Edit Profile (opens in new tab) Cooper, Shaun Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0963.41006Cooper, Shaun; Waldron, Shayne 43 2000 Ramanujan’s theta functions. Zbl 1428.11001Cooper, Shaun 38 2017 The quintuple product identity. Zbl 1159.33300Cooper, Shaun 31 2006 Powers of theta functions. Zbl 1231.11048Chan, Heng Huat; Cooper, Shaun 25 2008 Quintic and septic Eisenstein series. Zbl 1259.11046Cooper, Shaun; Toh, Pee Choon 23 2009 Congruences satisfied by Apéry-like numbers. Zbl 1303.11009Chan, Heng Huat; Cooper, Shaun; Sica, Francesco 23 2010 Rational analogues of Ramanujan’s series for \(1/\pi\). Zbl 1268.11165Chan, Heng Huat; Cooper, Shaun 19 2012 A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun 19 2005 Sums of five, seven and nine squares. Zbl 1050.11044Cooper, Shaun 18 2002 Inversion formulas for elliptic functions. Zbl 1248.11031Cooper, Shaun 17 2009 On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\). Zbl 1309.11022Cooper, Shaun; Lam, Heung Yeung 16 2013 Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031Cooper, Shaun 15 2012 Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael 15 2008 On Ramanujan’s function \(k(q)=r(q)r^{2}(q^{2})\). Zbl 1239.11051Cooper, Shaun 14 2009 Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce 14 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 1318.11002Cooper, Shaun; Ye, Dongxi 12 2014 Powers of Euler’s product and related identities. Zbl 0989.11053Cooper, Shaun; Hirschhorn, Michael D.; Lewis, Richard 12 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 0998.11019Cooper, Shaun 11 2001 Relations between squares and triangles. Zbl 0991.11014Barrucand, P.; Cooper, S.; Hirschhorn, M. 11 2002 The Rogers-Ramanujan continued fraction and its level 13 analogue. Zbl 1321.11109Cooper, Shaun; Ye, Dongxi 10 2015 Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases. Zbl 1400.11094Cooper, Shaun; Ye, Dongxi 10 2016 Congruences modulo powers of 2 for a certain partition function. Zbl 1215.05010Chan, Hei-Chi; Cooper, Shaun 10 2010 Cubic theta functions. Zbl 1107.33022Cooper, Shaun 10 2003 The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008Cooper, Shaun; Waldron, Shayne 10 2002 The Askey-Wilson operator and the \({}_6\Phi_5\) summation formula. Zbl 1029.33009Cooper, Shaun 9 2002 Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction. Zbl 1294.11118Cooper, Shaun; Ye, Dongxi 8 2014 On the number of representations of integers by certain quadratic forms. II. Zbl 1234.11046Cooper, Shaun 7 2009 Level 10 analogues of Ramanujan’s series for \(1/\pi\). Zbl 1282.11032Cooper, Shaun 7 2012 On the number of representations of certain integers as sums of 11 or 13 squares. Zbl 1078.11023Cooper, Shaun 7 2003 On the number of primitive representations of integers as sums of squares. Zbl 1121.11033Cooper, Shaun; Hirschhorn, Michael 7 2007 Ramanujan’s Eisenstein series and powers of Dedekind’s eta-function. Zbl 1120.11021Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon 7 2007 Analogues of the Ramanujan-Mordell theorem. Zbl 1409.11029Cooper, Shaun; Kane, Ben; Ye, Dongxi 6 2017 Series and iterations for \(1/\pi \). Zbl 1226.11133Cooper, Shaun 6 2010 Determinant identities for theta functions. Zbl 1147.11024Cooper, Shaun; Toh, Pee Choon 6 2008 Cubic elliptic functions. Zbl 1118.33009Cooper, Shaun 6 2006 On some infinite product identities. Zbl 0993.05012Cooper, Shaun; Hirschhorn, Michael 6 2001 Hypergeometric transformation formulas of