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: 2,050 Publications (since 1997) References Indexed: 1,829 Publications with 33,120 References. all top 5 Latest Issues 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) 31, No. 1-2 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) ...and 83 more Volumes all top 5 Authors 31 Hirschhorn, Michael D. 20 Xia, Ernest X. W. 19 Andrews, George Eyre 15 Chu, Wenchang 15 Merca, Mircea 15 Sárközy, András 14 Chern, Shane 14 Lin, Bernard L. S. 13 Baruah, Nayandeep Deka 13 Berndt, Bruce Carl 13 Kohnen, Winfried 13 Sellers, James Allen 13 Yao, Olivia Xiang Mei 12 Alladi, Krishnaswami 12 Nicolas, Jean-Louis 12 Zhou, Yajun 11 Moll, Victor Hugo 11 Yee, Ae Ja 10 Borwein, Jonathan Michael 10 Chen, William Yong-Chuan 10 Cooper, Shaun 10 Luca, Florian 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 Vignat, Christophe 8 Zhedanov, Alexei S. 7 Chakraborty, Kalyan 7 de Azevedo Pribitkin, Wladimir 7 Li, Jinjiang 7 Lu, Guangshi 7 Mauduit, Christian 7 McIntosh, Richard J. 7 Ono, Ken 7 Pomerance, Carl Bernard 7 Tenenbaum, Gérald 7 Wei, Chuanan 7 Zaharescu, Alexandru 6 Alkan, Emre 6 Ballantine, Cristina M. 6 Barman, Rupam 6 Chen, Chaoping 6 Cui, Su-Ping 6 Dixit, Atul 6 Garvan, Frank G. 6 Gu, Nancy Shan Shan 6 Ismail, Mourad El-Houssieny 6 Kalita, Gautam 6 Mao, Guo-Shuai 6 Mao, Renrong 6 Matsuda, Kazuhide 6 Oh, Byeong-Kweon 6 O’Sullivan, Cormac 6 Srivastava, Hari Mohan 6 Suslov, Sergei K. 6 Takeyama, Yoshihiro 6 Vinet, Luc 6 Warnaar, S. Ole 6 Wu, Jie 6 Zhai, Wenguang 6 Zhang, Min 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, Byungchan 5 Kim, Myung-Hwan 5 Knopfmacher, Arnold 5 Knopp, Marvin Isadore 5 Kolitsch, Louis Worthy 5 Lu, Dawei 5 Maji, Bibekananda 5 Mason, Geoffrey 5 Nagaoka, Shoyu 5 Raji, Wissam 5 Schlosser, Michael J. 5 Shen, Lichien 5 Toh, Pee Choon 5 Tóth, László 5 Vasuki, Kaliyur Ranganna 5 Zhang, Wenlong 5 Zhou, Nian Hong ...and 1,906 more Authors all top 5 Fields 1,639 Number theory (11-XX) 560 Special functions (33-XX) 483 Combinatorics (05-XX) 84 Functions of a complex variable (30-XX) 71 Algebraic geometry (14-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 53 Approximations and expansions (41-XX) 42 Real functions (26-XX) 40 Sequences, series, summability (40-XX) 40 Probability theory and stochastic processes (60-XX) 37 Group theory and generalizations (20-XX) 36 Difference and functional equations (39-XX) 29 Nonassociative rings and algebras (17-XX) 20 Ordinary differential equations (34-XX) 19 Integral transforms, operational calculus (44-XX) 18 Numerical analysis (65-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Topological groups, Lie groups (22-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Commutative algebra (13-XX) 12 History and biography (01-XX) 9 Field theory and polynomials (12-XX) 9 Operator theory (47-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 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 Abstract harmonic analysis (43-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Order, lattices, ordered algebraic structures (06-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 1,450 Publications have been cited 9,726 times in 6,615 Documents Cited by ▼ Year ▼ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane. Zbl 1152.30024Chiang, Yik-Man; Feng, Shao-Ji 406 2008 Partition bijections, a survey. Zbl 1103.05009Pak, Igor 74 2006 Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). Zbl 1128.16028Ito, Tatsuro; Terwilliger, Paul 71 2007 Explicit estimates of some functions over primes. Zbl 1426.11088Dusart, Pierre 68 2018 Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075Guillera, Jesús; Sondow, Jonathan 65 2008 Divisibility of certain partition functions by powers of primes. Zbl 0907.11036Gordon, Basil; Ono, Ken 