Edit Profile (opens in new tab) Long, Ling Compute Distance To: Compute Author ID: long.ling Published as: Long, Ling Documents Indexed: 38 Publications since 2003 2 Contributions as Editor Co-Authors: 39 Co-Authors with 33 Joint Publications 794 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Li, Wen-Ch’ing Winnie 8 Swisher, Holly 6 Tu, Fang-Ting 3 Deines-Schartz, Alyson 3 Fuselier, Jenny G. 3 Kurth, Chris A. 3 Ramakrishna, Ravi 3 Yang, Yifan 3 Zudilin, Wadim 2 Atkin, Arthur Oliver Lonsdale 2 Chan, Heng Huat 2 Garthwaite, Sharon Anne 2 Hoffman, Jerome William 2 Liu, Tong 2 Smith, Jonathan Dallas Hayden 2 Treneer, Stephanie 2 Yang, Zifeng 2 Yui, Noriko 1 Chisholm, Sarah 1 Choi, Jiyoung 1 Eischen, Ellen Elizabeth 1 Hashimoto, Ki-ichiro 1 Kibelbek, Jonas 1 Mahlburg, Karl 1 Morales, Jorge Federico 1 Moss, Kevin 1 Nebe, Gabriele 1 Ng, Siu-Hung 1 Oporowski, Bogdan 1 Osburn, Robert 1 Perlis, Robert 1 Plaza, Rafael 1 Pries, Rachel J. 1 Sheller, Benjamin A. 1 Sin, Peter K. W. 1 Stange, Katherine E. 1 Verrill, Helena A. 1 Xiang, Qing 1 Yuan, Hao all top 5 Serials 7 Journal of Number Theory 3 Proceedings of the American Mathematical Society 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series A 2 Transactions of the American Mathematical Society 1 American Mathematical Monthly 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Canadian Mathematical Bulletin 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 RIMS Kôkyûroku Bessatsu 1 Mathematics 1 Association for Women in Mathematics Series all top 5 Fields 37 Number theory (11-XX) 14 Special functions (33-XX) 6 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 300 times in 183 Documents Cited by ▼ Year ▼ Hypergeometric evaluation identities and supercongruences. Zbl 1215.33002Long, Ling 77 2011 Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018Long, Ling; Ramakrishna, Ravi 53 2016 On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling 14 2008 Hypergeometric functions over finite fields. Zbl 1443.11254Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 13 2019 Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Zbl 1376.33005Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 13 2016 On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 12 2005 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1215.11043Kurth, Chris A.; Long, Ling 10 2008 Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034Li, Wen-Ching Winnie; Long, Ling 9 2012 On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021Long, Ling 8 2008 Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing 6 2018 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). II. Zbl 1225.11050Kurth, Chris; Long, Ling 6 2009 Zeros of some level 2 Eisenstein series. Zbl 1218.11044Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie 6 2010 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 6 2013 Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan 6 2006 Supercongruences and complex multiplication. Zbl 1334.33020Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao 6 2016 A short proof of Milne’s formulas for sums of integer squares. Zbl 1084.11012Long, Ling; Yang, Yifan 5 2005 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 5 2019 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017Chan, Heng Huat; Long, Ling; Zudilin, V. V. 5 2010 Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 5 2013 On a conjecture of Kimoto and Wakayama. Zbl 1402.11111Long, Ling; Osburn, Robert; Swisher, Holly 5 2016 Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 5 2016 Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041Li, Wen-Ching Winnie; Long, Ling 4 2014 On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060Hoffman, Jerome William; Long, Ling; Verrill, Helena 3 2012 On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520Long, Ling 3 2004 Modular forms for noncongruence subgroups. Zbl 1168.11310Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 3 2005 Catalan loops. Zbl 1229.20070Long, Ling; Smith, Jonathan D. H. 2 2010 Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075Kurth, Chris A.; Long, Ling 2 2008 Zeros of classical Eisenstein series and recent developments. Zbl 1250.11041Garthwaite, Sharon Anne; Long, Ling; Swisher, Holly; Treneer, Stephanie 2 2011 On a Shioda-Inose structure of a family of K3 surfaces. Zbl 1044.14001Long, Ling 1 2003 A cubic analogue of the Jacobsthal identity. Zbl 1233.11002Chan, Heng Huat; Long, Ling; Yang, Yifan 1 2011 Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan 1 2012 Some numeric hypergeometric supercongruences. Zbl 07315968Long, Ling 1 2020 Interpolation of martingale Orlicz-Hardy spaces. Zbl 07399064Long, L.; Tian, H.; Zhou, D. 1 2021 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 1 2021 Interpolation of martingale Orlicz-Hardy spaces. Zbl 07399064Long, L.; Tian, H.; Zhou, D. 1 2021 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 1 2021 Some numeric hypergeometric supercongruences. Zbl 07315968Long, Ling 1 2020 Hypergeometric functions over finite fields. Zbl 1443.11254Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 13 2019 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 5 2019 Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing 6 2018 Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018Long, Ling; Ramakrishna, Ravi 53 2016 Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Zbl 1376.33005Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 13 2016 Supercongruences and complex multiplication. Zbl 1334.33020Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao 6 2016 On a conjecture of Kimoto and Wakayama. Zbl 