Edit Profile (opens in new tab) Long, Ling Co-Author Distance Author ID: long.ling Published as: Long, Ling Documents Indexed: 41 Publications since 2003, including 1 Book and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 39 Co-Authors with 36 Joint Publications 941 Co-Co-Authors all top 5 Co-Authors 6 single-authored 9 Li, Wen-Ch’ing Winnie 9 Swisher, Holly 8 Tu, Fang-Ting 4 Fuselier, Jenny G. 4 Kurth, Chris A. 4 Ramakrishna, Ravi Kumar 3 Deines-Schartz, Alyson 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 Tian, Hongli 1 Verrill, Helena A. 1 Xiang, Qing 1 Yuan, Hao 1 Zhou, Dejian 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 Memoirs of the American Mathematical Society 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 1 La Matematica all top 5 Fields 40 Number theory (11-XX) 16 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 38 Publications have been cited 405 times in 241 Documents Cited by ▼ Year ▼ Hypergeometric evaluation identities and supercongruences. Zbl 1215.33002 Long, Ling 96 2011 Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018 Long, Ling; Ramakrishna, Ravi 77 2016 Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Zbl 1376.33005 Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 19 2016 Hypergeometric functions over finite fields. Zbl 1443.11254 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 18 2019 On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015 Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling 16 2008 On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027 Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 13 2005 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1215.11043 Kurth, Chris A.; Long, Ling 13 2008 Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034 Li, Wen-Ching Winnie; Long, Ling 10 2012 On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021 Long, Ling 9 2008 Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070 Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing 8 2018 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). II. Zbl 1225.11050 Kurth, Chris; Long, Ling 8 2009 Supercongruences and complex multiplication. Zbl 1334.33020 Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao 8 2016 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 8 2021 Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003 Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan 7 2006 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058 Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 On a conjecture of Kimoto and Wakayama. Zbl 1402.11111 Long, Ling; Osburn, Robert; Swisher, Holly 7 2016 Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009 Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 7 2016 Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058 Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 7 2013 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017 Chan, Heng Huat; Long, Ling; Zudilin, V. V. 6 2010 Zeros of some level 2 Eisenstein series. Zbl 1218.11044 Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie 6 2010 Interpolation of martingale Orlicz-Hardy spaces. Zbl 1488.60114 Long, L.; Tian, H.; Zhou, D. 6 2021 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 6 2019 A short proof of Milne’s formulas for sums of integer squares. Zbl 1084.11012 Long, Ling; Yang, Yifan 5 2005 On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520 Long, Ling 5 2004 Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041 Li, Wen-Ching Winnie; Long, Ling 5 2014 On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060 Hoffman, Jerome William; Long, Ling; Verrill, Helena 4 2012 Modular forms for noncongruence subgroups. Zbl 1168.11310 Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 4 2005 Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075 Kurth, Chris A.; Long, Ling 4 2008 Hypergeometric functions over finite fields. Zbl 1510.11164 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi Kumar; Swisher, Holly; Tu, Fang-Ting 4 2022 Some numeric hypergeometric supercongruences. Zbl 1489.11006 Long, Ling 4 2020 A whipple \(_7F_6\) formula revisited. Zbl 1490.11050 Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting 3 2022 A cubic analogue of the Jacobsthal identity. Zbl 1233.11002 Chan, Heng Huat; Long, Ling; Yang, Yifan 2 2011 Zeros of classical Eisenstein series and recent developments. Zbl 1250.11041 Garthwaite, Sharon Anne; Long, Ling; Swisher, Holly; Treneer, Stephanie 2 2011 On a Shioda-Inose structure of a family of K3 surfaces. Zbl 1044.14001 Long, Ling 2 2003 Catalan loops. Zbl 1229.20070 Long, Ling; Smith, Jonathan D. H. 2 2010 Potentially \(\operatorname{GL}_2\)-type Galois representations associated to noncongruence modular forms. Zbl 1443.11092 Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 1 2019 Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103 Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan 1 2012 Computing special \(L\)-values of certain modular forms with complex multiplication. Zbl 1456.11057 Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting 1 2018 Hypergeometric functions over finite fields. Zbl 1510.11164 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi Kumar; Swisher, Holly; Tu, Fang-Ting 4 2022 A whipple \(_7F_6\) formula revisited. Zbl 1490.11050 Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting 3 2022 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 8 2021 Interpolation of martingale Orlicz-Hardy spaces. Zbl 1488.60114 Long, L.; Tian, H.; Zhou, D. 6 2021 Some numeric hypergeometric supercongruences. Zbl 1489.11006 Long, Ling 4 2020 Hypergeometric functions over finite fields. Zbl 1443.11254 Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting 18 2019 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 6 2019 Potentially \(\operatorname{GL}_2\)-type Galois representations associated to noncongruence modular forms. Zbl 1443.11092 Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 1 2019 Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070 Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing 8 2018 Computing special \(L\)-values of certain modular forms with complex multiplication. Zbl 1456.11057 Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting 1 2018 Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018 Long, Ling; Ramakrishna, Ravi 77 2016 Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Zbl 1376.33005 Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 19 2016 Supercongruences and complex multiplication. Zbl 1334.33020 Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao 8 2016 On a conjecture of Kimoto and Wakayama. Zbl 1402.11111 Long, Ling; Osburn, Robert; Swisher, Holly 7 2016 Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009 Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting 7 2016 Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041 Li, Wen-Ching Winnie; Long, Ling 5 2014 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058 Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058 Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling 7 2013 Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034 Li, Wen-Ching Winnie; Long, Ling 10 2012 On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060 Hoffman, Jerome William; Long, Ling; Verrill, Helena 4 2012 Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103 Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan 1 2012 Hypergeometric evaluation identities and supercongruences. Zbl 1215.33002 Long, Ling 96 2011 A cubic analogue of the Jacobsthal identity. Zbl 1233.11002 Chan, Heng Huat; Long, Ling; Yang, Yifan 2 2011 Zeros of classical Eisenstein series and recent developments. Zbl 1250.11041 Garthwaite, Sharon Anne; Long, Ling; Swisher, Holly; Treneer, Stephanie 2 2011 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017 Chan, Heng Huat; Long, Ling; Zudilin, V. V. 6 2010 Zeros of some level 2 Eisenstein series. Zbl 1218.11044 Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie 6 2010 Catalan loops. Zbl 1229.20070 Long, Ling; Smith, Jonathan D. H. 2 2010 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). II. Zbl 1225.11050 Kurth, Chris; Long, Ling 8 2009 On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015 Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling 16 2008 On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1215.11043 Kurth, Chris A.; Long, Ling 13 2008 On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021 Long, Ling 9 2008 Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075 Kurth, Chris A.; Long, Ling 4 2008 Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003 Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan 7 2006 On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027 Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 13 2005 A short proof of Milne’s formulas for sums of integer squares. Zbl 1084.11012 Long, Ling; Yang, Yifan 5 2005 Modular forms for noncongruence subgroups. Zbl 1168.11310 Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng 4 2005 On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520 Long, Ling 5 2004 On a Shioda-Inose structure of a family of K3 surfaces. Zbl 1044.14001 Long, Ling 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 43 Guo, Victor J. W. 20 Long, Ling 13 Liu, Jicai 12 Kalita, Gautam 10 Mao, Guo-Shuai 10 Wang, Xiaoxia 9 Schlosser, Michael J. 9 Swisher, Holly 9 Tu, Fang-Ting 8 Jana, Arijit 7 Barman, Rupam 7 He, Bing 7 Tripathi, Mohit 7 Wei, Chuanan 7 Zudilin, Wadim 5 Osburn, Robert 5 Pan, Hao 5 Sun, Zhi-Wei 4 Franc, Cameron 4 Kazalicki, Matija 4 Li, Wen-Ch’ing Winnie 4 Liu, Yudong 4 Mason, Geoffrey 4 Ramakrishna, Ravi Kumar 4 Wakayama, Masato 4 Wang, Su-Dan 4 Yang, Yifan 3 Chetry, Arjun Singh 3 Fuselier, Jenny G. 3 Goodson, Heidi 3 Liu, Tong 3 Meagher, Karen 3 Ni, He-Xia 3 Ramírez, José Luis 3 Wang, Liyuan 2 Deines-Schartz, Alyson 2 Evans, Ronald J. 2 Fang, Jianping 2 Fiori, Andrew 2 Frechette, Sharon M. 2 Fukuhara, Shinji 2 Greene, John 2 Gu, Chengyang 2 Hu, Dianwang 2 Jung, Ji-Hwan 2 Kimoto, Kazufumi 2 Komatsu, Takao 2 Li, Long 2 Lian, Xiuguo 2 Ng, Siu-Hung 2 Otsubo, Noriyuki 2 Reyes-Bustos, Cid 2 Sahu, Brundaban 2 Saikia, Neelam 2 Sin, Peter K. W. 2 Smith, Jonathan Dallas Hayden 2 Straub, Armin 2 Tang, Na 2 Tauraso, Roberto 2 Wang, Chen 2 Xu, Chang 2 Yue, Mingbing 2 Yui, Noriko 2 Zeilberger, Doron 1 Ahanjideh, Milad 1 Apagodu, Moa 1 Applegate, David L. 1 Atkin, Arthur Oliver Lonsdale 1 Azharuddin, Shaik 1 Babei, Angelica 1 Balasubramanian, Ramachandran 1 Berghaus, David 1 Besrour, Khalil 1 Beukers, Frits 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 Delaygue, Éric 1 Doran, Charles F. 1 Dujella, Andrej 1 Engbers, John 1 Furusho, Hidekazu 1 Galvin, David J. 1 Gannon, Terry 1 Garbagnati, Alice 1 Garthwaite, Sharon Anne 1 Gottesman, Richard 1 Guillera, Jesús 1 Gun, Sanoli 1 Guo, Jun 1 Haddock, Andrew 1 Hajouji, Nadir 1 Hashimoto, Ki-ichiro 1 He, Haihong 1 He, Qiao ...and 88 more Authors all top 5 Cited in 80 Serials 19 Results in Mathematics 19 The Ramanujan Journal 18 Journal of Mathematical Analysis and Applications 17 Journal of Number Theory 14 International Journal of Number Theory 13 Proceedings of the American Mathematical Society 12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Research in Number Theory 8 Journal of Combinatorial Theory. Series A 6 Bulletin of the Australian Mathematical Society 5 Research in the Mathematical Sciences 4 Finite Fields and their Applications 3 Rocky Mountain Journal of Mathematics 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 Communications in Mathematical Physics 2 Mathematics of Computation 2 Acta Arithmetica 2 Colloquium Mathematicum 2 Advances in Applied Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Integral Transforms and Special Functions 2 Mathematics 1 American Mathematical Monthly 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 Periodica Mathematica Hungarica 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 The Journal of the Indian Mathematical Society. New Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 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 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Revista Matemática Complutense 1 Journal of Mathematical Study 1 Journal of High Energy Physics 1 Journal of the Australian Mathematical Society 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Tunisian Journal of Mathematics 1 Electronic Research Archive 1 La Matematica all top 5 Cited in 27 Fields 219 Number theory (11-XX) 150 Special functions (33-XX) 62 Combinatorics (05-XX) 16 Algebraic geometry (14-XX) 14 Group theory and generalizations (20-XX) 6 Quantum theory (81-XX) 4 Integral transforms, operational calculus (44-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 General algebraic systems (08-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 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year