The Ramanujan JournalAn International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan Short Title: Ramanujan J. Publisher: Springer US, New York, NY ISSN: 1382-4090; 1572-9303/e Online: https://link.springer.com/journal/11139/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,100 Publications (since 1997) References Indexed: 1,879 Publications with 34,031 References. all top 5 Latest Issues 63, No. 3 (2024) 63, No. 2 (2024) 63, No. 1 (2024) 62, No. 4 (2023) 62, No. 3 (2023) 62, No. 2 (2023) 62, No. 1 (2023) 61, No. 4 (2023) 61, No. 3 (2023) 61, No. 2 (2023) 61, No. 1 (2023) 60, No. 4 (2023) 60, No. 3 (2023) 60, No. 2 (2023) 60, No. 1 (2023) 59, No. 4 (2022) 59, No. 3 (2022) 59, No. 2 (2022) 59, No. 1 (2022) 58, No. 4 (2022) 58, No. 3 (2022) 58, No. 2 (2022) 58, No. 1 (2022) 57, No. 4 (2022) 57, No. 3 (2022) 57, No. 2 (2022) 57, No. 1 (2022) 56, No. 3 (2021) 56, No. 2 (2021) 56, No. 1 (2021) 55, No. 3 (2021) 55, No. 2 (2021) 55, No. 1 (2021) 54, No. 3 (2021) 54, No. 2 (2021) 54, No. 1 (2021) 53, No. 3 (2020) 53, No. 2 (2020) 53, No. 1 (2020) 52, No. 3 (2020) 52, No. 2 (2020) 52, No. 1 (2020) 51, No. 3 (2020) 51, No. 2 (2020) 51, No. 1 (2020) 50, No. 3 (2019) 50, No. 2 (2019) 50, No. 1 (2019) 49, No. 3 (2019) 49, No. 2 (2019) 49, No. 1 (2019) 48, No. 3 (2019) 48, No. 2 (2019) 48, No. 1 (2019) 47, No. 3 (2018) 47, No. 2 (2018) 47, No. 1 (2018) 46, No. 3 (2018) 46, No. 2 (2018) 46, No. 1 (2018) 45, No. 3 (2018) 45, No. 2 (2018) 45, No. 1 (2018) 44, No. 3 (2017) 44, No. 2 (2017) 44, No. 1 (2017) 43, No. 3 (2017) 43, No. 2 (2017) 43, No. 1 (2017) 42, No. 3 (2017) 42, No. 2 (2017) 42, No. 1 (2017) 41, No. 1-3 (2016) 40, No. 3 (2016) 40, No. 2 (2016) 40, No. 1 (2016) 39, No. 3 (2016) 39, No. 2 (2016) 39, No. 1 (2016) 38, No. 3 (2015) 38, No. 2 (2015) 38, No. 1 (2015) 37, No. 3 (2015) 37, No. 2 (2015) 37, No. 1 (2015) 36, No. 3 (2015) 36, No. 1-2 (2015) 35, No. 3 (2014) 35, No. 2 (2014) 35, No. 1 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 3 (2014) 33, No. 2 (2014) 33, No. 1 (2014) 32, No. 3 (2013) 32, No. 2 (2013) 32, No. 1 (2013) 31, No. 3 (2013) ...and 87 more Volumes all top 5 Authors 31 Hirschhorn, Michael D. 21 Xia, Ernest X. W. 19 Andrews, George Eyre 16 Merca, Mircea 15 Lin, Bernard L. S. 15 Sárközy, András 14 Baruah, Nayandeep Deka 14 Berndt, Bruce Carl 14 Chern, Shane 14 Sellers, James Allen 14 Yao, Olivia Xiang Mei 13 Kohnen, Winfried 12 Alladi, Krishnaswami 12 Chu, Wenchang 12 Nicolas, Jean-Louis 12 Zhou, Yajun 11 Luca, Florian 11 Moll, Victor Hugo 11 Yee, Ae Ja 10 Borwein, Jonathan Michael 10 Chen, William Yong-Chuan 10 Cooper, Shaun 10 Mc Laughlin, James G. 10 Zeng, Jiang 9 Bringmann, Kathrin 9 Elliott, Peter D. T. A. 9 Guillera, Jesús 9 Kim, Chang Heon 9 Liu, Zhi-Guo 9 Tang, Dazhao 9 Wang, Liuquan 8 Chan, Heng Huat 8 Choie, YoungJu 8 Guo, Victor J. W. 8 Koo, Jakyung 8 Li, Jinjiang 8 Vignat, Christophe 8 Zaharescu, Alexandru 8 Zhedanov, Alexei S. 7 Chakraborty, Kalyan 7 de Azevedo Pribitkin, Wladimir 7 Lu, Guangshi 7 Mauduit, Christian 7 McIntosh, Richard J. 7 Ono, Ken 7 Pomerance, Carl Bernard 7 Takeyama, Yoshihiro 7 Tenenbaum, Gérald 7 Wei, Chuanan 7 Zhang, Min 6 Alkan, Emre 6 Ballantine, Cristina M. 6 Barman, Rupam 6 