degrees 3, 7, 11 and 23. Zbl 1395.11076Cooper, Shaun; Ge, Jinqi; Ye, Dongxi 5 2015 Factorizations that involve Ramanujan’s function \(k(q)=r(q)r^2(q^2)\). Zbl 1282.11028Cooper, Shaun; Hirschhorn, Michael D. 5 2011 Results of Hurwitz type for three squares. Zbl 1040.11019Cooper, S.; Hirschhorn, M. D. 5 2004 Sixteen Eisenstein series. Zbl 1195.11048Cooper, Shaun; Lam, Heung Yeung 5 2009 The level 12 analogue of Ramanujan’s function \(k\). Zbl 1404.11040Cooper, Shaun; Ye, Dongxi 4 2016 Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. Zbl 1247.11003Venkatachaliengar, K. 4 2012 On \(\eta^3(a\tau)\eta^3(b\tau)\) with \(a+b=8\). Zbl 1151.11018Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 4 2008 On the number of representations of integers by certain quadratic forms. Zbl 1220.11054Cooper, Shaun 4 2008 A simple proof of an expansion of an eta-quotient as a Lambert series. Zbl 1078.33020Cooper, Shaun 4 2005 Construction of Eisenstein series for \(\Gamma_{0}(p)\). Zbl 1179.11011Cooper, Shaun 4 2009 On the lacunarity of two-eta-products. Zbl 1163.11033Cooper, Shaun; Gun, Sanoli; Ramakrishnan, B. 3 2006 Eisenstein series and theta functions to the septic base. Zbl 1218.11043Chan, Heng Huat; Cooper, Shaun 3 2008 Eisenstein series and elliptic functions on \(\Gamma _{0}(10)\). Zbl 1267.11037Cooper, Shaun; Lam, Heung Yeung 3 2011 On some sum-to-product identities. Zbl 0978.05004Cooper, Shaun; Hirschhorn, Michael 3 2001 Analogical reasoning and proof discovery. Zbl 0666.68096Brock, Bishop; Cooper, Shaun; Pierce, William 3 1988 The Macdonald identities for \(G_2\) and some extensions. Zbl 0895.33005Cooper, Shaun 3 1997 Theta function identities for level 15. Zbl 1314.11022Cooper, Shaun 2 2010 An odd square as a sum of an odd number of odd squares. Zbl 1145.11030Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 2 2008 A new proof of the Macdonald identities for \(A_{n-1}\). Zbl 0883.33012Cooper, Shaun 2 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 1460.11050Anusha, T.; Bhuvan, E. N.; Cooper, S.; Vasuki, K. R. 2 2019 The 26th power of Dedekind’s \(\eta\) -function. Zbl 1161.11330Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon 2 2006 The Rogers-Ramanujan continued fraction and a quintic iteration for \(1/\pi\). Zbl 1141.11059Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 2 2007 Hypergeometric modular equations. Zbl 1428.33014Cooper, Shaun; Zudilin, Wadim 1 2019 Representations of squares by certain quinary quadratic forms. Zbl 1294.11042Cooper, Shaun; Lam, Heung Yeung; Ye, Dongxi 1 2013 Sums of squares and sums of triangular numbers. Zbl 1136.11027Cooper, Shaun; Hirschhorn, Michael 1 2006 Sums of two, four, six and eight squares and triangular numbers: an elementary approach. Zbl 1041.11021Cooper, Shaun; Lam, Heung Yeung 1 2002 Relations among Fourier coefficients of certain eta products. Zbl 1086.11013Cooper, Shaun; Gun, Sanoli; Hirschhorn, Michael; Ramakrishnan, B. 1 2005 Crouching AGM, hidden modularity. Zbl 1437.11058Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 Holonomic alchemy and series for \(1/\pi \). Zbl 1391.11165Cooper, Shaun; Wan, James G.; Zudilin, Wadim 1 2017 A functional equation and Jacobian elliptic functions. Zbl 0911.39013Cooper, Shaun 1 1998 A \(q\)-analogue of Kummer’s 20 relations. Zbl 1006.33011Cooper, Shaun 1 2002 Results of Hurwitz type for five or more squares. Zbl 1028.11024Barrucand, P.; Cooper, S.; Hirschhorn, M. D. 1 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 