64 1997 Relations between the ranks and cranks of partitions. Zbl 1039.11069Atkin, A. O. L.; Garvan, F. G. 57 2003 Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A. 55 2010 Log-concavity of the partition function. Zbl 1322.05018DeSalvo, Stephen; Pak, Igor 53 2015 Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming 50 2018 Identities for the harmonic numbers and binomial coefficients. Zbl 1234.11022Sofo, Anthony; Srivastava, H. M. 49 2011 The Arakawa-Kaneko zeta function. Zbl 1230.11106Coppo, Marc-Antoine; Candelpergher, Bernard 48 2010 Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315Milne, Stephen C. 48 2002 Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms. Zbl 1200.11065Zhao, Jianqiang 48 2007 Some systems of multivariable orthogonal \(q\)-Racah polynomials. Zbl 1121.33019Gasper, George; Rahman, Mizan 45 2007 Arithmetic of the 13-regular partition function modulo 3. Zbl 1252.11086Webb, John J. 45 2011 Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016Hirschhorn, Michael D.; Sellers, James A. 44 2010 On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir 44 2003 Generators of some Ramanujan formulas. Zbl 1109.33029Guillera, Jesús 43 2006 Analogues of Ramanujan’s partition identities. Zbl 1281.11092Xia, Ernest X. W.; Yao, Olivia X. M. 42 2013 Lecture hall partitions. Zbl 0909.05008Bousquet-Mélou, Mireille; Eriksson, Kimmo 42 1997 The evaluation of character Euler double sums. Zbl 1241.11108Borwein, J. M.; Zucker, I. J.; Boersma, J. 42 2008 Congruences for \(\ell\)-regular partition functions modulo 3. Zbl 1252.11083Furcy, David; Penniston, David 40 2012 On modular forms arising from a differential equation of hypergeometric type. Zbl 1050.11047Kaneko, Masanobu; Koike, Masao 40 2003 On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011Reiher, Christian 40 2007 Some classes of completely monotonic functions. II. Zbl 1110.26015Alzer, Horst; Berg, Christian 40 2006 Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen 38 2019 Analogues of Ramanujan’s partition identities and congruences arising from his theta functions and modular equations. Zbl 1254.05023Baruah, Nayandeep Deka; Ojah, Kanan Kumari 38 2012 Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002Guillera, Jesús 38 2008 Change of base in Bailey pairs. Zbl 0980.33013Bressoud, D.; Ismail, M. E. H.; Stanton, D. 38 2000 The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009Capparelli, S.; Lepowsky, J.; Milas, A. 37 2006 Limits of elliptic hypergeometric integrals. Zbl 1178.33021Rains, Eric M. 36 2009 On Borcherds products associated with lattices of prime discriminant. Zbl 1130.11317Bruinier, Jan Hendrik; Bundschuh, Michael 35 2003 An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic). Zbl 1125.33015Rosengren, Hjalmar 35 2007 \(l\)-divisibility of \(l\)-regular partition functions. Zbl 1195.11140Dandurand, Brian; Penniston, David 35 2009 Multiple zeta values at non-positive integers. Zbl 1002.11069Akiyama, Shigeki; Tanigawa, Yoshio 34 2001 On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001Espinosa, Olivier; Moll, Victor H. 32 2002 Parity results for 9-regular partitions. Zbl 1308.11093Xia, Ernest X. W.; Yao, Olivia X. M. 32 2014 Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040de la Bretèche, Régis; Tenenbaum, Gérald 31 2005 Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064Franc, Cameron; Mason, Geoffrey 31 2016 An expansion formula for \(q\)-series and applications. Zbl 1044.05012Liu, Zhi-Guo 30 2002 Jagged partitions. Zbl 1079.05003Fortin, J.