Chen, Chaoping 6 Dixit, Atul 6 Garvan, Frank G. 6 Gu, Nancy Shan Shan 6 Ismail, Mourad El-Houssieny 6 Kalita, Gautam 6 Kim, Byungchan 6 Maji, Bibekananda 6 Mao, Guo-Shuai 6 Mao, Renrong 6 Matsuda, Kazuhide 6 Nagaoka, Shoyu 6 Oh, Byeong-Kweon 6 O’Sullivan, Cormac 6 Srivastava, Hari Mohan 6 Suslov, Sergei K. 6 Vinet, Luc 6 Warnaar, S. Ole 6 Wu, Jie 6 Zhai, Wenguang 5 Alzer, Horst 5 Amdeberhan, Tewodros 5 Berkovich, Alexander 5 El Bachraoui, Mohamed 5 Folsom, Amanda L. 5 Gasper, George Jun 5 Glasser, M. Lawrence 5 Guerzhoy, Pavel I. 5 Gyarmati, Katalin 5 Han, Guo-Niu 5 He, Bing 5 James, Kevin 5 Kim, Myung-Hwan 5 Knopfmacher, Arnold 5 Knopp, Marvin Isadore 5 Kolitsch, Louis Worthy 5 Liu, Eric H. 5 Lu, Dawei 5 Mason, Geoffrey 5 Raji, Wissam 5 Schlosser, Michael J. 5 Shen, Lichien 5 Toh, Pee Choon 5 Tóth, László 5 Vasuki, Kaliyur Ranganna 5 Williams, Kenneth S. 5 Xue, Hui ...and 1,951 more Authors all top 5 Fields 1,691 Number theory (11-XX) 564 Special functions (33-XX) 497 Combinatorics (05-XX) 84 Functions of a complex variable (30-XX) 74 Algebraic geometry (14-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 54 Approximations and expansions (41-XX) 44 Real functions (26-XX) 41 Sequences, series, summability (40-XX) 40 Probability theory and stochastic processes (60-XX) 39 Group theory and generalizations (20-XX) 39 Difference and functional equations (39-XX) 29 Nonassociative rings and algebras (17-XX) 21 Ordinary differential equations (34-XX) 21 Integral transforms, operational calculus (44-XX) 17 Numerical analysis (65-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Topological groups, Lie groups (22-XX) 13 Field theory and polynomials (12-XX) 13 Commutative algebra (13-XX) 12 History and biography (01-XX) 9 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 9 Quantum theory (81-XX) 8 General and overarching topics; collections (00-XX) 8 Associative rings and algebras (16-XX) 8 Operator theory (47-XX) 7 Functional analysis (46-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Partial differential equations (35-XX) 5 Measure and integration (28-XX) 5 Manifolds and cell complexes (57-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Abstract harmonic analysis (43-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 \(K\)-theory (19-XX) 3 Geometry (51-XX) 2 Category theory; homological algebra (18-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,524 Publications have been cited 10,497 times in 7,072 Documents Cited by ▼ Year ▼ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane. Zbl 1152.30024 Chiang, Yik-Man; Feng, Shao-Ji 429 2008 Partition bijections, a survey. Zbl 1103.05009 Pak, Igor 78 2006 Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). Zbl 1128.16028 Ito, Tatsuro; Terwilliger, Paul 73 2007 Explicit estimates of some functions over primes. Zbl 1426.11088 Dusart, Pierre 73 2018 Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075 Guillera, Jesús; Sondow, Jonathan 69 2008 Divisibility of certain partition functions by powers of primes. Zbl 0907.11036 Gordon, Basil; Ono, Ken 66 1997 Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018 Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A. 59 2010 Log-concavity