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The Ramanujan Journal

An 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: 2,115 Publications (since 1997)
References Indexed: 1,894 Publications with 34,290 References.
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Latest Issues

63, No. 4 (2024)
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)
...and 88 more Volumes
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Authors

31 Hirschhorn, Michael D.
22 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 Tang, Dazhao
10 Zeng, Jiang
9 Bringmann, Kathrin
9 Elliott, Peter D. T. A.
9 Guillera, Jesús
9 Guo, Victor J. W.
9 Kim, Chang Heon
9 Liu, Zhi-Guo
9 Wang, Liuquan
8 Chan, Heng Huat
8 Choie, YoungJu
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 El Bachraoui, Mohamed
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 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 Mortenson, Eric T.
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.
...and 1,968 more Authors
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Fields

1,706 Number theory (11-XX)
565 Special functions (33-XX)
503 Combinatorics (05-XX)
84 Functions of a complex variable (30-XX)
75 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)
14 Commutative algebra (13-XX)
13 Field theory and polynomials (12-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 Global analysis, analysis on manifolds (58-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)

Publications by Year

Citations contained in zbMATH Open

1,539 Publications have been cited 10,734 times in 7,215 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
436
2008
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
81
2006
Explicit estimates of some functions over primes. Zbl 1426.11088
Dusart, Pierre
74
2018
Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). Zbl 1128.16028
Ito, Tatsuro; Terwilliger, Paul
73
2007
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
67
1997
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
61
2015
Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058
Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming
59
2018
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
59
2010
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
58
2003
Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms. Zbl 1200.11065
Zhao, Jianqiang
52
2007
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C.
50
2002
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
The Arakawa-Kaneko zeta function. Zbl 1230.11106
Coppo, Marc-Antoine; Candelpergher, Bernard
49
2010
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
47
2006
Some systems of multivariable orthogonal \(q\)-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
47
2007
Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016
Hirschhorn, Michael D.; Sellers, James A.
46
2010
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
46
2003
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
45
2008
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
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
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
41
2012
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
41
2000
Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen
40
2019
On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011
Reiher, Christian
40
2007
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
39
2006
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
Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010
Yang, Zhen-Hang; Tian, Jingfeng
35
2019
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
Jagged partitions. Zbl 1079.05003
Fortin, J.-F.; Jacob, P.; Mathieu, P.
34
2005
Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
34
2005
A \(q\)-series expansion formula and the Askey-Wilson polynomials. Zbl 1433.33011
Liu, Zhi-Guo
34
2013
On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001
Espinosa, Olivier; Moll, Victor H.
33
2002
Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064
Franc, Cameron; Mason, Geoffrey
33
2016
Ramanujan’s master theorem. Zbl 1258.33001
Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin
33
2012
Parity results for 9-regular partitions. Zbl 1308.11093
Xia, Ernest X. W.; Yao, Olivia X. M.
33
2014
Partial theta functions and mock modular forms as \(q\)-hypergeometric series. Zbl 1283.11077
Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C.
32
2012
The multiple gamma function and its application to computation of series. Zbl 1088.33014
Adamchik, V. S.
31
2005
Explicit evaluation of Euler and related sums. Zbl 1115.11052
Choi, Junesang; Srivastava, H. M.
31
2005
New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \). Zbl 1226.11113
Rogers, Mathew D.
31
2009
An algorithmic approach to Ramanujan’s congruences. Zbl 1204.11165
Radu, Silviu
31
2009
A family of shifted harmonic sums. Zbl 1312.05014
Sofo, Anthony; Srivastava, H. M.
30
2015
