## Cooper, Shaun

Compute Distance To:
 Author ID: cooper.shaun Published as: Cooper, Shaun; Cooper, S. Homepage: https://www.massey.ac.nz/massey/expertise/profile.cfm?stref=662330 External Links: MGP
 Documents Indexed: 78 Publications since 1988, including 1 Book 2 Contributions as Editor Reviewing Activity: 51 Reviews Co-Authors: 36 Co-Authors with 52 Joint Publications 659 Co-Co-Authors
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### Co-Authors

 25 single-authored 13 Hirschhorn, Michael D. 10 Ye, Dongxi 9 Chan, Heng Huat 7 Lam, Heung Yeung 4 Toh, Pee Choon 3 Liaw, Wen-Chin 3 Zudilin, Wadim 2 Barrucand, Pierre-A. 2 Baruah, Nayandeep Deka 2 Gun, Sanoli 2 Ramakrishnan, Balakrishnan 2 Waldron, Shayne F. D. 1 Adiga, Chandrashekar 1 Anusha, T. 1 Berndt, Bruce Carl 1 Bhuvan, E. N. 1 Brock, Bishop 1 Burrows, Antony 1 Chan, Heichi 1 Chien, Stanley Y.-P. 1 Ecer, Akin 1 Ge, Jinqi 1 Guillera, Jesús 1 Han, Jung Hun 1 Huber, Tim 1 Kane, Ben 1 Kim, Hee-Kyung 1 Lewis, Richard P. 1 Pahl, Elke 1 Périaux, Jacques F. 1 Schlosser, Michael J. 1 Schwerdtfeger, Peter 1 Sellers, James Allen 1 Sica, Francesco 1 Straub, Armin 1 van Brunt, Bruce 1 Vasuki, Kaliyur Ranganna 1 Venkatachaliengar, K. 1 Wake, Graeme Charles 1 Walker, Wayne J. 1 Wan, James Gu Feng
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### Serials

 10 The Ramanujan Journal 6 International Journal of Number Theory 5 Journal of Mathematical Analysis and Applications 4 Bulletin of the Australian Mathematical Society 4 Journal of Number Theory 3 Acta Arithmetica 3 Journal of Approximation Theory 3 Integers 3 Journal of the Australian Mathematical Society 2 Discrete Mathematics 2 New Zealand Journal of Mathematics 2 Georgian Mathematical Journal 2 Proceedings of the Jangjeon Mathematical Society 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Indian Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Aequationes Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Mathematical Chronicle 1 Experimental Mathematics 1 Communications in Applied Analysis 1 Acta Mathematica Sinica. English Series 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Ramanujan Mathematical Society Lecture Notes Series 1 Journal of Combinatorics and Number Theory 1 Monographs in Number Theory
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### Fields

 67 Number theory (11-XX) 50 Special functions (33-XX) 24 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

68 Publications have been cited 592 times in 374 Documents Cited by Year
The eigenstructure of the Bernstein operator. Zbl 0963.41006
Cooper, Shaun; Waldron, Shayne
2000
Ramanujan’s theta functions. Zbl 1428.11001
Cooper, Shaun
2017
The quintuple product identity. Zbl 1159.33300
Cooper, Shaun
2006
Powers of theta functions. Zbl 1231.11048
Chan, Heng Huat; Cooper, Shaun
2008
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
2009
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
2010
Rational analogues of Ramanujan’s series for $$1/\pi$$. Zbl 1268.11165
Chan, Heng Huat; Cooper, Shaun
2012
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
2005
Sums of five, seven and nine squares. Zbl 1050.11044
Cooper, Shaun
2002
Inversion formulas for elliptic functions. Zbl 1248.11031
Cooper, Shaun
2009
On the Diophantine equation $$n^2 = x^2 +by^2 +cz^2$$. Zbl 1309.11022
Cooper, Shaun; Lam, Heung Yeung
2013
Sporadic sequences, modular forms and new series for $$1/\pi$$. Zbl 1336.11031
Cooper, Shaun
2012
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
2008
On Ramanujan’s function $$k(q)=r(q)r^{2}(q^{2})$$. Zbl 1239.11051
Cooper, Shaun
2009
Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545
Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce
2000
Evaluation of the convolution sums
$$\sum_{l+20m=n} \sigma(l)\sigma(m)$$, $$\sum_{4l+5m=n} \sigma(l)\sigma(m)$$ and $$\sum_{2l+5m=n} \sigma(l)\sigma(m)$$.
