## Guillera, Jesús

Compute Distance To:
 Author ID: guillera.jesus Published as: Guillera, Jesús; Guillera, Jesus External Links: MGP
 Documents Indexed: 34 Publications since 2002 Co-Authors: 6 Co-Authors with 8 Joint Publications 160 Co-Co-Authors
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### Co-Authors

 26 single-authored 3 Zudilin, Wadim 2 Almkvist, Gert 2 Rogers, Mathew D. 1 Cooper, Shaun 1 Sondow, Jonathan D. 1 Straub, Armin
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### 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
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### Fields

 32 Number theory (11-XX) 31 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 Mathematics education (97-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 314 times in 171 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
2008
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
2006
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
2008
Some binomial series obtained by the WZ-method. Zbl 1013.33010
Guillera, Jesús
2002
About a new kind of Ramanujan-type series. Zbl 1083.33004
Guillera, Jesús
2003
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
WZ pairs and $$q$$-analogues of Ramanujan series for $$1/\pi$$. Zbl 1405.11021
Guillera, Jesús
2018
A new method to obtain series for $$1/\pi$$ and $$1/\pi^2$$. Zbl 1113.11076
Guillera, Jesús
2006
A new Ramanujan-like series for $$1/\pi ^{2}$$. Zbl 1238.33003
Guillera, Jesús
2011
More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003
Guillera, Jesús
2013
A class of conjectured series representations for $$1/\pi$$. Zbl 1163.11031
Guillera, Jesús
2006
On WZ-pairs which prove Ramanujan series. Zbl 1196.33005
Guillera, Jesús
2010
WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151
Guillera, Jesús
2013
A matrix form of Ramanujan-type series for $$1/\pi$$. Zbl 1207.33012
Guillera, Jesús
2010
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
A method for proving Ramanujan’s series for $$1/\pi$$. Zbl 1440.33019
Guillera, Jesús
2020
Dougall’s $$_5F_4$$ sum and the WZ algorithm. Zbl 1393.33009
Guillera, Jesús
2018
Mahler measure and the WZ algorithm. Zbl 1321.33008
Guillera, Jesús; Rogers, Mathew
2015
Ramanujan-like series for $$1/\pi^2$$ and string theory. Zbl 1259.81041
Almkvist, Gert; Guillera, Jesús
2012
Ramanujan series upside-down. Zbl 1305.33014
Guillera, Jesus; Rogers, Mathew
2014
Mosaic supercongruences of Ramanujan type. Zbl 1247.11153
Guillera, Jesús
2012
Proofs of some Ramanujan series for $$1/\pi$$ using a program due to Zeilberger. Zbl 1402.33007
Guillera, Jesús
2018
New proofs of Borwein-type algorithms for Pi. Zbl 1402.11153
Guillera, Jesús
2016
Easy proofs of some Borwein algorithms for $$\pi$$. Zbl 1178.26003
Guillera, Jesús
2008
A family of Ramanujan-Orr formulas for $$1/\pi$$. Zbl 1432.33014
Guillera, Jesús
2015
More Ramanujan-Orr formulas for $$1/\pi$$. Zbl 1386.33015
Guillera, Jesus
2017
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
Ramanujan series with a shift. Zbl 1428.33015
Guillera, Jesús
2019
Bilateral Ramanujan-like series for $$1/\pi^k$$ and their congruences. Zbl 1469.11030
Guillera, Jesús
2020
A method for proving Ramanujan’s series for $$1/\pi$$. Zbl 1440.33019
Guillera, Jesús
2020
Bilateral Ramanujan-like series for $$1/\pi^k$$ and their congruences. Zbl 1469.11030
Guillera, Jesús
2020
Ramanujan series with a shift. Zbl 1428.33015
Guillera, Jesús
2019
WZ pairs and $$q$$-analogues of Ramanujan series for $$1/\pi$$. Zbl 1405.11021
Guillera, Jesús
2018
Dougall’s $$_5F_4$$ sum and the WZ algorithm. Zbl 1393.33009
Guillera, Jesús
2018
Proofs of some Ramanujan series for $$1/\pi$$ using a program due to Zeilberger. Zbl 1402.33007
Guillera, Jesús
2018
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
More Ramanujan-Orr formulas for $$1/\pi$$. Zbl 1386.33015
Guillera, Jesus
2017
New proofs of Borwein-type algorithms for Pi. Zbl 1402.11153
Guillera, Jesús
2016
Mahler measure and the WZ algorithm. Zbl 1321.33008
Guillera, Jesús; Rogers, Mathew
2015
A family of Ramanujan-Orr formulas for $$1/\pi$$. Zbl 1432.33014
Guillera, Jesús
2015
Ramanujan series upside-down. Zbl 1305.33014
Guillera, Jesus; Rogers, Mathew
2014
More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003
Guillera, Jesús
2013
WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151
Guillera, Jesús
2013
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
Ramanujan-like series for $$1/\pi^2$$ and string theory. Zbl 1259.81041
Almkvist, Gert; Guillera, Jesús
2012
Mosaic supercongruences of Ramanujan type. Zbl 1247.11153
Guillera, Jesús
2012
A new Ramanujan-like series for $$1/\pi ^{2}$$. Zbl 1238.33003
Guillera, Jesús
2011
On WZ-pairs which prove Ramanujan series. Zbl 1196.33005
Guillera, Jesús
2010
A matrix form of Ramanujan-type series for $$1/\pi$$. Zbl 1207.33012
Guillera, Jesús
2010
Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075
Guillera, Jesús; Sondow, Jonathan
2008
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
2008
Easy proofs of some Borwein algorithms for $$\pi$$. Zbl 1178.26003
Guillera, Jesús
2008
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
2006
A new method to obtain series for $$1/\pi$$ and $$1/\pi^2$$. Zbl 1113.11076
Guillera, Jesús
2006
A class of conjectured series representations for $$1/\pi$$. Zbl 1163.11031
Guillera, Jesús
2006
About a new kind of Ramanujan-type series. Zbl 1083.33004
Guillera, Jesús
2003
Some binomial series obtained by the WZ-method. Zbl 1013.33010
Guillera, Jesús
2002
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### Cited by 137 Authors

