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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

34 Publications have been cited 300 times in 183 Documents Cited by Year
Hypergeometric evaluation identities and supercongruences. Zbl 1215.33002
Long, Ling
77
2011
Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018
Long, Ling; Ramakrishna, Ravi
53
2016
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling
14
2008
Hypergeometric functions over finite fields. Zbl 1443.11254
Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting
13
2019
Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Zbl 1376.33005
Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting
13
2016
On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027
Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng
12
2005
On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1215.11043
Kurth, Chris A.; Long, Ling
10
2008
Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034
Li, Wen-Ching Winnie; Long, Ling
9
2012
On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021
Long, Ling
8
2008
Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070
Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing
6
2018
On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\). II. Zbl 1225.11050
Kurth, Chris; Long, Ling
6
2009
Zeros of some level 2 Eisenstein series. Zbl 1218.11044
Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie
6
2010
\(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058
Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly
6
2013
Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003
Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan
6
2006
Supercongruences and complex multiplication. Zbl 1334.33020
Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao
6
2016
A short proof of Milne’s formulas for sums of integer squares. Zbl 1084.11012
Long, Ling; Yang, Yifan
5
2005
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
5
2019
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
5
2010
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
5
2013
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
5
2016
Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009
Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting
5
2016
Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041
Li, Wen-Ching Winnie; Long, Ling
4
2014
On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060
Hoffman, Jerome William; Long, Ling; Verrill, Helena
3
2012
On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520
Long, Ling
3
2004
Modular forms for noncongruence subgroups. Zbl 1168.11310
Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng
3
2005
Catalan loops. Zbl 1229.20070
Long, Ling; Smith, Jonathan D. H.
2
2010
Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075
Kurth, Chris A.; Long, Ling
2
2008
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
1
2003
A cubic analogue of the Jacobsthal identity. Zbl 1233.11002
Chan, Heng Huat; Long, Ling; Yang, Yifan
1
2011
Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). Zbl 1296.11103
Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan
1
2012
Some numeric hypergeometric supercongruences. Zbl 07315968
Long, Ling
1
2020
Interpolation of martingale Orlicz-Hardy spaces. Zbl 07399064
Long, L.; Tian, H.; Zhou, D.
1
2021
Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
1
2021
Interpolation of martingale Orlicz-Hardy spaces. Zbl 07399064
Long, L.; Tian, H.; Zhou, D.
1
2021
Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
1
2021
Some numeric hypergeometric supercongruences. Zbl 07315968
Long, Ling
1
2020
Hypergeometric functions over finite fields. Zbl 1443.11254
Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi; Swisher, Holly; Tu, Fang-Ting
13
2019
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
5
2019
Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\). Zbl 1385.05070
Long, Ling; Plaza, Rafael; Sin, Peter; Xiang, Qing
6
2018
Some supercongruences occurring in truncated hypergeometric series. Zbl 1336.33018
Long, Ling; Ramakrishna, Ravi
53
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
13
2016
Supercongruences and complex multiplication. Zbl 1334.33020
Kibelbek, Jonas; Long, Ling; Moss, Kevin; Sheller, Benjamin; Yuan, Hao
6
2016
On a conjecture of Kimoto and Wakayama. Zbl 1402.11111
Long, Ling; Osburn, Robert; Swisher, Holly
5
2016
Generalized Legendre curves and quaternionic multiplication. Zbl 1336.33009
Deines, Alyson; Fuselier, Jenny G.; Long, Ling; Swisher, Holly; Tu, Fang-Ting
5
2016
Atkin and Swinnerton-Dyer congruences and noncongruence modular forms. Zbl 1365.11041
Li, Wen-Ching Winnie; Long, Ling
4
2014
\(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058
Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly
6
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
5
2013
Fourier coefficients of noncongruence cuspforms. Zbl 1282.11034
Li, Wen-Ching Winnie; Long, Ling
9
2012
On \(\ell\)-adic representations for a space of noncongruence cuspforms. Zbl 1292.11060
Hoffman, Jerome William; Long, Ling; Verrill, Helena
3
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
77
2011
Zeros of classical Eisenstein series and recent developments. Zbl 1250.11041
Garthwaite, Sharon Anne; Long, Ling; Swisher, Holly; Treneer, Stephanie
2
2011
A cubic analogue of the Jacobsthal identity. Zbl 1233.11002
Chan, Heng Huat; Long, Ling; Yang, Yifan
1
2011
Zeros of some level 2 Eisenstein series. Zbl 1218.11044
Garthwaite, Sharon; Long, Ling; Swisher, Holly; Treneer, Stephanie
6
2010
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
5
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
6
2009
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, 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 1215.11043
Kurth, Chris A.; Long, Ling
10
2008
On Atkin and Swinnerton-Dyer congruence relations. III. Zbl 1175.11021
Long, Ling
8
2008
Computations with finite index subgroups of \(\text{PSL}_2(\mathbb Z)\) using Farey symbols. Zbl 1204.11075
Kurth, Chris A.; Long, Ling
2
2008
Reciprocity for multirestricted Stirling numbers. Zbl 1151.05003
Choi, Ji Young; Long, Ling; Ng, Siu-Hung; Smith, Jonathan
6
2006
On Atkin–Swinnerton-Dyer congruence relations. Zbl 1083.11027
Li, Wen-Ching Winnie; Long, Ling; Yang, Zifeng
12
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
3
2005
On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. Zbl 1100.14520
Long, Ling
3
2004
On a Shioda-Inose structure of a family of K3 surfaces. Zbl 1044.14001
Long, Ling
1
2003
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

Citations by Year