Zbl 1318.11002
Cooper, Shaun; Ye, Dongxi
2014
Powers of Euler’s product and related identities. Zbl 0989.11053
Cooper, Shaun; Hirschhorn, Michael D.; Lewis, Richard
2000
On sums of an even number of squares, and an even number of triangular numbers: An elementary approach based on Ramanujan’s $$_1\psi_1$$ summation formula. Zbl 0998.11019
Cooper, Shaun
2001
Relations between squares and triangles. Zbl 0991.11014
Barrucand, P.; Cooper, S.; Hirschhorn, M.
2002
The Rogers-Ramanujan continued fraction and its level 13 analogue. Zbl 1321.11109
Cooper, Shaun; Ye, Dongxi
2015
Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases. Zbl 1400.11094
Cooper, Shaun; Ye, Dongxi
2016
Congruences modulo powers of 2 for a certain partition function. Zbl 1215.05010
Chan, Hei-Chi; Cooper, Shaun
2010
Cubic theta functions. Zbl 1107.33022
Cooper, Shaun
2003
The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008
Cooper, Shaun; Waldron, Shayne
2002
The Askey-Wilson operator and the $${}_6\Phi_5$$ summation formula. Zbl 1029.33009
Cooper, Shaun
2002
Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction. Zbl 1294.11118
Cooper, Shaun; Ye, Dongxi
2014
On the number of representations of integers by certain quadratic forms. II. Zbl 1234.11046
Cooper, Shaun
2009
Level 10 analogues of Ramanujan’s series for $$1/\pi$$. Zbl 1282.11032
Cooper, Shaun
2012
On the number of representations of certain integers as sums of 11 or 13 squares. Zbl 1078.11023
Cooper, Shaun
2003
On the number of primitive representations of integers as sums of squares. Zbl 1121.11033
Cooper, Shaun; Hirschhorn, Michael
2007
Ramanujan’s Eisenstein series and powers of Dedekind’s eta-function. Zbl 1120.11021
Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon
2007
Analogues of the Ramanujan-Mordell theorem. Zbl 1409.11029
Cooper, Shaun; Kane, Ben; Ye, Dongxi
2017
Series and iterations for $$1/\pi$$. Zbl 1226.11133
Cooper, Shaun
2010
Determinant identities for theta functions. Zbl 1147.11024
Cooper, Shaun; Toh, Pee Choon
2008
Cubic elliptic functions. Zbl 1118.33009
Cooper, Shaun
2006
On some infinite product identities. Zbl 0993.05012
Cooper, Shaun; Hirschhorn, Michael
2001
Hypergeometric transformation formulas of degrees 3, 7, 11 and 23. Zbl 1395.11076
Cooper, Shaun; Ge, Jinqi; Ye, Dongxi
2015
Factorizations that involve Ramanujan’s function $$k(q)=r(q)r^2(q^2)$$. Zbl 1282.11028
Cooper, Shaun; Hirschhorn, Michael D.
2011
Results of Hurwitz type for three squares. Zbl 1040.11019
Cooper, S.; Hirschhorn, M. D.
2004
Sixteen Eisenstein series. Zbl 1195.11048
Cooper, Shaun; Lam, Heung Yeung
2009
The level 12 analogue of Ramanujan’s function $$k$$. Zbl 1404.11040
Cooper, Shaun; Ye, Dongxi
2016
Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. Zbl 1247.11003
Venkatachaliengar, K.
2012
On $$\eta^3(a\tau)\eta^3(b\tau)$$ with $$a+b=8$$. Zbl 1151.11018
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2008
On the number of representations of integers by certain quadratic forms. Zbl 1220.11054
Cooper, Shaun
2008
A simple proof of an expansion of an eta-quotient as a Lambert series. Zbl 1078.33020
Cooper, Shaun
2005
Construction of Eisenstein series for $$\Gamma_{0}(p)$$. Zbl 1179.11011
Cooper, Shaun
2009
On the lacunarity of two-eta-products. Zbl 1163.11033
Cooper, Shaun; Gun, Sanoli; Ramakrishnan, B.