-F.; Jacob, P.; Mathieu, P. 30 2005 Explicit evaluation of Euler and related sums. Zbl 1115.11052Choi, Junesang; Srivastava, H. M. 30 2005 Quintic and septic Eisenstein series. Zbl 1259.11046Cooper, Shaun; Toh, Pee Choon 30 2009 Ramanujan’s master theorem. Zbl 1258.33001Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin 29 2012 Partial theta functions and mock modular forms as \(q\)-hypergeometric series. Zbl 1283.11077Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C. 29 2012 The multiple gamma function and its application to computation of series. Zbl 1088.33014Adamchik, V. S. 29 2005 On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333Espinosa, Olivier; Moll, Victor H. 29 2002 New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \). Zbl 1226.11113Rogers, Mathew D. 29 2009 A family of shifted harmonic sums. Zbl 1312.05014Sofo, Anthony; Srivastava, H. M. 28 2015 Spin Leonard pairs. Zbl 1118.05101Curtin, Brian 28 2007 An algorithmic approach to Ramanujan’s congruences. Zbl 1204.11165Radu, Silviu 28 2009 Congruences for 9-regular partitions modulo 3. Zbl 1360.11105Keith, William J. 27 2014 Harmonic number identities via the Newton-Andrews method. Zbl 1306.05005Wang, Weiping; Jia, Cangzhi 27 2014 Congruences modulo 9 and 27 for overpartitions. Zbl 1422.11214Xia, Ernest X. W. 27 2017 A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002Amdeberhan, Tewodros; Moll, Victor H. 27 2009 Ramanujan sums as supercharacters. Zbl 1368.11090Fowler, Christopher F.; Garcia, Stephan Ramon; Karaali, Gizem 26 2014 Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1122.44002Salem, N. Ben; Salem, A. Ould Ahmed 26 2006 Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101Alkan, Emre 25 2011 Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series. Zbl 0934.33006Schlosser, Michael 25 1997 Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043Ramanujan, Srinivasa 25 1997 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005Baruah, Nayandeep Deka; Berndt, Bruce C. 25 2010 Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010Yang, Zhen-Hang; Tian, Jingfeng 24 2019 Some arithmetic properties of short random walk integrals. Zbl 1233.60024Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James 24 2011 Supercongruences for the Catalan-Larcombe-French numbers. Zbl 1218.11025Jarvis, Frazer; Verrill, Helena A. 24 2010 A \(q\)-series expansion formula and the Askey-Wilson polynomials. Zbl 1433.33011Liu, Zhi-Guo 24 2013 Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1421.11083Andrews, George E.; Passary, Donny; Sellers, James A.; Yee, Ae Ja 24 2017 Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008Gordon, Basil; McIntosh, Richard J. 24 2003 Lecture hall partitions. II. Zbl 0909.05009Bousquet-Mélou, Mireille; Eriksson, Kimmo 24 1997 On relations for the multiple \(q\)-zeta values. Zbl 1211.11099Okuda, Jun-ichi; Takeyama, Yoshihiro 24 2007 Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020Bauer, Mark; Bennett, Michael A. 24 2002 A new fast asymptotic series for the gamma function. Zbl 1329.33003Mortici, Cristinel 24 2015 The basic bilateral hypergeometric series and the mock theta functions. Zbl 1225.33019Choi, Youn-Seo 24 2011 Short proofs of the elliptic beta integrals. Zbl 1118.33008Spiridonov, V. P. 23 2007 \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039Hikami, Kazuhiro 23 2006 Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024Paule, Peter; Radu, Silviu 23 2010 Joint universality for dependent \(L\)-functions. Zbl 1440.11165Pańkowski, Łukasz 22 2018 Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107Lovejoy, Jeremy 22 2012 A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Zbl 1276.11148Candelpergher, Bernard; Coppo, Marc-Antoine 22 2012 The distribution of totients. Zbl 0914.11053Ford, Kevin 22 1998 An extension of Vietoris’s inequalities. Zbl 1138.42002Koumandos, Stamatis 22 2007 Study of the multiplicative autocorrelation of the fractional part function. (Étude de l’autocorrélation multiplicative de la fonction ‘partie fractionnaire’.) Zbl 