1402.11111Long, Ling; Osburn, Robert; Swisher, Holly 5 2016 Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 5 2016 Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041Li, Wen-Ching Winnie; Long, Ling 4 2014 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 6 2013 Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 5 2013 Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034Li, Wen-Ching Winnie; Long, Ling 9 2012 On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060Hoffman, Jerome William; Long, Ling; Verrill, Helena 3 2012 Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan 1 2012 Hypergeometric evaluation identities and supercongruences. Zbl 1215.33002Long, Ling 77 2011 Zeros of classical Eisenstein series and recent developments. Zbl 1250.11041Garthwaite, Sharon Anne; Long, Ling; Swisher, Holly; Treneer, Stephanie 2 2011 A cubic analogue of the Jacobsthal identity. Zbl 1233.11002Chan, Heng Huat; Long, Ling; Yang, Yifan 1 2011 Zeros of some level 2 Eisenstein series. Zbl 1218.11044Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie 6 2010 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017Chan, Heng Huat; Long, Ling; Zudilin, V. V. 5 2010 Catalan loops. Zbl 1229.20070Long, Ling; Smith, Jonathan D. H. 2 2010 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). II. Zbl 1225.11050Kurth, Chris; Long, Ling 6 2009 On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling 14 2008 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1215.11043Kurth, Chris A.; Long, Ling 10 2008 On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021Long, Ling 8 2008 Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075Kurth, Chris A.; Long, Ling 2 2008 Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan 6 2006 On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 12 2005 A short proof of Milne’s formulas for sums of integer squares. Zbl 1084.11012Long, Ling; Yang, Yifan 5 2005 Modular forms for noncongruence subgroups. Zbl 1168.11310Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 3 2005 On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520Long, Ling 3 2004 On a Shioda-Inose structure of a family of K3 surfaces. Zbl 1044.14001Long, Ling 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 33 Guo, Victor J. W. 17 Long, Ling 12 Liu, Jicai 9 Kalita, Gautam 8 Mao, Guo-Shuai 8 Swisher, Holly 7 He, Bing 7 Tu, Fang-Ting 6 Barman, Rupam 6 Jana, Arijit 6 Schlosser, Michael J. 6 Wang, Xiaoxia 6 Zudilin, Wadim 5 Osburn, Robert 5 Pan, Hao 5 Tripathi, Mohit 4 Kazalicki, Matija 4 Mason, Geoffrey 4 Sun, Zhi-Wei 4 Wang, Su-Dan 4 Wei, Chuanan 4 Yang, Yifan 3 Chetry, Arjun Singh 3 Goodson, Heidi 3 Li, Wen-Ch’ing Winnie 3 Liu, Tong 3 Liu, Yudong 3 Ramakrishna, Ravi 3 Ramírez, José Luis 2 Deines-Schartz, Alyson 2 Evans, Ronald J. 2 Fang, Jianping 2 Franc, Cameron 2 Frechette, Sharon M. 2 Fukuhara, Shinji 2 Fuselier, Jenny G. 2 Greene, John 2 Jung, Ji-Hwan 2 Komatsu, Takao 2 Li, Long 2 Meagher, Karen 2 Sahu, Brundaban 2 Saikia, Neelam 2 Smith, Jonathan Dallas Hayden 2 Straub, Armin 2 Wakayama, Masato 2 Yue, Mingbing 2 Zeilberger, Doron 1 Ahanjideh, Milad 1 Apagodu, Moa 1 Applegate, David L. 1 Aricheta, Victor Manuel 1 Atkin, Arthur Oliver Lonsdale 1 Balasubramanian, Ramachandran 1 Besrour, Khalil 1 Celeste, Richell O. 1 Chattopadhyaya, Aradhita 1 Chen, Shaoshi 1 Chen, William Yun 1 Chen, Yungui 1 Cheon, Gi-Sang 1 Chisholm, Sarah 1 Dawsey, Madeline Locus 1 Doran, Charles F. 1 Dujella, Andrej 1 Engbers, John 1 Galvin, David J. 1 Gannon, Terry 1 Garbagnati, Alice 1 Garthwaite, Sharon Anne 1 Gottesman, Richard 1 Gu, Chengyang 1 Guillera, Jesús 1 Gun, Sanoli 1 Guo, Jun 1 Haddock, Andrew 1 Hajouji, Nadir 1 Hashimoto, Ki-ichiro 1 He, Qiao 1 Hoffman, Jerome William 1 Hou, Qinghu 1 Hu, Dianwang 1 Kelly, Tyler L. 1 Kibelbek, Jonas 1 Kilford, Lloyd James Peter 1 Kimoto, Kazufumi 1 Kızılaslan, Gonca 1 Klangwang, Jetjaroen 1 Knaf, Hagen 1 Kohnen, Winfried 1 Kurth, Chris A. 1 Lian, Xiuguo 1 Lin, Ke-Yu 1 Masri, Nadia 1 Mayer, Dieter H. 1 McCarthy, Dermot 1 Mező, István 1 Momeni, Arash 1 Moss, Kevin 1 Mu, Yanping ...and 50 more Authors all top 5 Cited in 59 Serials 16 Journal of Number Theory 15 Journal of Mathematical Analysis and Applications 14 Results in Mathematics 14 International Journal of Number Theory 12 Proceedings of the American Mathematical Society 11 The Ramanujan Journal 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Research in Number Theory 5 Bulletin of the Australian Mathematical Society 5 Journal of Combinatorial Theory. Series A 4 Research in the Mathematical Sciences 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 3 Journal of Symbolic Computation 3 Journal of Difference Equations and Applications 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Colloquium Mathematicum 2 Advances in Applied Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Finite Fields and their Applications 2 Integral Transforms and Special Functions 2 Mathematics 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 Constructive Approximation 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Designs, Codes and Cryptography 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Australasian Journal of Combinatorics 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Journal of High Energy Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Science China. Mathematics 1 Electronic Research Archive all top 5 Cited in 24 Fields 167 Number theory (11-XX) 109 Special functions (33-XX) 44 Combinatorics (05-XX) 12 Algebraic geometry (14-XX) 9 Group theory and generalizations (20-XX) 5 Quantum theory (81-XX) 4 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year