2006
Eisenstein series and theta functions to the septic base. Zbl 1218.11043
Chan, Heng Huat; Cooper, Shaun
2008
Eisenstein series and elliptic functions on $$\Gamma _{0}(10)$$. Zbl 1267.11037
Cooper, Shaun; Lam, Heung Yeung
2011
On some sum-to-product identities. Zbl 0978.05004
Cooper, Shaun; Hirschhorn, Michael
2001
Analogical reasoning and proof discovery. Zbl 0666.68096
Brock, Bishop; Cooper, Shaun; Pierce, William
1988
The Macdonald identities for $$G_2$$ and some extensions. Zbl 0895.33005
Cooper, Shaun
1997
Theta function identities for level 15. Zbl 1314.11022
Cooper, Shaun
2010
An odd square as a sum of an odd number of odd squares. Zbl 1145.11030
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2008
A new proof of the Macdonald identities for $$A_{n-1}$$. Zbl 0883.33012
Cooper, Shaun
1997
Elliptic integrals and Ramanujan-type series for $$1/\pi$$ associated with $${\Gamma}_{0}(N)$$, where $$N$$ is a product of two small primes. Zbl 1460.11050
Anusha, T.; Bhuvan, E. N.; Cooper, S.; Vasuki, K. R.
2019
The 26th power of Dedekind’s $$\eta$$ -function. Zbl 1161.11330
Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon
2006
The Rogers-Ramanujan continued fraction and a quintic iteration for $$1/\pi$$. Zbl 1141.11059
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2007
Hypergeometric modular equations. Zbl 1428.33014
2019
Representations of squares by certain quinary quadratic forms. Zbl 1294.11042
Cooper, Shaun; Lam, Heung Yeung; Ye, Dongxi
2013
Sums of squares and sums of triangular numbers. Zbl 1136.11027
Cooper, Shaun; Hirschhorn, Michael
2006
Sums of two, four, six and eight squares and triangular numbers: an elementary approach. Zbl 1041.11021
Cooper, Shaun; Lam, Heung Yeung
2002
Relations among Fourier coefficients of certain eta products. Zbl 1086.11013
Cooper, Shaun; Gun, Sanoli; Hirschhorn, Michael; Ramakrishnan, B.
2005
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
Holonomic alchemy and series for $$1/\pi$$. Zbl 1391.11165
Cooper, Shaun; Wan, James G.; Zudilin, Wadim
2017
A functional equation and Jacobian elliptic functions. Zbl 0911.39013
Cooper, Shaun
1998
A $$q$$-analogue of Kummer’s 20 relations. Zbl 1006.33011
Cooper, Shaun
2002
Results of Hurwitz type for five or more squares. Zbl 1028.11024
Barrucand, P.; Cooper, S.; Hirschhorn, M. D.
2002
Elliptic integrals and Ramanujan-type series for $$1/\pi$$ associated with $${\Gamma}_{0}(N)$$, where $$N$$ is a product of two small primes. Zbl 1460.11050
Anusha, T.; Bhuvan, E. N.; Cooper, S.; Vasuki, K. R.
2019
Hypergeometric modular equations. Zbl 1428.33014
2019
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
Ramanujan’s theta functions. Zbl 1428.11001
Cooper, Shaun
2017
Analogues of the Ramanujan-Mordell theorem. Zbl 1409.11029
Cooper, Shaun; Kane, Ben; Ye, Dongxi
2017
Holonomic alchemy and series for $$1/\pi$$. Zbl 1391.11165
Cooper, Shaun; Wan, James G.; Zudilin, Wadim
2017
Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases. Zbl 1400.11094
Cooper, Shaun; Ye, Dongxi
2016
The level 12 analogue of Ramanujan’s function $$k$$. Zbl 1404.11040
Cooper, Shaun; Ye, Dongxi
2016
The Rogers-Ramanujan continued fraction and its level 13 analogue. Zbl 1321.11109
Cooper, Shaun; Ye, Dongxi
2015
Hypergeometric transformation formulas of degrees 3, 7, 11 and 23. Zbl 1395.11076
Cooper, Shaun; Ge, Jinqi; Ye, Dongxi
2015
Evaluation of the convolution sums
$$\sum_{l+20m=n} \sigma(l)\sigma(m)$$, $$\sum_{4l+5m=n} \sigma(l)\sigma(m)$$ and $$\sum_{2l+5m=n} \sigma(l)\sigma(m)$$.
