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Author ID: guillera.jesus Recent zbMATH articles by "Guillera, Jesús"
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

Publications by Year

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
60
2008
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
36
2006
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
32
2008
Some binomial series obtained by the WZ-method. Zbl 1013.33010
Guillera, Jesús
24
2002
About a new kind of Ramanujan-type series. Zbl 1083.33004
Guillera, Jesús
24
2003
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
Guillera, Jesús; Zudilin, Wadim
21
2012
WZ pairs and \(q\)-analogues of Ramanujan series for \(1/\pi\). Zbl 1405.11021
Guillera, Jesús
15
2018
A new method to obtain series for \(1/\pi\) and \(1/\pi^2\). Zbl 1113.11076
Guillera, Jesús
11
2006
A new Ramanujan-like series for \(1/\pi ^{2}\). Zbl 1238.33003
Guillera, Jesús
11
2011
More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003
Guillera, Jesús
8
2013
A class of conjectured series representations for \(1/\pi\). Zbl 1163.11031
Guillera, Jesús
7
2006
On WZ-pairs which prove Ramanujan series. Zbl 1196.33005
Guillera, Jesús
7
2010
WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151
Guillera, Jesús
7
2013
A matrix form of Ramanujan-type series for \(1/\pi\). Zbl 1207.33012
Guillera, Jesús
6
2010
Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162
Guillera, Jesús; Zudilin, Wadim
6
2013
A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019
Guillera, Jesús
4
2020
Dougall’s \(_5F_4\) sum and the WZ algorithm. Zbl 1393.33009
Guillera, Jesús
4
2018
Mahler measure and the WZ algorithm. Zbl 1321.33008
Guillera, Jesús; Rogers, Mathew
4
2015
Ramanujan-like series for \(1/\pi^2\) and string theory. Zbl 1259.81041
Almkvist, Gert; Guillera, Jesús
4
2012
Ramanujan series upside-down. Zbl 1305.33014
Guillera, Jesus; Rogers, Mathew
4
2014
Mosaic supercongruences of Ramanujan type. Zbl 1247.11153
Guillera, Jesús
4
2012
Proofs of some Ramanujan series for \(1/\pi\) using a program due to Zeilberger. Zbl 1402.33007
Guillera, Jesús
3
2018
New proofs of Borwein-type algorithms for Pi. Zbl 1402.11153
Guillera, Jesús
3
2016
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
More Ramanujan-Orr formulas for \(1/\pi\). Zbl 1386.33015
Guillera, Jesus
2
2017
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
1
2018
Ramanujan series with a shift. Zbl 1428.33015
Guillera, Jesús
1
2019
Bilateral Ramanujan-like series for \(1/\pi^k\) and their congruences. Zbl 1469.11030
Guillera, Jesús
1
2020
A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019
Guillera, Jesús
4
2020
Bilateral Ramanujan-like series for \(1/\pi^k\) and their congruences. Zbl 1469.11030
Guillera, Jesús
1
2020
Ramanujan series with a shift. Zbl 1428.33015
Guillera, Jesús
1
2019
WZ pairs and \(q\)-analogues of Ramanujan series for \(1/\pi\). Zbl 1405.11021
Guillera, Jesús
15
2018
Dougall’s \(_5F_4\) sum and the WZ algorithm. Zbl 1393.33009
Guillera, Jesús
4
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
2
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
4
2014
More hypergeometric identities related to Ramanujan-type series. Zbl 1278.33003
Guillera, Jesús
8
2013
WZ-proofs of “divergent” Ramanujan-type series. Zbl 1285.11151
Guillera, Jesús
7
2013
Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162
Guillera, Jesús; Zudilin, Wadim
6
2013
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
Guillera, Jesús; Zudilin, Wadim
21
2012
Ramanujan-like series for \(1/\pi^2\) and string theory. Zbl 1259.81041
Almkvist, Gert; Guillera, Jesús
4
2012
Mosaic supercongruences of Ramanujan type. Zbl 1247.11153
Guillera, Jesús
4
2012
A new Ramanujan-like series for \(1/\pi ^{2}\). Zbl 1238.33003
Guillera, Jesús
11
2011
On WZ-pairs which prove Ramanujan series. Zbl 1196.33005
Guillera, Jesús
7
2010
A matrix form of Ramanujan-type series for \(1/\pi\). Zbl 1207.33012
Guillera, Jesús
6
2010
Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075
Guillera, Jesús; Sondow, Jonathan
60
2008
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
32
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
36
2006
A new method to obtain series for \(1/\pi\) and \(1/\pi^2\). Zbl 1113.11076
Guillera, Jesús
11
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
24
2003
Some binomial series obtained by the WZ-method. Zbl 1013.33010
Guillera, Jesús
24
2002
all top 5

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
all top 5

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

Citations by Year