1173.11343Báez-Duarte, Luis; Balazard, Michel; Landreau, Bernard; Saias, Eric 22 2005 \(q\)-Selberg integrals and Macdonald polynomials. Zbl 1086.33018Warnaar, S. Ole 22 2005 Parity in partition identities. Zbl 1226.11107Andrews, George E. 22 2010 Infinite families of infinite families of congruences for \(k\)-regular partitions. Zbl 1300.11045Carlson, Rowland; Webb, John J. 22 2014 Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031Cooper, Shaun 21 2012 \(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 1468.11065Guo, Victor J. W. 21 2019 Ramanujan-like series for \(\frac{1}{\pi}\) involving harmonic numbers. Zbl 1392.33010Campbell, John M. 21 2018 Concave and convex compositions. Zbl 1325.05025Andrews, George E. 21 2013 On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086Ivić, Aleksandar 21 2009 On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001Mortici, Cristinel 20 2011 Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010Komatsu, Takao 20 2013 On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075Mortenson, Eric 20 2013 On the expansion of Ramanujan’s continued fraction. Zbl 0924.11005Hirschhorn, Michael D. 20 1998 Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan’s Lost Notebook. Zbl 0930.11025Kang, Soon-Yi 20 1999 Updating the error term in the prime number theorem. Zbl 1398.11123Trudgian, Tim 20 2016 Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003Mortici, Cristinel 20 2011 Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012Andrews, George E.; Garvan, Frank G.; Liang, Jie 19 2012 Complete \(p\)-elliptic integrals and a computation formula of \(\pi_p\) for \(p=4\). Zbl 1392.33014Takeuchi, Shingo 19 2018 On Ramanujan’s function \(k(q)=r(q)r^{2}(q^{2})\). Zbl 1239.11051Cooper, Shaun 19 2009 Proofs of some partition identities conjectured by Kanade and Russell. Zbl 07690260Rosengren, Hjalmar 6 2023 Sequences in overpartitions. Zbl 07695125Andrews, George E.; Uncu, Ali K. 4 2023 On a Tauberian theorem of Ingham and Euler-Maclaurin summation. Zbl 07690250Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl 2 2023 Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism. Zbl 07690255Terwilliger, Paul M. 2 2023 New inequalities for \(p(n)\) and \(\log p(n)\). Zbl 07720234Banerjee, Koustav; Paule, Peter; Radu, Cristian-Silviu; Zeng, WenHuan 1 2023 A proof of Mao’s conjecture on an identity of Beck’s partition statistics. Zbl 07743419Mao, Renrong; Xia, Ernest X. W. 1 2023 Ferrers graphs, D-permutations, and surjective staircases. Zbl 1508.52012Lazar, Alexander 1 2023 On the divisibility of \(q\)-trinomial coefficients. Zbl 1514.11006Liu, Ji-Cai 1 2023 A new Ramanujan-type identity for \(L(2k+1, \chi_1)\). Zbl 1517.11104Chourasiya, Shashi; Jamal, Md Kashif; Maji, Bibekananda 1 2023 Rational points on algebraic curves in infinite towers of number fields. Zbl 07663061Ray, Anwesh 1 2023 Spectral exponential sums on hyperbolic surfaces. Zbl 1520.11081Kaneko, Ikuya 1 2023 The three missing terms in Ramanujan’s septic theta function identity. Zbl 1509.11031Rebák, Örs 1 2023 Two generalizations of Jacobi’s triple product identity and their applications. Zbl 1519.11020Wei, Chuanan; Yu, Yuanbo; Hu, Qiuxia 1 2023 Combinatorics of periodic ellipsoidal billiards. Zbl 07690253Andrews, George E.; Dragović, Vladimir; Radnović, Milena 1 2023 Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions. Zbl 07690259Bringmann, Kathrin; Ono, Ken; Wagner, Ian 1 2023 Fields of small class number in the family \(\mathbb{Q}(\sqrt{9m^2+4m})\). Zbl 1515.11109Mahapatra, Nimish Kumar; Pandey, Prem Prakash; Ram, Mahesh Kumar 1 2023 \(q\)-Pearson pair and moments in \(q\)-deformed ensembles. Zbl 07643081Forrester, Peter J.; Li, Shi-Hao; Shen, Bo-Jian; Yu, Guo-Fu 1 2023 Combinatorics of orthogonal polynomials of type \(R_I\). Zbl 07695110Kim, Jang Soo; Stanton, Dennis 1 2023 Moments of orthogonal polynomials and exponential generating functions. Zbl 07695123Gessel, Ira M.; Zeng, Jiang 1 2023 Schmidt-type theorems via weighted partition identities. Zbl 07695124Alladi, Krishnaswami 1 2023 Improving bounds on prime counting functions by partial verification of the Riemann hypothesis. Zbl 1512.11099Johnston, Daniel R. 6 2022 An exact formula for a Lambert series associated to a cusp form and the Möbius function. Zbl 1496.11113Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha 6 2022 Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. Zbl 1497.11278Garcia, Stephan Ramon; Lee, Ethan Simpson 6 2022 Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127Chern, Shane 5 2022 Goldbach-Linnik type problems on cubes of primes. Zbl 1498.11203Zhao, Xiaodong 5 2022 Linear inequalities concerning partitions into distinct parts. Zbl 1497.05012Merca, Mircea 4 2022 Euler products of Selberg zeta functions in the critical strip. Zbl 1512.11066Kaneko, Ikuya; Koyama, Shin-ya 4 2022 Trigonometric sums through Ramanujan’s theory of theta functions. Zbl 1483.11168Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V. 4 2022 Positivity and divisibility of enumerators of alternating descents. Zbl 1486.05007Lin, Zhicong; Ma, Shi-Mei; Wang, David G. L.; Wang, Liuquan 3 2022 Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry. Zbl 1496.11097Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron 3 2022 Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme. Zbl 07603212Liu, Yudong; Wang, Xiaoxia 3 2022 An efficient determination of the coefficients in the Chudnovskys’ series for \(1/ \pi \). Zbl 1489.11061Milla, Lorenz 3 2022 Self-conjugate \((s,s+d,\dots ,s+pd)\)-core partitions and free Motzkin paths. Zbl 1485.05007Cho, Hyunsoo; Huh, JiSun 3 2022 On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. Zbl 1502.11044Amir, Malik; Hong, Letong 3 2022 On the total number of parts functions associated with ranks of partitions modulo 5 and 7. Zbl 1502.11105Mao, Renrong 3 2022 Proof of two conjectures of Guo and Schlosser. Zbl 1518.11005Yu, Menglin; Wang, Xiaoxia 2 2022 Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7. Zbl 1510.11068Kaur, Mandeep; Vandna 2 2022 \(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001Beukers, Frits; Forsgård, Jens 2 2022 Simultaneous indivisibility of class numbers of pairs of real quadratic fields. Zbl 1502.11109Chattopadhyay, Jaitra; Saikia, Anupam 2 2022 Atkin-Lehner theory for Drinfeld modular forms and applications. Zbl 1504.11065Valentino, Maria 2 2022 On the convolutions of sums of multiple zeta(-star) values of height one. Zbl 1498.11185Chen, Kwang Wu; Eie, Minking 2 2022 Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values. Zbl 1498.11173Chavan, Parth; Chavan, Sarth; Vignat, Christophe; Wakhare, Tanay 2 2022 \(m\)-dissections of some infinite products and related identities. Zbl 1506.05030Mc Laughlin, James 2 2022 A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. Zbl 1520.33003Cantarini, Marco 2 2022 Divisibility of certain \(\ell\)-regular partitions by 2. Zbl 1498.05032Singh, Ajit; Barman, Rupam 2 2022 A formula for the number of partitions of \(n\) in terms of the partial Bell polynomials. Zbl 1483.05008Jha, Sumit Kumar 2 2022 On primes and practical numbers. Zbl 1505.11121Pomerance, Carl; Weingartner, Andreas 2 2022 Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions. Zbl 1502.11050Liu, Zhi-Guo; Zhou, Nian Hong 2 2022 Certain transformations and special values of hypergeometric functions over finite fields. Zbl 1490.33002Barman, Rupam; Tripathi, Mohit 2 2022 Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions. Zbl 1510.11027Biswas, Arindam; Saha, Jyoti Prakash 2 2022 