Zbl 1318.11002
Cooper, Shaun; Ye, Dongxi
2014
Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction. Zbl 1294.11118
Cooper, Shaun; Ye, Dongxi
2014
On the Diophantine equation $$n^2 = x^2 +by^2 +cz^2$$. Zbl 1309.11022
Cooper, Shaun; Lam, Heung Yeung
2013
Representations of squares by certain quinary quadratic forms. Zbl 1294.11042
Cooper, Shaun; Lam, Heung Yeung; Ye, Dongxi
2013
Rational analogues of Ramanujan’s series for $$1/\pi$$. Zbl 1268.11165
Chan, Heng Huat; Cooper, Shaun
2012
Sporadic sequences, modular forms and new series for $$1/\pi$$. Zbl 1336.11031
Cooper, Shaun
2012
Level 10 analogues of Ramanujan’s series for $$1/\pi$$. Zbl 1282.11032
Cooper, Shaun
2012
Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. Zbl 1247.11003
Venkatachaliengar, K.
2012
Factorizations that involve Ramanujan’s function $$k(q)=r(q)r^2(q^2)$$. Zbl 1282.11028
Cooper, Shaun; Hirschhorn, Michael D.
2011
Eisenstein series and elliptic functions on $$\Gamma _{0}(10)$$. Zbl 1267.11037
Cooper, Shaun; Lam, Heung Yeung
2011
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
2010
Congruences modulo powers of 2 for a certain partition function. Zbl 1215.05010
Chan, Hei-Chi; Cooper, Shaun
2010
Series and iterations for $$1/\pi$$. Zbl 1226.11133
Cooper, Shaun
2010
Theta function identities for level 15. Zbl 1314.11022
Cooper, Shaun
2010
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
2009
Inversion formulas for elliptic functions. Zbl 1248.11031
Cooper, Shaun
2009
On Ramanujan’s function $$k(q)=r(q)r^{2}(q^{2})$$. Zbl 1239.11051
Cooper, Shaun
2009
On the number of representations of integers by certain quadratic forms. II. Zbl 1234.11046
Cooper, Shaun
2009
Sixteen Eisenstein series. Zbl 1195.11048
Cooper, Shaun; Lam, Heung Yeung
2009
Construction of Eisenstein series for $$\Gamma_{0}(p)$$. Zbl 1179.11011
Cooper, Shaun
2009
Powers of theta functions. Zbl 1231.11048
Chan, Heng Huat; Cooper, Shaun
2008
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
2008
Determinant identities for theta functions. Zbl 1147.11024
Cooper, Shaun; Toh, Pee Choon
2008
On $$\eta^3(a\tau)\eta^3(b\tau)$$ with $$a+b=8$$. Zbl 1151.11018
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2008
On the number of representations of integers by certain quadratic forms. Zbl 1220.11054
Cooper, Shaun
2008
Eisenstein series and theta functions to the septic base. Zbl 1218.11043
Chan, Heng Huat; Cooper, Shaun
2008
An odd square as a sum of an odd number of odd squares. Zbl 1145.11030
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2008
On the number of primitive representations of integers as sums of squares. Zbl 1121.11033
Cooper, Shaun; Hirschhorn, Michael
2007
Ramanujan’s Eisenstein series and powers of Dedekind’s eta-function. Zbl 1120.11021
Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon
2007
The Rogers-Ramanujan continued fraction and a quintic iteration for $$1/\pi$$. Zbl 1141.11059
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin
2007
The quintuple product identity. Zbl 1159.33300
Cooper, Shaun
2006
Cubic elliptic functions. Zbl 1118.33009
Cooper, Shaun
2006
On the lacunarity of two-eta-products. Zbl 1163.11033
Cooper, Shaun; Gun, Sanoli; Ramakrishnan, B.