1460.11050Anusha, T.; Bhuvan, E. N.; Cooper, S.; Vasuki, K. R. 2 2019 Hypergeometric modular equations. Zbl 1428.33014Cooper, Shaun; Zudilin, Wadim 1 2019 Crouching AGM, hidden modularity. Zbl 1437.11058Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 Ramanujan’s theta functions. Zbl 1428.11001Cooper, Shaun 38 2017 Analogues of the Ramanujan-Mordell theorem. Zbl 1409.11029Cooper, Shaun; Kane, Ben; Ye, Dongxi 6 2017 Holonomic alchemy and series for \(1/\pi \). Zbl 1391.11165Cooper, Shaun; Wan, James G.; Zudilin, Wadim 1 2017 Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases. Zbl 1400.11094Cooper, Shaun; Ye, Dongxi 10 2016 The level 12 analogue of Ramanujan’s function \(k\). Zbl 1404.11040Cooper, Shaun; Ye, Dongxi 4 2016 The Rogers-Ramanujan continued fraction and its level 13 analogue. Zbl 1321.11109Cooper, Shaun; Ye, Dongxi 10 2015 Hypergeometric transformation formulas of degrees 3, 7, 11 and 23. Zbl 1395.11076Cooper, Shaun; Ge, Jinqi; Ye, Dongxi 5 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 1318.11002Cooper, Shaun; Ye, Dongxi 12 2014 Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction. Zbl 1294.11118Cooper, Shaun; Ye, Dongxi 8 2014 On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\). Zbl 1309.11022Cooper, Shaun; Lam, Heung Yeung 16 2013 Representations of squares by certain quinary quadratic forms. Zbl 1294.11042Cooper, Shaun; Lam, Heung Yeung; Ye, Dongxi 1 2013 Rational analogues of Ramanujan’s series for \(1/\pi\). Zbl 1268.11165Chan, Heng Huat; Cooper, Shaun 19 2012 Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031Cooper, Shaun 15 2012 Level 10 analogues of Ramanujan’s series for \(1/\pi\). Zbl 1282.11032Cooper, Shaun 7 2012 Development of elliptic functions according to Ramanujan. Edited and revised by Shaun Cooper. Zbl 1247.11003Venkatachaliengar, K. 4 2012 Factorizations that involve Ramanujan’s function \(k(q)=r(q)r^2(q^2)\). Zbl 1282.11028Cooper, Shaun; Hirschhorn, Michael D. 5 2011 Eisenstein series and elliptic functions on \(\Gamma _{0}(10)\). Zbl 1267.11037Cooper, Shaun; Lam, Heung Yeung 3 2011 Congruences satisfied by Apéry-like numbers. Zbl 1303.11009Chan, Heng Huat; Cooper, Shaun; Sica, Francesco 23 2010 Congruences modulo powers of 2 for a certain partition function. Zbl 1215.05010Chan, Hei-Chi; Cooper, Shaun 10 2010 Series and iterations for \(1/\pi \). Zbl 1226.11133Cooper, Shaun 6 2010 Theta function identities for level 15. Zbl 1314.11022Cooper, Shaun 2 2010 Quintic and septic Eisenstein series. Zbl 1259.11046Cooper, Shaun; Toh, Pee Choon 23 2009 Inversion formulas for elliptic functions. Zbl 1248.11031Cooper, Shaun 17 2009 On Ramanujan’s function \(k(q)=r(q)r^{2}(q^{2})\). Zbl 1239.11051Cooper, Shaun 14 2009 On the number of representations of integers by certain quadratic forms. II. Zbl 1234.11046Cooper, Shaun 7 2009 Sixteen Eisenstein series. Zbl 1195.11048Cooper, Shaun; Lam, Heung Yeung 5 2009 Construction of Eisenstein series for \(\Gamma_{0}(p)\). Zbl 1179.11011Cooper, Shaun 4 2009 Powers of theta functions. Zbl 1231.11048Chan, Heng Huat; Cooper, Shaun 25 2008 Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael 15 2008 Determinant identities for theta functions. Zbl 1147.11024Cooper, Shaun; Toh, Pee Choon 6 2008 On \(\eta^3(a\tau)\eta^3(b\tau)\) with \(a+b=8\). Zbl 1151.11018Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 4 2008 On the number of representations of integers by certain quadratic forms. Zbl 