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Author ID: long.ling Recent zbMATH articles by "Long, Ling"
Published as: Long, Ling

Publications by Year

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 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

Citations by Year