2006
The 26th power of Dedekind’s $$\eta$$ -function. Zbl 1161.11330
Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon
2006
Sums of squares and sums of triangular numbers. Zbl 1136.11027
Cooper, Shaun; Hirschhorn, Michael
2006
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
2005
A simple proof of an expansion of an eta-quotient as a Lambert series. Zbl 1078.33020
Cooper, Shaun
2005
Relations among Fourier coefficients of certain eta products. Zbl 1086.11013
Cooper, Shaun; Gun, Sanoli; Hirschhorn, Michael; Ramakrishnan, B.
2005
Results of Hurwitz type for three squares. Zbl 1040.11019
Cooper, S.; Hirschhorn, M. D.
2004
Cubic theta functions. Zbl 1107.33022
Cooper, Shaun
2003
On the number of representations of certain integers as sums of 11 or 13 squares. Zbl 1078.11023
Cooper, Shaun
2003
Sums of five, seven and nine squares. Zbl 1050.11044
Cooper, Shaun
2002
Relations between squares and triangles. Zbl 0991.11014
Barrucand, P.; Cooper, S.; Hirschhorn, M.
2002
The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008
Cooper, Shaun; Waldron, Shayne
2002
The Askey-Wilson operator and the $${}_6\Phi_5$$ summation formula. Zbl 1029.33009
Cooper, Shaun
2002
Sums of two, four, six and eight squares and triangular numbers: an elementary approach. Zbl 1041.11021
Cooper, Shaun; Lam, Heung Yeung
2002
A $$q$$-analogue of Kummer’s 20 relations. Zbl 1006.33011
Cooper, Shaun
2002
Results of Hurwitz type for five or more squares. Zbl 1028.11024
Barrucand, P.; Cooper, S.; Hirschhorn, M. D.
2002
On sums of an even number of squares, and an even number of triangular numbers: An elementary approach based on Ramanujan’s $$_1\psi_1$$ summation formula. Zbl 0998.11019
Cooper, Shaun
2001
On some infinite product identities. Zbl 0993.05012
Cooper, Shaun; Hirschhorn, Michael
2001
On some sum-to-product identities. Zbl 0978.05004
Cooper, Shaun; Hirschhorn, Michael
2001
The eigenstructure of the Bernstein operator. Zbl 0963.41006
Cooper, Shaun; Waldron, Shayne
2000
Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545
Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce
2000
Powers of Euler’s product and related identities. Zbl 0989.11053
Cooper, Shaun; Hirschhorn, Michael D.; Lewis, Richard
2000
A functional equation and Jacobian elliptic functions. Zbl 0911.39013
Cooper, Shaun
1998
The Macdonald identities for $$G_2$$ and some extensions. Zbl 0895.33005
Cooper, Shaun
1997
A new proof of the Macdonald identities for $$A_{n-1}$$. Zbl 0883.33012
Cooper, Shaun
1997
Analogical reasoning and proof discovery. Zbl 0666.68096
Brock, Bishop; Cooper, Shaun; Pierce, William
1988
all top 5

### Cited by 322 Authors

 35 Cooper, Shaun 19 Ye, Dongxi 16 Toh, Pee Choon 12 Chan, Heng Huat 11 Rasa, Ioan 11 Xia, Ernest X. W. 10 Ostrovska, Sofiya 9 Sun, Zhihong 9 Zudilin, Wadim 8 Aygin, Zafer Selçuk 8 Huber, Tim 8 Tang, Dazhao 7 Baruah, Nayandeep Deka 7 Park, Yoon Kyung 7 Ramakrishnan, Balakrishnan 7 Sahu, Brundaban 7 Yao, Olivia Xiang Mei 6 Oh, Byeong-Kweon 6 Osburn, Robert 6 Straub, Armin 5 Bhuvan, E. N. 5 Chern, Shane 5 Chu, Wenchang 5 Kim, Kyoungmin 5 Singh, Anup Kumar 5 van Brunt, Bruce 5 Wang, Liuquan 4 Adiga, Chandrashekar 4 Guillera, Jesús 4 Heilmann, Margareta 4 Hirschhorn, Michael D. 4 Lin, Bernard L. S. 4 Mc Laughlin, James G. 4 Vasuki, Kaliyur Ranganna 4 Waldron, Shayne F. D. 4 Wan, James Gu Feng 4 Williams, Kenneth S. 3 Acar, Tuncer 3 Alaca, Şaban 3 Aral, Ali 3 Berndt, Bruce Carl 3 Campiti, Michele 3 Delgado, Jorge F. M. 3 Elsner, Carsten 3 Gonska, Heinz Herbert 3 Gun, Sanoli 3 Lam, Heung Yeung 3 Lee, Yoonjin 3 Liu, Jicai 3 Ma, Xinrong 3 Marshall, Jonathan C. 3 Matsuda, Kazuhide 3 Ntienjem, Ebénézer 3 Ojah, Kanan Kumari 3 