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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: http://link.springer.com/journal/volumesAndIssues/11139
Comments: Indexed cover-to-cover
Documents Indexed: 1,634 Publications (since 1997)
References Indexed: 1,413 Publications with 24,643 References.
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Latest Issues

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)
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49, No. 3 (2019)
49, No. 2 (2019)
49, No. 1 (2019)
48, No. 3 (2019)
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48, No. 1 (2019)
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35, No. 1 (2014)
34, No. 3 (2014)
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33, No. 3 (2014)
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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)
29, No. 1-3 (2012)
28, No. 3 (2012)
28, No. 2 (2012)
28, No. 1 (2012)
27, No. 3 (2012)
27, No. 2 (2012)
27, No. 1 (2012)
26, No. 3 (2011)
26, No. 2 (2011)
26, No. 1 (2011)
25, No. 3 (2011)
25, No. 2 (2011)
25, No. 1 (2011)
24, No. 3 (2011)
24, No. 2 (2011)
24, No. 1 (2011)
23, No. 1-3 (2010)
22, No. 3 (2010)
22, No. 2 (2010)
22, No. 1 (2010)
21, No. 3 (2010)
21, No. 2 (2010)
21, No. 1 (2010)
20, No. 3 (2009)
20, No. 2 (2009)
20, No. 1 (2009)
...and 57 more Volumes
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Authors