of the partition function. Zbl 1322.05018 DeSalvo, Stephen; Pak, Igor 59 2015 Relations between the ranks and cranks of partitions. Zbl 1039.11069 Atkin, A. O. L.; Garvan, F. G. 57 2003 Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058 Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming 54 2018 Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms. Zbl 1200.11065 Zhao, Jianqiang 51 2007 Arithmetic of the 13-regular partition function modulo 3. Zbl 1252.11086 Webb, John J. 49 2011 Identities for the harmonic numbers and binomial coefficients. Zbl 1234.11022 Sofo, Anthony; Srivastava, H. M. 49 2011 Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315 Milne, Stephen C. 49 2002 The Arakawa-Kaneko zeta function. Zbl 1230.11106 Coppo, Marc-Antoine; Candelpergher, Bernard 49 2010 Some systems of multivariable orthogonal \(q\)-Racah polynomials. Zbl 1121.33019 Gasper, George; Rahman, Mizan 46 2007 On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027 Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir 46 2003 Generators of some Ramanujan formulas. Zbl 1109.33029 Guillera, Jesús 45 2006 Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016 Hirschhorn, Michael D.; Sellers, James A. 45 2010 Congruences for \(\ell\)-regular partition functions modulo 3. Zbl 1252.11083 Furcy, David; Penniston, David 44 2012 Lecture hall partitions. Zbl 0909.05008 Bousquet-Mélou, Mireille; Eriksson, Kimmo 43 1997 On modular forms arising from a differential equation of hypergeometric type. Zbl 1050.11047 Kaneko, Masanobu; Koike, Masao 43 2003 Analogues of Ramanujan’s partition identities. Zbl 1281.11092 Xia, Ernest X. W.; Yao, Olivia X. M. 43 2013 Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002 Guillera, Jesús 42 2008 The evaluation of character Euler double sums. Zbl 1241.11108 Borwein, J. M.; Zucker, I. J.; Boersma, J. 42 2008 Some classes of completely monotonic functions. II. Zbl 1110.26015 Alzer, Horst; Berg, Christian 41 2006 On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011 Reiher, Christian 40 2007 Change of base in Bailey pairs. Zbl 0980.33013 Bressoud, D.; Ismail, M. E. H.; Stanton, D. 40 2000 Analogues of Ramanujan’s partition identities and congruences arising from his theta functions and modular equations. Zbl 1254.05023 Baruah, Nayandeep Deka; Ojah, Kanan Kumari 40 2012 The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009 Capparelli, S.; Lepowsky, J.; Milas, A. 39 2006 Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047 Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen 39 2019 Limits of elliptic hypergeometric integrals. Zbl 1178.33021 Rains, Eric M. 38 2009 Multiple zeta values at non-positive integers. Zbl 1002.11069 Akiyama, Shigeki; Tanigawa, Yoshio 37 2001 \(l\)-divisibility of \(l\)-regular partition functions. Zbl 1195.11140 Dandurand, Brian; Penniston, David 37 2009 On Borcherds products associated with lattices of prime discriminant. Zbl 1130.11317 Bruinier, Jan Hendrik; Bundschuh, Michael 36 2003 An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic). Zbl 1125.33015 Rosengren, Hjalmar 35 2007 An expansion formula for \(q\)-series and applications. Zbl 1044.05012 Liu, Zhi-Guo 35 2002 A \(q\)-series expansion formula and the Askey-Wilson polynomials. Zbl 1433.33011 Liu, Zhi-Guo 34 2013 Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040 de la Bretèche, Régis; Tenenbaum, Gérald 33 2005 Parity results for 9-regular partitions. Zbl 1308.11093 Xia, Ernest X. W.; Yao, Olivia X. M. 33 2014 Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064 Franc, Cameron; Mason, Geoffrey 33 2016 On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001 Espinosa, Olivier; Moll, Victor H. 33 2002 Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010 Yang, Zhen-Hang; Tian, Jingfeng 33 2019 Jagged partitions. Zbl 1079.05003 Fortin, J.-F.; Jacob, P.; Mathieu, P. 31 2005 Explicit evaluation of Euler and related sums. Zbl 1115.11052 Choi, Junesang; Srivastava, H. M. 31 2005 Ramanujan’s master theorem. Zbl 1258.33001 Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin 31 2012 Partial theta functions and mock modular forms as \(q\)-hypergeometric series. Zbl 1283.11077 Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C. 31 2012 An algorithmic approach to Ramanujan’s congruences. Zbl 1204.11165 Radu, Silviu 30 2009 Quintic and septic Eisenstein series. Zbl 1259.11046 Cooper, Shaun; Toh, Pee Choon 30 2009 The multiple gamma function and its application to computation of series. Zbl 1088.33014 Adamchik, V. S. 30 2005 A family of shifted harmonic sums. Zbl 1312.05014 Sofo, Anthony; Srivastava, H. M. 30 2015 Spin Leonard pairs. Zbl 1118.05101 Curtin, Brian 29 2007 New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \). Zbl 1226.11113 Rogers, Mathew D. 29 2009 On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333 Espinosa, Olivier; Moll, Victor H. 29 2002 Congruences for 9-regular partitions modulo 3. Zbl 1360.11105 Keith, William J. 29 2014 Ramanujan sums as supercharacters. Zbl 1368.11090 Fowler, Christopher F.; Garcia, Stephan Ramon; Karaali, Gizem 28 2014 Harmonic number identities via the Newton-Andrews method. Zbl 1306.05005 Wang, Weiping; Jia, Cangzhi 28 2014 Congruences modulo 9 and 27 for overpartitions. Zbl 1422.11214 Xia, Ernest X. W. 28 2017 Ramanujan-like series for \(\frac{1}{\pi}\) involving harmonic numbers. Zbl 1392.33010 Campbell, John M. 28 2018 Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043 Ramanujan, Srinivasa 27 1997 Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101 Alkan, Emre 27 2011 A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002 Amdeberhan, Tewodros; Moll, Victor H. 27 2009 Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1122.44002 Salem, N. Ben; Salem, A. Ould Ahmed 26 2006 On relations for the multiple \(q\)-zeta values. Zbl 1211.11099 Okuda, Jun-ichi; Takeyama, Yoshihiro 26 2007 Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series. Zbl 0934.33006 Schlosser, Michael 26 1997 The basic bilateral hypergeometric series and the mock theta functions. Zbl 1225.33019 Choi, Youn-Seo 26 2011 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005 Baruah, Nayandeep Deka; Berndt, Bruce C. 25 2010 Lecture hall partitions. II. Zbl 0909.05009 Bousquet-Mélou, Mireille; Eriksson, Kimmo 25 1997 Some arithmetic properties of short random walk integrals. Zbl 1233.60024 Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James 25 2011 Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008 Gordon, Basil; McIntosh, Richard J. 25 2003 A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Zbl 1276.11148 Candelpergher, Bernard; Coppo, Marc-Antoine 25 2012 Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1421.11083 Andrews, George E.; Passary, Donny; Sellers, James A.; Yee, Ae Ja 25 2017 Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020 Bauer, Mark; Bennett, Michael A. 25 2002 \(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 1468.11065 Guo, Victor J. W. 25 2019 Short proofs of the elliptic beta integrals. Zbl 1118.33008 Spiridonov, V. P. 24 2007 Parity in partition identities. Zbl 1226.11107 Andrews, George E. 24 2010 Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024 Paule, Peter; Radu, Silviu 24 2010 Study of the multiplicative autocorrelation of the fractional part function. (Étude de l’autocorrélation multiplicative de la fonction ‘partie fractionnaire’.) Zbl 1173.11343 Báez-Duarte, Luis; Balazard, Michel; Landreau, Bernard; Saias, Eric 24 2005 Infinite families of infinite families of congruences for \(k\)-regular partitions. Zbl 1300.11045 Carlson, Rowland; Webb, John J. 24 2014 A new fast asymptotic series for the gamma function. Zbl 1329.33003 Mortici, Cristinel 24 2015 Supercongruences for the Catalan-Larcombe-French numbers. Zbl 1218.11025 Jarvis, Frazer; Verrill, Helena A. 24 2010 The distribution of totients. Zbl 0914.11053 Ford, Kevin 23 1998 Joint universality for dependent \(L\)-functions. Zbl 1440.11165 Pańkowski, Łukasz 23 2018 \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039 Hikami, Kazuhiro 23 2006 Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010 Komatsu, Takao 23 2013 An extension of Vietoris’s inequalities. Zbl 1138.42002 Koumandos, Stamatis 22 2007 Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan’s Lost Notebook. Zbl 0930.11025 Kang, Soon-Yi 22 1999 On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086 Ivić, Aleksandar 22 2009 \(q\)-Selberg integrals and Macdonald polynomials. Zbl 1086.33018 Warnaar, S. Ole 22 2005 Updating the error term in the prime number theorem. Zbl 1398.11123 Trudgian, Tim 22 2016 Concave and convex compositions. Zbl 1325.05025 Andrews, George E. 22 2013 Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031 Cooper, Shaun 22 2012 Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107 Lovejoy, Jeremy 22 2012 On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075 Mortenson, Eric 22 2013 Complete \(p\)-elliptic integrals and a computation formula of \(\pi_p\) for \(p=4\). Zbl 1392.33014 Takeuchi, Shingo 22 2018 On the expansion of Ramanujan’s continued fraction. Zbl 0924.11005 Hirschhorn, Michael D. 21 1998 Partitions, quasimodular forms, and the Bloch-Okounkov theorem. Zbl 1352.05021 Zagier, Don 21 2016 The Bailey transform and false theta functions. Zbl 1116.33017 Andrews, George E.; Warnaar, S. Ole 20 2007 On the Ramanujan-Göllnitz-Gordon continued fraction. Zbl 0905.11008 Chan, Heng Huat; Huang, Sen-Shan 20 1997 On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001 Mortici, Cristinel 20 2011 Proofs of some partition identities conjectured