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Author ID: guillera.jesus Recent zbMATH articles by "Guillera, Jesús"
Published as: Guillera, Jesús; Guillera, Jesus
External Links: MGP

Publications by Year

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 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

Citations by Year