Congruences for 9-regular partitions modulo 3. Zbl 1360.11105
Keith, William J.
30
2014
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
30
2009
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
29
2007
On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333
Espinosa, Olivier; Moll, Victor H.
29
2002
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
A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002
Amdeberhan, Tewodros; Moll, Victor H.
28
2009
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
\(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 1468.11065
Guo, Victor J. W.
26
2019
Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1122.44002
Salem, N. Ben; Salem, A. Ould Ahmed
26
2006
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
On relations for the multiple \(q\)-zeta values. Zbl 1211.11099
Okuda, Jun-ichi; Takeyama, Yoshihiro
26
2007
Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
25
2010
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
25
2002
Lecture hall partitions. II. Zbl 0909.05009
Bousquet-Mélou, Mireille; Eriksson, Kimmo
25
1997
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
25
2003
Joint universality for dependent \(L\)-functions. Zbl 1440.11165
Pańkowski, Łukasz
25
2018
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
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
25
2011
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
Short proofs of the elliptic beta integrals. Zbl 1118.33008
Spiridonov, V. P.
24
2007
The distribution of totients. Zbl 0914.11053
Ford, Kevin
24
1998
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
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
\(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039
Hikami, Kazuhiro
23
2006
On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086
Ivić, Aleksandar
23
2009
Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010
Komatsu, Takao
23
2013
Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031
Cooper, Shaun
23
2012
Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107
Lovejoy, Jeremy
23
2012
An extension of Vietoris’s inequalities. Zbl 1138.42002
Koumandos, Stamatis
22
2007
On the Ramanujan-Göllnitz-Gordon continued fraction. Zbl 0905.11008
Chan, Heng Huat; Huang, Sen-Shan
22
1997
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
Updating the error term in the prime number theorem. Zbl 1398.11123
Trudgian, Tim
22
2016
\(q\)-Selberg integrals and Macdonald polynomials. Zbl 1086.33018
Warnaar, S. Ole
22
2005
On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075
Mortenson, Eric
22
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
22
2013
On supercongruences for truncated sums of squares of basic hypergeometric series. Zbl 1473.11002
El Bachraoui, Mohamed
22
2021
Complete \(p\)-elliptic integrals and a computation formula of \(\pi_p\) for \(p=4\). Zbl 1392.33014
Takeuchi, Shingo
22
2018
Analysis of some new partition statistics. Zbl 1113.05012
Grabner, Peter J.; Knopfmacher, Arnold
21
2006
On the expansion of Ramanujan’s continued fraction. Zbl 0924.11005
Hirschhorn, Michael D.
21
1998
Geometric properties of some Lommel and Struve functions. Zbl 1361.30021
Baricz, Árpád; Yağmur, Nihat
21
2017
On the Northcott property of Dedekind zeta functions. Zbl 07823304
Généreux, Xavier; Lalín, Matilde
1
2024
Proofs of some partition identities conjectured by Kanade and Russell. Zbl 1523.11189
Rosengren, Hjalmar
9
2023
On a Tauberian theorem of Ingham and Euler-Maclaurin summation. Zbl 07690250
Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl
5
2023
Sequences in overpartitions. Zbl 07695125
Andrews, George E.; Uncu, Ali K.
5
2023
On the divisibility of \(q\)-trinomial coefficients. Zbl 1514.11006
Liu, Ji-Cai
5
2023
A proof of Mao’s conjecture on an identity of Beck’s partition statistics. Zbl 07743419
Mao, Renrong; Xia, Ernest X. W.
5
2023
Integer circulant determinants of order 16. Zbl 1522.15007
Yamaguchi, Yuka; Yamaguchi, Naoya
4
2023
Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism. Zbl 07690255
Terwilliger, Paul M.
3
2023
Results on vanishing coefficients in certain infinite \(q\)-series expansions. Zbl 1515.11046
Somashekara, D. D.; Thulasi, M. B.
3
2023
On two double series for \(\pi\) and their \(q\)-analogues. Zbl 07663052
Wei, Chuanan
2
2023
Some \(q\)-supercongruences from Gasper’s Karlsson-Minton type summation. Zbl 1523.11003
Guo, Victor J. W.
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
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
Expansions over Legendre polynomials and infinite double series identities. Zbl 07659055
Chu, Wenchang; Campbell, John M.
2
2023
Turán inequalities for the broken \(k\)-diamond partition functions. Zbl 07743417
Dong, Janet J. W.; Ji, Kathy Q.; Jia, Dennis X. Q.
2
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
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
An expansion of \((q, \lambda)\)-derivative operator. Zbl 1511.05022
Yang, Dunkun
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