31 Hirschhorn, Michael D.
17 Andrews, George Eyre
17 Xia, Ernest X. W.
15 Sárközy, András
13 Berndt, Bruce Carl
13 Chu, Wenchang
13 Kohnen, Winfried
11 Baruah, Nayandeep Deka
11 Chern, Shane
11 Lin, Bernard L. S.
11 Merca, Mircea
11 Moll, Victor Hugo
11 Zhou, Yajun
10 Alladi, Krishnaswami
10 Borwein, Jonathan Michael
10 Cooper, Shaun
10 Sellers, James Allen
10 Yao, Olivia Xiang Mei
10 Yee, Ae Ja
9 Chen, William Yong-Chuan
9 Guillera, Jesús
9 Liu, Zhi-Guo
9 Mc Laughlin, James G.
9 Nicolas, Jean-Louis
9 Zeng, Jiang
8 Choie, YoungJu
8 Elliott, Peter D. T. A.
8 Koo, Jakyung
8 Luca, Florian
7 Bringmann, Kathrin
7 Chan, Heng Huat
7 Kim, Chang Heon
7 Mauduit, Christian
7 McIntosh, Richard J.
7 Tenenbaum, Gérald
7 Vignat, Christophe
7 Zaharescu, Alexandru
6 Alkan, Emre
6 Chen, Chaoping
6 Dixit, Atul
6 Gu, Nancy Shan Shan
6 Lu, Guangshi
6 Ono, Ken
6 Pomerance, Carl Bernard
6 Suslov, Sergei K.
6 Tang, Dazhao
6 Warnaar, S. Ole
6 Zhedanov, Alexei S.
5 Amdeberhan, Tewodros
5 Berkovich, Alexander
5 Cui, Su-Ping
5 Guerzhoy, Pavel I.
5 Guo, Victor J. W.
5 Gyarmati, Katalin
5 Han, Guo-Niu
5 He, Bing
5 Kim, Byungchan
5 Kim, Myung-Hwan
5 Knopp, Marvin Isadore
5 Lu, Dawei
5 Mao, Guo-Shuai
5 Mason, Geoffrey
5 Matsuda, Kazuhide
5 O’Sullivan, Cormac
5 Shen, Lichien
5 Srivastava, Hari Mohan
5 Takeyama, Yoshihiro
5 Vinet, Luc
5 Wang, Liuquan
5 Wei, Chuanan
5 Wu, Jie
4 Ballantine, Cristina M.
4 Banks, William D.
4 Barman, Rupam
4 Basu, Ankur
4 Borwein, David
4 Bouzeffour, Fethi
4 Brown, Jim L.
4 Cai, Yingchun
4 Chan, Song Heng
4 de Azevedo Pribitkin, Wladimir
4 Dilcher, Karl
4 Dou, Donna Quan Jie
4 El Bachraoui, Mohamed
4 Elsner, Carsten
4 Espinosa, Olivier
4 Feĭgin, Boris L’vovich
4 Folsom, Amanda
4 Garvan, Frank G.
4 Gasper, George Jun
4 Granville, Andrew James
4 Griffin, James C.
4 Hegyvári, Norbert
4 Huber, Tim
4 Ismail, Mourad El-Houssieny
4 Ito, Masahiko
4 Ivić, Aleksandar P.
4 James, Kevin
4 Jimbo, Michio
4 Jouhet, Frédéric
...and 1,511 more Authors
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Fields

1,289 Number theory (11-XX)
458 Special functions (33-XX)
387 Combinatorics (05-XX)
64 Functions of a complex variable (30-XX)
60 Algebraic geometry (14-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
46 Approximations and expansions (41-XX)
38 Sequences, series, summability (40-XX)
31 Real functions (26-XX)
31 Probability theory and stochastic processes (60-XX)
30 Difference and functional equations (39-XX)
26 Nonassociative rings and algebras (17-XX)
26 Group theory and generalizations (20-XX)
16 Ordinary differential equations (34-XX)
16 Numerical analysis (65-XX)
14 Integral transforms, operational calculus (44-XX)
12 Topological groups, Lie groups (22-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 History and biography (01-XX)
11 Commutative algebra (13-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 General and overarching topics; collections (00-XX)
7 Associative rings and algebras (16-XX)
7 Convex and discrete geometry (52-XX)
7 Quantum theory (81-XX)
6 Partial differential equations (35-XX)
6 Computer science (68-XX)
5 Field theory and polynomials (12-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Functional analysis (46-XX)
5 Manifolds and cell complexes (57-XX)
4 Abstract harmonic analysis (43-XX)
4 Operator theory (47-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 \(K\)-theory (19-XX)
3 Geometry (51-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Measure and integration (28-XX)
2 Optics, electromagnetic theory (78-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

1,144 Publications have been cited 6,898 times in 4,792 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
290
2008
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
64
2006
Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). Zbl 1128.16028
Ito, Tatsuro; Terwilliger, Paul
57
2007
Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075
Guillera, Jesús; Sondow, Jonathan
54
2008
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
52
1997
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
46
2003
The Arakawa-Kaneko zeta function. Zbl 1230.11106
Coppo, Marc-Antoine; Candelpergher, Bernard
45
2010
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
45
2010
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C.
43
2002
Explicit estimates of some functions over primes. Zbl 1426.11088
Dusart, Pierre
41
2018
Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms. Zbl 1200.11065
Zhao, Jianqiang
41
2007
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
39
2008
Some systems of multivariable orthogonal \(q\)-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
38
2007
Lecture hall partitions. Zbl 0909.05008
Bousquet-Mélou, Mireille; Eriksson, Kimmo
37
1997
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
37
2003
Identities for the harmonic numbers and binomial coefficients. Zbl 1234.11022
Sofo, Anthony; Srivastava, H. M.
36
2011
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
35
2006
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
34
2006
On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011
Reiher, Christian
34
2007
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
33
2015
Analogues of Ramanujan’s partition identities. Zbl 1281.11092
Xia, Ernest X. W.; Yao, Olivia X. M.
33
2013
Congruences for \(\ell\)-regular partition functions modulo 3. Zbl 1252.11083
Furcy, David; Penniston, David
33
2012
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
33
2006
Arithmetic of the 13-regular partition function modulo 3. Zbl 1252.11086
Webb, John J.
33
2011
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
32
2012
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
32
2000
On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001
Espinosa, Olivier; Moll, Victor H.
30
2002
On Borcherds products associated with lattices of prime discriminant. Zbl 1130.11317
Bruinier, Jan Hendrik; Bundschuh, Michael
30
2003
On modular forms arising from a differential equation of hypergeometric type. Zbl 1050.11047
Kaneko, Masanobu; Koike, Masao
30
2003
An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic). Zbl 1125.33015
Rosengren, Hjalmar
30
2007
Multiple zeta values at non-positive integers. Zbl 1002.11069
Akiyama, Shigeki; Tanigawa, Yoshio
29
2001
On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333
Espinosa, Olivier; Moll, Victor H.
29
2002
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
29
2008
The multiple gamma function and its application to computation of series. Zbl 1088.33014
Adamchik, V. S.
28
2005
\(l\)-divisibility of \(l\)-regular partition functions. Zbl 1195.11140
Dandurand, Brian; Penniston, David
28
2009
Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016
Hirschhorn, Michael D.; Sellers, James A.
28
2010
Explicit evaluation of Euler and related sums. Zbl 1115.11052
Choi, Junesang; Srivastava, H. M.
26
2005
Limits of elliptic hypergeometric integrals. Zbl 1178.33021
Rains, Eric M.
26
2009
Parity results for 9-regular partitions. Zbl 1308.11093
Xia, Ernest X. W.; Yao, Olivia X. M.
25
2014
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
25
2007
Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
25
2005
Jagged partitions. Zbl 1079.05003
Fortin, J.-F.; Jacob, P.; Mathieu, P.
24
2005
New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \). Zbl 1226.11113
Rogers, Mathew D.
24
2009
Supercongruences for the Catalan-Larcombe-French numbers. Zbl 1218.11025
Jarvis, Frazer; Verrill, Helena A.
23
2010
Congruences modulo 9 and 27 for overpartitions. Zbl 1422.11214
Xia, Ernest X. W.
23
2017
A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002
Amdeberhan, Tewodros; Moll, Victor H.
23
2009
Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058
Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming
22
2018
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
22
2015
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
22
2002
On relations for the multiple \(q\)-zeta values. Zbl 1211.11099
Okuda, Jun-ichi; Takeyama, Yoshihiro
22
2007
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
22
2009
Ramanujan’s master theorem. Zbl 1258.33001
Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin
21
2012
Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series. Zbl 0934.33006
Schlosser, Michael
21
1997
Lecture hall partitions. II. Zbl 0909.05009
Bousquet-Mélou, Mireille; Eriksson, Kimmo
21
1997
Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
21
2011
Ramanujan sums as supercharacters. Zbl 1368.11090
Fowler, Christopher F.; Garcia, Stephan Ramon; Karaali, Gizem
21
2014
Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064
Franc, Cameron; Mason, Geoffrey
21
2016
Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
21
2010
Partial theta functions and mock modular forms as \(q\)-hypergeometric series. Zbl 1283.11077
Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C.
20
2012
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
20
2011
Harmonic number identities via the Newton-Andrews method. Zbl 1306.05005
Wang, Weiping; Jia, Cangzhi
20
2014
An expansion formula for \(q\)-series and applications. Zbl 1044.05012
Liu, Zhi-Guo
20
2002
Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024
Paule, Peter; Radu, Silviu
20
2010
An extension of Vietoris’s inequalities. Zbl 1138.42002
Koumandos, Stamatis
20
2007
Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1122.44002
Salem, N. Ben; Salem, A. Ould Ahmed
20
2006
On the Ramanujan-Göllnitz-Gordon continued fraction. Zbl 0905.11008
Chan, Heng Huat; Huang, Sen-Shan
19
1997
Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010
Komatsu, Takao
19
2013
Congruences for 9-regular partitions modulo 3. Zbl 1360.11105
Keith, William J.
19
2014
\(q\)-Selberg integrals and Macdonald polynomials. Zbl 1086.33018
Warnaar, S. Ole
19
2005
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
19
2010
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
19
2011
On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086
Ivić, Aleksandar
19
2009
Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043
Ramanujan, Srinivasa
18
1997
A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Zbl 1276.11148
Candelpergher, Bernard; Coppo, Marc-Antoine
18
2012
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
18
2013
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
18
2011
Short proofs of the elliptic beta integrals. Zbl 1118.33008
Spiridonov, V. P.
18
2007
\(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039
Hikami, Kazuhiro
17
2006
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
17
2012
Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107
Lovejoy, Jeremy
17
2012
Sums and products from a finite set of real numbers. Zbl 0908.11008
Ford, Kevin
17
1998
Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen
17
2019
Sums involving the Hurwitz zeta function. Zbl 0989.11043
Kanemitsu, Shigeru; Kumagai, Hiroshi; Yoshimoto, Masami
17
2001
On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075
Coons, Michael
17
2013
The basic bilateral hypergeometric series and the mock theta functions. Zbl 1225.33019
Choi, Youn-Seo
17
2011
Sums of products of Apostol-Bernoulli numbers. Zbl 1250.11026
Kim, Min-Soo; Hu, Su
17
2012
Askey-Wilson type functions with bound states. Zbl 1100.33004
Haine, Luc; Iliev, Plamen
16
2006
The distribution of totients. Zbl 0914.11053
Ford, Kevin
16
1998
Arithmetic properties of bipartitions with even parts distinct. Zbl 1298.05033
Lin, Bernard L. S.
16
2014
Unit circle elliptic beta integrals. Zbl 1160.33309
van Diejen, J. F.; Spiridonov, V. P.
16
2005
A class of series acceleration formulae for Catalan’s constant. Zbl 0946.11032
Bradley, David M.