by Kanade and Russell. Zbl 1523.11189 Rosengren, Hjalmar 9 2023 On the divisibility of \(q\)-trinomial coefficients. Zbl 1514.11006 Liu, Ji-Cai 5 2023 Sequences in overpartitions. Zbl 07695125 Andrews, George E.; Uncu, Ali K. 5 2023 Integer circulant determinants of order 16. Zbl 1522.15007 Yamaguchi, Yuka; Yamaguchi, Naoya 4 2023 On a Tauberian theorem of Ingham and Euler-Maclaurin summation. Zbl 07690250 Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl 4 2023 A proof of Mao’s conjecture on an identity of Beck’s partition statistics. Zbl 07743419 Mao, Renrong; Xia, Ernest X. W. 4 2023 Expansions over Legendre polynomials and infinite double series identities. Zbl 07659055 Chu, Wenchang; Campbell, John M. 2 2023 Results on vanishing coefficients in certain infinite \(q\)-series expansions. Zbl 1515.11046 Somashekara, D. D.; Thulasi, M. B. 2 2023 On a sum involving certain arithmetic functions and the integral part function. Zbl 1519.11052 Ma, Jing; Sun, Huayan 2 2023 Absolutely convergent \(q\)-Dunkl integrals and classical function spaces. Zbl 1512.33016 Saadi, Faouaz; Daher, Radouan 2 2023 Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism. Zbl 07690255 Terwilliger, Paul M. 2 2023 Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions. Zbl 1526.11059 Bringmann, Kathrin; Ono, Ken; Wagner, Ian 2 2023 Truncated Hecke-Rogers type series. II. Zbl 07695115 Wang, Chun; Yee, Ae Ja 2 2023 Additive decompositions of cubes in finite fields. Zbl 07760619 Wu, Hai-Liang; She, Yue-Feng 1 2023 The zeros of odd period polynomials for newforms on \(\Gamma_0 (2)\). Zbl 07760622 Choi, SoYoung 1 2023 Polynomization of the Liu-Zhang inequality for the overpartition function. Zbl 1525.05010 Li, Xixi 1 2023 Elementary proofs of infinite families of congruences for Merca’s cubic partitions. Zbl 07784971 da Silva, Robson; Sellers, James A. 1 2023 Fields of small class number in the family \(\mathbb{Q}(\sqrt{9m^2+4m})\). Zbl 1515.11109 Mahapatra, Nimish Kumar; Pandey, Prem Prakash; Ram, Mahesh Kumar 1 2023 Congruence relations satisfied by quaternionic modular forms. Zbl 07713331 Nagaoka, Shoyu 1 2023 Stieltjes constants appearing in the Laurent expansion of the hyperharmonic zeta function. Zbl 07713335 Can, Mümün; Dil, Ayhan; Kargın, Levent 1 2023 Crossed out modular equations of degree 11 of Ramanujan. Zbl 1523.11072 Vasuki, K. R.; Yathirajsharma, M. V. 1 2023 Fine Selmer groups and ideal class groups. Zbl 07720231 Kleine, Sören; Müller, Katharina 1 2023 New inequalities for \(p(n)\) and \(\log p(n)\). Zbl 1527.11076 Banerjee, Koustav; Paule, Peter; Radu, Cristian-Silviu; Zeng, WenHuan 1 2023 The tangent symmetry of the multiple zeta-function. Zbl 07739350 Sasaki, Yoshitaka 1 2023 Human and automated approaches for finite trigonometric sums. Zbl 07739353 Allouche, Jean-Paul; Zeilberger, Doron 1 2023 Hyperbolic summation for functions of the GCD and LCM of several integers. Zbl 1523.11001 Heyman, Randell; Tóth, László 1 2023 Semi-modular forms from Fibonacci-Eisenstein series. Zbl 1515.11039 Akande, A. P.; Schneider, Robert 1 2023 \(q\)-Pearson pair and moments in \(q\)-deformed ensembles. Zbl 1528.33023 Forrester, Peter J.; Li, Shi-Hao; Shen, Bo-Jian; Yu, Guo-Fu 