Peña, Juan Manuel 3 Qin, Hourong 3 Shiokawa, Iekata 3 Sills, Andrew V. 3 Sun, Zhi-Wei 3 Wake, Graeme Charles 2 Acu, Ana Maria 2 Amdeberhan, Tewodros 2 Anusha, T. 2 Berkovich, Alexander 2 Cao, Zhu 2 Chan, Song Heng 2 Chaudhary, M. P. 2 Chaudhary, Sangeeta 2 Chen, Rong 2 Chen, Shichao 2 Chen, Sin-Da 2 Cheng, Kam Hang 2 Cho, Bumkyu 2 Gavrea, Ioan 2 He, Bing 2 Ho, Thi Phuong Nhi 2 Huang, Sen-Shan 2 Hürlimann, Werner 2 Ismail, Mourad El-Houssieny 2 Ivan, Mircea Dumitru 2 Kesicioğlu, Yavuz 2 Kim, Byungchan 2 Kim, Mingyu 2 Liu, Zhi-Guo 2 Lu, Wei 2 Malekar, R. A. 2 Manté, Claude 2 McCarthy, Dermot 2 Mursaleen, Mohammad 2 Naaz, Ambreen 2 Pehlivan, Lerna 2 Rababah, Abedallah 2 Rogers, Mathew D. 2 Saikia, Nipen 2 Shen, Lichien 2 Shimomura, Shun 2 Simeonov, Plamen C. 2 Srivastava, Bhaskar 2 Srivastava, Hari Mohan 2 Stănilă, Elena-Dorina ...and 222 more Authors
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### Cited in 97 Serials

 54 The Ramanujan Journal 44 International Journal of Number Theory 33 Journal of Number Theory 30 Journal of Mathematical Analysis and Applications 12 Journal of Approximation Theory 10 Bulletin of the Australian Mathematical Society 8 Indian Journal of Pure & Applied Mathematics 7 Applied Mathematics and Computation 7 Proceedings of the American Mathematical Society 6 Advances in Applied Mathematics 5 Rocky Mountain Journal of Mathematics 5 Journal of Difference Equations and Applications 5 Journal of the Australian Mathematical Society 4 Discrete Mathematics 4 Advances in Mathematics 4 Results in Mathematics 4 Positivity 4 Acta Mathematica Sinica. English Series 4 Integers 4 Open Mathematics 4 Research in Number Theory 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Annals of Combinatorics 3 Mediterranean Journal of Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Calcolo 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Constructive Approximation 2 Journal of Automated Reasoning 2 Journal of the Ramanujan Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 The Electronic Journal of Combinatorics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Abstract and Applied Analysis 2 Journal of High Energy Physics 2 The ANZIAM Journal 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Science China. Mathematics 2 Analysis and Mathematical Physics 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Ukrainian Mathematical Journal 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 BIT 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Kyungpook Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Osaka Journal of Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Note di Matematica 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Computational Statistics and Data Analysis 1 Archive for Mathematical Logic 1 The Australasian Journal of Combinatorics 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Filomat 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Applications (Singapore) 1 Communications in Mathematical Analysis 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 ISRN Discrete Mathematics 1 Mathematics 1 Journal of Function Spaces 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Numbers 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Constructive Mathematical Analysis 1 Electronic Research Archive
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### Cited in 31 Fields

 277 Number theory (11-XX) 117 Special functions (33-XX) 76 Combinatorics (05-XX) 38 Approximations and expansions (41-XX) 19 Numerical analysis (65-XX) 18 Algebraic geometry (14-XX) 17 Functions of a complex variable (30-XX) 12 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX)