayad, Abdelmejid 1 Boyadzhiev, Khristo N. 1 Brychkov, Yury A. 1 Cantarini, Marco 1 Cao, Jian 1 Charalambakis, Nicolas Ch. 1 Chatzigeorgiou, George 1 Chen, Chao-Ping 1 Chen, Hongwei 1 Chen, Imin 1 Chen, Kwang-Wu 1 Chen, Shaoshi 1 Chen, Yao-Han 1 Chen, Yungui 1 Cherman, Aleksey 1 Chisholm, Sarah 1 Chu, Wenchang 1 Colley, Susan Jane 1 Dai, Linlin 1 D’Aurizio, Jacopo 1 Deines-Schartz, Alyson 1 Dembélé, Lassina 1 Erdenberger, Cord 1 Esposito, Flavia Lucia 1 Fatawat, Kalpana 1 Glasser, M. Lawrence 1 Glebov, Gleb 1 Goenka, Ritesh 1 Guo, Xuejun 1 Hadjicostas, Petros 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hou, Qinghu 1 Huang, Shouyou 1 Jha, Sumit Kumar 1 Jiménez-Gamero, María Dolores 1 Jodrá, Pedro 1 Jordan, Pedro M. ...and 66 more Authors all top 5 Cited in 75 Serials 32 The Ramanujan Journal 13 Journal of Number Theory 12 Journal of Mathematical Analysis and Applications 12 Journal of Difference Equations and Applications 9 Integral Transforms and Special Functions 9 International Journal of Number Theory 5 Mathematics of Computation 5 Proceedings of the American Mathematical Society 5 Results in Mathematics 5 Journal of Inequalities and Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Approximation Theory 4 Experimental Mathematics 3 Acta Arithmetica 3 Journal of the Australian Mathematical Society 3 AIMS Mathematics 2 American Mathematical Monthly 2 Analysis Mathematica 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 Russian Journal of Mathematical Physics 2 Mediterranean Journal of Mathematics 2 Electronic Research Archive 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Elemente der Mathematik 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux 1 Filomat 1 Abstract and Applied Analysis 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Fractional Calculus & Applied Analysis 1 Journal of Integer Sequences 1 Communications of the Korean Mathematical Society 1 Journal of High Energy Physics 1 La Gaceta de la Real Sociedad Matemática Española 1 Integers 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Missouri Journal of Mathematical Sciences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contributions to Discrete Mathematics 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 Advances in Mathematical Physics 1 Symmetry 1 Journal of Classical Analysis 1 Annales Mathématiques du Québec 1 Evolution Equations and Control Theory 1 Mathematics 1 Research in the Mathematical Sciences 1 Open Mathematics 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 29 Fields 154 Number theory (11-XX) 136 Special functions (33-XX) 44 Combinatorics (05-XX) 25 Sequences, series, summability (40-XX) 20 Numerical analysis (65-XX) 12 Approximations and expansions (41-XX) 11 Real functions (26-XX) 8 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 \(K\)-theory (19-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year