1 2023 Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms. Zbl 1525.11129 Hatley, Jeffrey; Kundu, Debanjana; Lei, Antonio; Ray, Jishnu 1 2023 Ferrers graphs, D-permutations, and surjective staircases. Zbl 1508.52012 Lazar, Alexander 1 2023 Log-convexity and the overpartition function. Zbl 1509.05030 Mukherjee, Gargi 1 2023 On two double series for \(\pi\) and their \(q\)-analogues. Zbl 07663052 Wei, Chuanan 1 2023 Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities. Zbl 1509.05033 Zhang, Ying; Zhang, Wenlong; Zhang, Jingjing 1 2023 A new Ramanujan-type identity for \(L(2k+1, \chi_1)\). Zbl 1517.11104 Chourasiya, Shashi; Jamal, Md Kashif; Maji, Bibekananda 1 2023 Rational points on algebraic curves in infinite towers of number fields. Zbl 1523.11104 Ray, Anwesh 1 2023 Some \(q\)-supercongruences from Gasper’s Karlsson-Minton type summation. Zbl 1523.11003 Guo, Victor J. W. 1 2023 Spectral exponential sums on hyperbolic surfaces. Zbl 1520.11081 Kaneko, Ikuya 1 2023 The three missing terms in Ramanujan’s septic theta function identity. Zbl 1509.11031 Rebák, Örs 1 2023 Two generalizations of Jacobi’s triple product identity and their applications. Zbl 1519.11020 Wei, Chuanan; Yu, Yuanbo; Hu, Qiuxia 1 2023 The rational Heun operator and Wilson biorthogonal functions. Zbl 07690247 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 1 2023 Combinatorics of periodic ellipsoidal billiards. Zbl 1522.37040 Andrews, George E.; Dragović, Vladimir; Radnović, Milena 1 2023 Some tridiagonal determinants. Zbl 1520.15001 Johnson, Warren P. 1 2023 Combinatorics of orthogonal polynomials of type \(R_I\). Zbl 07695110 Kim, Jang Soo; Stanton, Dennis 1 2023 Orthogonal functions related to Lax pairs in Lie algebras. Zbl 07695114 Groenevelt, Wolter; Koelink, Erik 1 2023 On the infinite Borwein product raised to a positive real power. Zbl 07695117 Schlosser, Michael J.; Zhou, Nian Hong 1 2023 Utility of integral representations for basic hypergeometric functions and orthogonal polynomials. Zbl 07695122 Cohl, Howard S.; Costas-Santos, Roberto S. 1 2023 Moments of orthogonal polynomials and exponential generating functions. Zbl 07695123 Gessel, Ira M.; Zeng, Jiang 1 2023 Schmidt-type theorems via weighted partition identities. Zbl 07695124 Alladi, Krishnaswami 1 2023 Turán inequalities for the broken \(k\)-diamond partition functions. Zbl 07743417 Dong, Janet J. W.; Ji, Kathy Q.; Jia, Dennis X. Q. 1 2023 Goldbach-Linnik type problems on cubes of primes. Zbl 1498.11203 Zhao, Xiaodong 8 2022 Improving bounds on prime counting functions by partial verification of the Riemann hypothesis. Zbl 1512.11099 Johnston, Daniel R. 7 2022 Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127 Chern, Shane 7 2022 An exact formula for a Lambert series associated to a cusp form and the Möbius function. Zbl 1496.11113 Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha 7 2022 On the total number of parts functions associated with ranks of partitions modulo 5 and 7. Zbl 1502.11105 Mao, Renrong 6 2022 Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. Zbl 1497.11278 Garcia, Stephan Ramon; Lee, Ethan Simpson 6 2022 Linear inequalities concerning partitions into distinct