A new approach to the Dyson rank conjectures. Zbl 1525.11120
Garvan, F. G.
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
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
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
On the largest sizes of \((s, qs \pm 1)\)-core partitions with parts of the same parity. Zbl 1529.11104
Ma, Wu-Xia; Jiang, Xing-Wang
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
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
Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127
Chern, Shane
9
2022
Goldbach-Linnik type problems on cubes of primes. Zbl 1498.11203
Zhao, Xiaodong
8
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
7
2022
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis. Zbl 1512.11099
Johnston, Daniel R.
7
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
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
Euler products of Selberg zeta functions in the critical strip. Zbl 1512.11066
Kaneko, Ikuya; Koyama, Shin-ya
4
2022
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values. Zbl 1498.11173
Chavan, Parth; Chavan, Sarth; Vignat, Christophe; Wakhare, Tanay
4
2022
Self-conjugate \((s,s+d,\dots ,s+pd)\)-core partitions and free Motzkin paths. Zbl 1485.05007
Cho, Hyunsoo; Huh, JiSun
4
2022
On primes and practical numbers. Zbl 1505.11121
Pomerance, Carl; Weingartner, Andreas
4
2022
Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions. Zbl 1502.11050
Liu, Zhi-Guo; Zhou, Nian Hong
4
2022
Certain transformations and special values of hypergeometric functions over finite fields. Zbl 1490.33002
Barman, Rupam; Tripathi, Mohit
4
2022
Vanishing coefficients and identities concerning Ramanujan’s parameters. Zbl 1492.11090
Chern, Shane; Tang, Dazhao
4
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
Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7. Zbl 1510.11068
Kaur, Mandeep; Vandna
4
2022
Properties of the Appell-Lerch function (I). Zbl 1503.33015
Bradley-Thrush, J. G.
3
2022
An efficient determination of the coefficients in the Chudnovskys’ series for \(1/ \pi \). Zbl 1489.11061
Milla, Lorenz
3
2022
Simultaneous indivisibility of class numbers of pairs of real quadratic fields. Zbl 1502.11109
Chattopadhyay, Jaitra; Saikia, Anupam
3
2022
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry. Zbl 1496.11097
Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron
3
2022
Atkin-Lehner theory for Drinfeld modular forms and applications. Zbl 1504.11065
Valentino, Maria
3
2022
A further look at cubic partitions. Zbl 1504.11108
Merca, Mircea
3
2022
\(m\)-dissections of some infinite products and related identities. Zbl 1506.05030
Mc Laughlin, James
3
2022
On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. Zbl 1502.11044
Amir, Malik; Hong, Letong
3
2022
Averages of coefficients of a class of degree 3 \(L\)-functions. Zbl 1497.11203
Huang, Bingrong; Lin, Yongxiao; Wang, Zhiwei
2
2022
Voronoi summation formula for Gaussian integers. Zbl 1497.11196
Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel
2
2022
On small sets of integers. Zbl 1484.11028
Leonetti, Paolo; Tringali, Salvatore
2
2022
A lower bound for the variance of generalized divisor functions in arithmetic progressions. Zbl 1489.11155
Mastrostefano, Daniele
2
2022
Another generalization of Euler’s arithmetic function and Menon’s identity. Zbl 1486.11008
Tóth, László
2
2022
Ranks, cranks for overpartitions and Appell-Lerch sums. Zbl 1490.11100
Bian, Min; Fang, Houqing; Huang, Xiao Qian; Yao, Olivia X. M.
2
2022
A formula for the number of partitions of \(n\) in terms of the partial Bell polynomials. Zbl 1483.05008
Jha, Sumit Kumar
2
2022
\(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001
Beukers, Frits; Forsgård, Jens
2
2022
\({\mathbb{Q}}\)-linear dependence of certain Bessel moments. Zbl 1516.33005
Zhou, Yajun
2
2022
Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves. Zbl 1496.11107
Sayed, Fahim; Kalita, Gautam
2
2022
Congruences for the coefficients of the Gordon and McIntosh mock theta function \(\xi (q)\). Zbl 1499.11200
da Silva, Robson; Sellers, James A.
2
2022
Hecke-Rogers type series representations for infinite products. Zbl 1516.33014
Zhang, Ying; Zhang, Wenlong
2
2022
Almost 3-regular overpartitions. Zbl 1497.11251
Ballantine, Cristina; Merca, Mircea
2
2022
The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. Zbl 1496.11126
Hajdu, L.; Papp, Á.; Tijdeman, R.
2
2022
The sum of divisors function and the Riemann hypothesis. Zbl 1497.11243
Nicolas, Jean-Louis
2
2022
Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind. Zbl 1522.42055
Castillo, K.; Mbouna, D.; Petronilho, J.
2
2022
A ternary Diophantine inequality by primes with one of the form \(p= x^2 +y^2 +1\). Zbl 1497.11088
Dimitrov, Stoyan
2
2022
Divisibility of certain \(\ell\)-regular partitions by 2. Zbl 1498.05032
Singh, Ajit; Barman, Rupam
2
2022
...and 1344 more Documents
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Cited by 5,444 Authors