 22 Guo, Victor J. W. 19 Guillera, Jesús 13 Zudilin, Wadim 9 Chu, Wenchang 7 Campbell, John Maxwell 7 Simsek, Yilmaz 5 Sofo, Anthony 5 Wei, Chuanan 4 Chen, Chaoping 3 Adell, José Antonio 3 Baruah, Nayandeep Deka 3 Berndt, Bruce Carl 3 Cooper, Shaun 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 Brent, Richard Peirce 2 Chan, Heng Huat 2 Chen, Dirong 2 Chen, Xiaojing 2 Ferreira, Erasmo M. 2 He, Bing 2 Kohara, Anderson K. 2 Lagarias, Jeffrey C. 2 Lalín, Matilde Noemí 2 Levrie, Paul 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 van Gorder, Robert Ashton 2 Varona Malumbres, Juan Luis 2 Wang, Su-Dan 2 Xu, Aimin 2 Ye, Dongxi 2 You, Xu 2 Young, Paul Thomas 2 Zhang, Wenlong 1 Acikgoz, Mehmet 1 Allouche, Jean-Paul Simon 1 Almkvist, Gert 1 Alzer, Horst 1 Awad, Mohammed M. 1 Batir, Necdet 1 Bayad, Abdelmejid 1 Boyadzhiev, Khristo N. 1 Brychkov, Yury A. 1 Cantarini, Marco 1 Charalambakis, Nicolas Ch. 1 Chatzigeorgiou, George 1 Chen, Hongwei 1 Chen, Shaoshi 1 Chen, Yao-Han 1 Chen, Yungui 1 Cherman, Aleksey 1 Chisholm, Sarah 1 Colley, Susan Jane 1 Dai, Linlin 1 D’Aurizio, Jacopo 1 Deines-Schartz, Alyson 1 El Bachraoui, Mohamed 1 Erdenberger, Cord 1 Esposito, Flavia Lucia 1 Fatawat, Kalpana 1 Hadjicostas, Petros 1 Han, Xuefeng 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hou, Qinghu 1 Hu, Dianwang 1 Huang, Shouyou 1 Jha, Sumit Kumar 1 Jiménez-Gamero, María Dolores 1 Jodrá, Pedro 1 Jordan, Pedro M. 1 Kellner, Bernd C. 1 Koumandos, Stamatis 1 Krattenthaler, Christian Friedrich 1 Kurt, Burak 1 Li, Jianbo 1 Li, Wen-Ch’ing Winnie 1 Lian, Xiuguo 1 Lima, Fábio M. S. 1 Liu, Hongmei 1 Liu, Jicai 1 Liu, Yudong 1 Long, Ling ...and 37 more Authors
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### Cited in 61 Serials

 29 The Ramanujan Journal 12 Journal of Mathematical Analysis and Applications 12 Journal of Number Theory 10 Journal of Difference Equations and Applications 9 Integral Transforms and Special Functions 9 International Journal of Number Theory 5 Mathematics of Computation 5 Results in Mathematics 5 Journal of Inequalities and Applications 4 Journal of Approximation Theory 4 Proceedings of the American Mathematical Society 3 Experimental Mathematics 3 Journal of the Australian Mathematical Society 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 American Mathematical Monthly 2 Acta Arithmetica 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 Russian Journal of Mathematical Physics 2 AIMS Mathematics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 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 Constructive Approximation 1 Bulletin of the American Mathematical Society. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Journal of Integer Sequences 1 Communications of the Korean Mathematical Society 1 Journal of High Energy Physics 1 Integers 1 Missouri Journal of Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 1 Electronic Research Archive
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### Cited in 26 Fields

 126 Number theory (11-XX) 110 Special functions (33-XX) 30 Combinatorics (05-XX) 19 Numerical analysis (65-XX) 18 Sequences, series, summability (40-XX) 12 Approximations and expansions (41-XX) 10 Real functions (26-XX) 6 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 $$K$$-theory (19-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-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 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)