parts. Zbl 1497.05012 Merca, Mircea 5 2022 A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. Zbl 1520.33003 Cantarini, Marco 5 2022 Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme. Zbl 1522.11003 Liu, Yudong; Wang, Xiaoxia 5 2022 Trigonometric sums through Ramanujan’s theory of theta functions. Zbl 1483.11168 Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V. 5 2022 Positivity and divisibility of enumerators of alternating descents. Zbl 1486.05007 Lin, Zhicong; Ma, Shi-Mei; Wang, David G. L.; Wang, Liuquan 4 2022 Proof of two conjectures of Guo and Schlosser. Zbl 1518.11005 Yu, Menglin; Wang, Xiaoxia 4 2022 Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\). Zbl 1501.33007 Daher, Radouan; Tyr, Othman 4 2022 Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values. 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W. 46 Bringmann, Kathrin 44 Terwilliger, Paul M. 42 Sofo, Anthony 41 Merca, Mircea 40 Xu, Hongyan 40 Yao, Olivia Xiang Mei 38 Andrews, George Eyre 37 Chu, Wenchang 36 Luca, Florian 35 Chen, Zongxuan 35 Saikia, Nipen 34 Moll, Victor Hugo 34 Xu, Ce 33 Srivastava, Hari Mohan 32 Baruah, Nayandeep Deka 32 Mahadeva Naika, Megadahalli Sidda 31 Alzer, Horst 31 Barman, Rupam 31 Chen, Chaoping 31 Chern, Shane 31 Tang, Dazhao 31 Zudilin, Wadim 30 Campbell, John Maxwell 30 Kim, Byungchan 30 Lovejoy, Jeremy 30 Vinet, Luc 30 Yang, Zhenhang 29 Komatsu, Takao 29 Wang, Miaokun 28 Liu, Kai 28 Ono, Ken 28 Schlosser, Michael J. 27 Chen, William Yong-Chuan 27 Cooper, Shaun 27 Sellers, James Allen 27 Spiridonov, Vyacheslav Pavlovich 26 Choi, Junesang 26 Lin, Bernard L. S. 26 Wang, Liuquan 26 Warnaar, S. Ole 26 Zhao, Tiehong 25 Dixit, Atul 25 Yee, Ae Ja 23 Laurinčikas, Antanas 23 Tian, Jingfeng 22 Mansour, Toufik 22 Zeng, Jiang 21 Ballantine, Cristina M. 21 Berndt, Bruce Carl 21 Borwein, Jonathan Michael 21 Gu, Nancy Shan Shan 21 Han, Guo-Niu 21 Ito, Masahiko 21 Wang, Xiaoxia 20 Osburn, Robert 20 Vignat, Christophe 20 Zhedanov, Alexei S. 19 Alkan, Emre 19 Banerjee, Abhijit 19 Berkovich, Alexander 19 Chan, Heng Huat 19 Jennings-Shaffer, Chris 19 Rolen, Larry 19 Shparlinski, Igor E. 19 Wei, Chuanan 19 Zaharescu, Alexandru 18 Garvan, Frank G. 18 Heim, Bernhard Ernst 18 Koo, Jakyung 18 Liu, Zhi-Guo 18 Maji, Bibekananda 18 Simsek, Yilmaz 18 Williams, Brandon 18 Yang, Lianzhong 18 Ye, Dongxi 17 Cui, Su-Ping 17 Guillera, Jesús 17 Kim, Chang Heon 17 Kohnen, Winfried 17 Neuhauser, Markus 17 Nomura, Kazumasa 17 Straub, Armin 17 Tenenbaum, Gérald 16 Cao, Jian 16 Ismail, Mourad El-Houssieny 16 Korhonen, Risto 16 Li, Sheng 16 Li, Xiaomin 16 Mao, Renrong 16 Mc Laughlin, James G. 16 Sills, Andrew V. 16 Sun, Zhi-Wei 16 Toh, Pee Choon 16 Vasuki, Kaliyur Ranganna 16 Wakayama, Masato 16 Yi, Hongxun 16 Zhang, Jilong ...and 5,257 more Authors all top 5 Cited in 522 Journals 853 The Ramanujan Journal 414 Journal of Number Theory 286 International Journal of Number Theory 229 Journal of Mathematical Analysis and Applications 135 Proceedings of the American Mathematical Society 117 Advances in Mathematics 112 Research in Number Theory 100 Advances in Difference Equations 94 Journal of Combinatorial Theory. 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