68 Chu, Yuming
58 Guo, Victor J. W.
58 Xia, Ernest X. W.
47 Bringmann, Kathrin
44 Terwilliger, Paul M.
42 Sofo, Anthony
41 Merca, Mircea
41 Yao, Olivia Xiang Mei
40 Chu, Wenchang
40 Xu, Hongyan
38 Andrews, George Eyre
37 Luca, Florian
36 Chen, Zongxuan
35 Saikia, Nipen
35 Tang, Dazhao
34 Moll, Victor Hugo
34 Xu, Ce
33 Mahadeva Naika, Megadahalli Sidda
33 Srivastava, Hari Mohan
32 Baruah, Nayandeep Deka
31 Alzer, Horst
31 Barman, Rupam
31 Campbell, John Maxwell
31 Chen, Chaoping
31 Chern, Shane
31 Vinet, Luc
31 Wang, Miaokun
31 Zudilin, Wadim
30 Kim, Byungchan
30 Komatsu, Takao
30 Lovejoy, Jeremy
30 Yang, Zhenhang
28 Liu, Kai
28 Ono, Ken
28 Schlosser, Michael J.
28 Sellers, James Allen
27 Chen, William Yong-Chuan
27 Choi, Junesang
27 Cooper, Shaun
27 Spiridonov, Vyacheslav Pavlovich
26 Lin, Bernard L. S.
26 Wang, Liuquan
26 Warnaar, S. Ole
26 Zhao, Tiehong
25 Dixit, Atul
25 Yee, Ae Ja
24 Laurinčikas, Antanas
24 Tian, Jingfeng
22 Borwein, Jonathan Michael
22 Mansour, Toufik
22 Zeng, Jiang
21 Ballantine, Cristina M.
21 Berndt, Bruce Carl
21 Gu, Nancy Shan Shan
21 Han, Guo-Niu
21 Ito, Masahiko
21 Koo, Jakyung
21 Wang, Xiaoxia
21 Zhedanov, Alexei S.
20 Osburn, Robert
20 Shparlinski, Igor E.
20 Sun, Zhi-Wei
20 Vignat, Christophe
19 Alkan, Emre
19 Banerjee, Abhijit
19 Berkovich, Alexander
19 Chan, Heng Huat
19 Heim, Bernhard Ernst
19 Jennings-Shaffer, Chris
19 Kim, Chang Heon
19 Rolen, Larry
19 Straub, Armin
19 Wei, Chuanan
19 Zaharescu, Alexandru
18 Garvan, Frank G.
18 Liu, Zhi-Guo
18 Maji, Bibekananda
18 Neuhauser, Markus
18 Simsek, Yilmaz
18 Tenenbaum, Gérald
18 Williams, Brandon
18 Yang, Lianzhong
18 Ye, Dongxi
17 Cao, Jian
17 Cui, Su-Ping
17 Guillera, Jesús
17 Kohnen, Winfried
17 Nomura, Kazumasa
16 Geroldinger, Alfred
16 Ismail, Mourad El-Houssieny
16 Ji, Kathy Qing
16 Kalita, Gautam
16 Korhonen, Risto
16 Li, Sheng
16 Li, Xiaomin
16 Mao, Guo-Shuai
16 Mao, Renrong
16 Mc Laughlin, James G.
16 Pollack, Paul
16 Sills, Andrew V.
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Cited in 528 Journals