1220.11054Cooper, Shaun 4 2008 Eisenstein series and theta functions to the septic base. Zbl 1218.11043Chan, Heng Huat; Cooper, Shaun 3 2008 An odd square as a sum of an odd number of odd squares. Zbl 1145.11030Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 2 2008 On the number of primitive representations of integers as sums of squares. Zbl 1121.11033Cooper, Shaun; Hirschhorn, Michael 7 2007 Ramanujan’s Eisenstein series and powers of Dedekind’s eta-function. Zbl 1120.11021Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon 7 2007 The Rogers-Ramanujan continued fraction and a quintic iteration for \(1/\pi\). Zbl 1141.11059Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin 2 2007 The quintuple product identity. Zbl 1159.33300Cooper, Shaun 31 2006 Cubic elliptic functions. Zbl 1118.33009Cooper, Shaun 6 2006 On the lacunarity of two-eta-products. Zbl 1163.11033Cooper, Shaun; Gun, Sanoli; Ramakrishnan, B. 3 2006 The 26th power of Dedekind’s \(\eta\) -function. Zbl 1161.11330Chan, Heng Huat; Cooper, Shaun; Toh, Pee Choon 2 2006 Sums of squares and sums of triangular numbers. Zbl 1136.11027Cooper, Shaun; Hirschhorn, Michael 1 2006 A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun 19 2005 A simple proof of an expansion of an eta-quotient as a Lambert series. Zbl 1078.33020Cooper, Shaun 4 2005 Relations among Fourier coefficients of certain eta products. Zbl 1086.11013Cooper, Shaun; Gun, Sanoli; Hirschhorn, Michael; Ramakrishnan, B. 1 2005 Results of Hurwitz type for three squares. Zbl 1040.11019Cooper, S.; Hirschhorn, M. D. 5 2004 Cubic theta functions. Zbl 1107.33022Cooper, Shaun 10 2003 On the number of representations of certain integers as sums of 11 or 13 squares. Zbl 1078.11023Cooper, Shaun 7 2003 Sums of five, seven and nine squares. Zbl 1050.11044Cooper, Shaun 18 2002 Relations between squares and triangles. Zbl 0991.11014Barrucand, P.; Cooper, S.; Hirschhorn, M. 11 2002 The diagonalisation of the multivariate Bernstein operator. Zbl 1020.41008Cooper, Shaun; Waldron, Shayne 10 2002 The Askey-Wilson operator and the \({}_6\Phi_5\) summation formula. Zbl 1029.33009Cooper, Shaun 9 2002 Sums of two, four, six and eight squares and triangular numbers: an elementary approach. Zbl 1041.11021Cooper, Shaun; Lam, Heung Yeung 1 2002 A \(q\)-analogue of Kummer’s 20 relations. Zbl 1006.33011Cooper, Shaun 1 2002 Results of Hurwitz type for five or more squares. Zbl 1028.11024Barrucand, P.; Cooper, S.; Hirschhorn, M. D. 1 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 0998.11019Cooper, Shaun 11 2001 On some infinite product identities. Zbl 0993.05012Cooper, Shaun; Hirschhorn, Michael 6 2001 On some sum-to-product identities. Zbl 0978.05004Cooper, Shaun; Hirschhorn, Michael 3 2001 The eigenstructure of the Bernstein operator. Zbl 0963.41006Cooper, Shaun; Waldron, Shayne 43 2000 Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce 14 2000 Powers of Euler’s product and related identities. Zbl 0989.11053Cooper, Shaun; Hirschhorn, Michael D.; Lewis, Richard 12 2000 A functional equation and Jacobian elliptic functions. Zbl 0911.39013Cooper, Shaun 1 1998 The Macdonald identities for \(G_2\) and some extensions. Zbl 0895.33005Cooper, Shaun 3 1997 A new proof of the Macdonald identities for \(A_{n-1}\). Zbl 0883.33012Cooper, Shaun 2 1997 Analogical reasoning and proof discovery. Zbl 0666.68096Brock, Bishop; Cooper, Shaun; Pierce, William 3 1988 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year