The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. Zbl 1496.11126Hajdu, L.; Papp, Á.; Tijdeman, R. 2 2022 Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind. Zbl 07557860Castillo, K.; Mbouna, D.; Petronilho, J. 2 2022 Averages of coefficients of a class of degree 3 \(L\)-functions. Zbl 1497.11203Huang, Bingrong; Lin, Yongxiao; Wang, Zhiwei 2 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 1501.33007Daher, Radouan; Tyr, Othman 2 2022 Voronoi summation formula for Gaussian integers. Zbl 1497.11196Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel 2 2022 Bounds for the generalized Marcum function of the second kind. Zbl 1509.33023Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony 1 2022 On a divisor of the central binomial coefficient. 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W. 48 Chu, Wenchang 44 Bringmann, Kathrin 42 Terwilliger, Paul M. 41 Sofo, Anthony 40 Xu, Hongyan 39 Merca, Mircea 37 Yao, Olivia Xiang Mei 36 Andrews, George Eyre 35 Chen, Zongxuan 34 Luca, Florian 34 Moll, Victor Hugo 32 Mahadeva Naika, Megadahalli Sidda 32 Srivastava, Hari Mohan 31 Chen, Chaoping 31 Chern, Shane 31 Xu, Ce 30 Alzer, Horst 30 Barman, Rupam 30 Baruah, Nayandeep Deka 30 Lovejoy, Jeremy 30 Yang, Zhenhang 30 Zudilin, Wadim 29 Kim, Byungchan 29 Saikia, Nipen 28 Liu, Kai 28 Vinet, Luc 27 Chen, William Yong-Chuan 27 Cooper, Shaun 27 Ono, Ken 27 Tang, Dazhao 26 Choi, Junesang 26 Schlosser, Michael J. 26 Spiridonov, Vyacheslav Pavlovich 26 Wang, Liuquan 26 Warnaar, S. Ole 25 Campbell, John Maxwell 25 Sellers, James Allen 24 Dixit, Atul 24 Komatsu, Takao 23 Lin, Bernard L. 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Series A 14 Expositiones Mathematicae 14 The Journal of Analysis 14 Séminaire Lotharingien de Combinatoire ...and 400 more Journals all top 5 Cited in 60 Fields 4,337 Number theory (11-XX) 1,652 Special functions (33-XX) 1,555 Combinatorics (05-XX) 622 Functions of a complex variable (30-XX) 358 Difference and functional equations (39-XX) 284 Real functions (26-XX) 227 Algebraic geometry (14-XX) 223 Quantum theory (81-XX) 216 Nonassociative rings and algebras (17-XX) 207 Harmonic analysis on Euclidean spaces (42-XX) 172 Group theory and generalizations (20-XX) 165 Approximations and expansions (41-XX) 157 Ordinary differential equations (34-XX) 140 Linear and multilinear algebra; matrix theory (15-XX) 123 Probability theory and stochastic processes (60-XX) 116 Numerical analysis (65-XX) 111 Sequences, series, summability (40-XX) 72 Associative rings and algebras (16-XX) 72 Dynamical systems and ergodic theory (37-XX) 71 Computer science (68-XX) 67 Integral transforms, operational calculus (44-XX) 65 Commutative algebra (13-XX) 65 Several complex variables and analytic spaces (32-XX) 64 Topological groups, Lie groups (22-XX) 60 Manifolds and cell complexes (57-XX) 55 Partial differential equations (35-XX) 55 Statistical mechanics, structure of matter (82-XX) 54 Operator theory (47-XX) 48 Field theory and polynomials (12-XX) 42 Convex and discrete geometry (52-XX) 37 Functional analysis (46-XX) 37 Information and communication theory, circuits (94-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Abstract harmonic analysis (43-XX) 27 Relativity and gravitational theory (83-XX) 22 Differential geometry (53-XX) 20 History and biography (01-XX) 20 Measure and integration (28-XX) 20 Statistics (62-XX) 19 Geometry (51-XX) 12 Mathematical logic and foundations (03-XX) 11 General and overarching topics; collections (00-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Category theory; homological algebra (18-XX) 10 Integral equations (45-XX) 9 Potential theory (31-XX) 8 \(K\)-theory (19-XX) 8 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic topology (55-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year