860 The Ramanujan Journal
421 Journal of Number Theory
294 International Journal of Number Theory
234 Journal of Mathematical Analysis and Applications
136 Proceedings of the American Mathematical Society
118 Advances in Mathematics
115 Research in Number Theory
101 Advances in Difference Equations
95 Journal of Combinatorial Theory. Series A
92 Advances in Applied Mathematics
90 Discrete Mathematics
85 Integers
84 Integral Transforms and Special Functions
81 Bulletin of the Australian Mathematical Society
77 Results in Mathematics
72 Annals of Combinatorics
70 Acta Arithmetica
70 Journal of High Energy Physics
67 Journal of Inequalities and Applications
67 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
62 Transactions of the American Mathematical Society
59 Functiones et Approximatio. Commentarii Mathematici
58 Rocky Mountain Journal of Mathematics
56 Mathematics of Computation
56 Journal of Difference Equations and Applications
54 Applied Mathematics and Computation
54 Linear Algebra and its Applications
51 Journal de Théorie des Nombres de Bordeaux
49 Mediterranean Journal of Mathematics
46 Monatshefte für Mathematik
46 Research in the Mathematical Sciences
44 The Electronic Journal of Combinatorics
42 Mathematische Zeitschrift
42 European Journal of Combinatorics
42 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
41 Open Mathematics
38 Journal of Algebra
38 Journal of Approximation Theory
36 Indian Journal of Pure & Applied Mathematics
35 Journal of Mathematical Physics
34 Archiv der Mathematik
33 Nuclear Physics. B
33 Acta Mathematica Hungarica
33 Forum Mathematicum
32 Indagationes Mathematicae. New Series
31 Letters in Mathematical Physics
31 Abstract and Applied Analysis
30 Journal of Integer Sequences
29 Mathematical Proceedings of the Cambridge Philosophical Society
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Computational Methods and Function Theory
28 Communications in Mathematical Physics
28 Journal of the Ramanujan Mathematical Society
28 Acta Mathematica Sinica. English Series
27 Mathematische Annalen
27 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
27 Journal of Mathematical Inequalities
26 Periodica Mathematica Hungarica
26 Journal of Symbolic Computation
26 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
25 Journal of Computational and Applied Mathematics
25 Mathematika
25 Journal of Physics A: Mathematical and Theoretical
24 Turkish Journal of Mathematics
23 Bulletin of the Korean Mathematical Society
23 Journal of the Australian Mathematical Society
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20 AIMS Mathematics
19 Analysis Mathematica
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19 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
19 Finite Fields and their Applications
19 Boletín de la Sociedad Matemática Mexicana. Third Series
19 Applicable Analysis and Discrete Mathematics
19 Journal of Function Spaces
18 Journal of the London Mathematical Society. Second Series
18 Journal of Pure and Applied Algebra
17 Manuscripta Mathematica
17 Acta Mathematica Scientia. Series B. (English Edition)
17 Algebra & Number Theory
16 Journal für die Reine und Angewandte Mathematik
16 Mathematica Slovaca
16 Constructive Approximation
16 Journal of Mathematical Sciences (New York)
15 Israel Journal of Mathematics
15 Proceedings of the Japan Academy. Series A
15 Expositiones Mathematicae
15 Experimental Mathematics
15 Filomat
15 Science China. Mathematics
15 Journal of Mathematics
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Cited in 60 Fields

4,752 Number theory (11-XX)
1,804 Special functions (33-XX)
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680 Functions of a complex variable (30-XX)
395 Difference and functional equations (39-XX)
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223 Nonassociative rings and algebras (17-XX)
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