16
1999
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
16
2003
Sums of five, seven and nine squares. Zbl 1050.11044
Cooper, Shaun
16
2002
Askey-Wilson type integrals associated with root systems. Zbl 1114.33026
Ito, Masahiko
16
2006
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
16
2005
Sporadic sequences, modular forms and new series for \(1/\pi\). Zbl 1336.11031
Cooper, Shaun
15
2012
Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan’s Lost Notebook. Zbl 0930.11025
Kang, Soon-Yi
15
1999
On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075
Mortenson, Eric
15
2013
Some new proofs of modular relations for the Göllnitz-Gordon functions. Zbl 1181.11024
Baruah, Nayandeep Deka; Bora, Jonali; Saikia, Nipen
15
2008
The Bailey transform and false theta functions. Zbl 1116.33017
Andrews, George E.; Warnaar, S. Ole
15
2007
An analog of the Dougall formula and of the de Branges-Wilson integral. Zbl 1467.33009
Neretin, Yury A.
3
2021
Coefficient estimates for a certain family of analytic functions involving a \(q\)-derivative operator. Zbl 1462.30039
Raza, Mohsan; Srivastava, Hari Mohan; Arif, Muhammad; Ahmad, Khurshid
1
2021
Asymptotics of Nahm sums at roots of unity. Zbl 07344932
Garoufalidis, Stavros; Zagier, Don
1
2021
The 5-dissections of two infinite product expansions. Zbl 1466.33012
Dou, Donna Q. J.; Xiao, Jiejuan
1
2021
On the zeros of certain composite polynomials and an operator preserving inequalities. Zbl 1462.30013
Rather, N. A.; Dar, Ishfaq; Gulzar, Suhail
1
2021
On Siegel invariants of certain CM-fields. Zbl 07344955
Koo, Ja Kyung; Robert, Gilles; Shin, Dong Hwa; Yoon, Dong Sung
1
2021
Asymptotic equidistribution and convexity for partition ranks. Zbl 07344962
Males, Joshua
1
2021
Explicit congruences modulo 2048 for overpartitions. Zbl 07345298
Xue, Fanggang; Yao, Olivia X. M.
1
2021
Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation. Zbl 1467.33005
Deleaval, L.; Demni, N.
1
2021
\(q\)-analogues of three Ramanujan-type formulas for \(1/\pi\). Zbl 07189548
Guo, Victor J. W.
10
2020
The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Zbl 1444.39007
Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei
6
2020
\(q\)-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
5
2020
Factorization theorems for generalized Lambert series and applications. Zbl 1458.11008
Merca, Mircea; Schmidt, Maxie D.
3
2020
Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. Zbl 1436.81070
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei
3
2020
Partition implications of a three-parameter \(q\)-series identity. Zbl 1445.11114
Dixit, Atul; Maji, Bibekananda
3
2020
A general method for proving the non-trivial linear homogeneous partition inequalities. Zbl 1434.05014
Merca, Mircea; Katriel, Jacob
2
2020
On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight. Zbl 1439.11123
Žunar, Sonja
2
2020
Universal sums of generalized pentagonal numbers. Zbl 1458.11061
Ju, Jangwon
2
2020
Multiple zeta values for classical special functions. Zbl 1439.11224
Wakhare, Tanay; Vignat, Christophe
2
2020
The Taylor coefficients of the Jacobi theta constant \(\theta_3\). Zbl 1460.11053
Romik, Dan
2
2020
A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019
Guillera, Jesús
2
2020
Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers. Zbl 1439.05023
Ballantine, Cristina; Merca, Mircea
2
2020
Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients. Zbl 1444.33005
Wang, Xiaoyuan; Chu, Wenchang
2
2020
Several \(q\)-series related to Ramanujan’s theta functions. Zbl 1467.33013
Tang, Dazhao; Xia, Ernest. X. W.
2
2020
Linear independence of harmonic numbers over the field of algebraic numbers. Zbl 1441.11180
Chatterjee, Tapas; Dhillon, Sonika
1
2020
Cubic partitions modulo powers of 5. Zbl 1450.11109
Hirschhorn, Michael D.
1
2020
Diophantine approximation with one prime, two squares of primes and powers of two. Zbl 1452.11035
Liu, Huafeng
1
2020
Proofs of some conjectures of Chan on Appell-Lerch sums. Zbl 1450.11107
Baruah, Nayandeep Deka; Begum, Nilufar Mana
1
2020
Modular equations for congruence subgroups of genus zero. Zbl 1458.11067
Cho, Bumkyu
1
2020
Diophantine inequality by unlike powers of primes. Zbl 07176796
Zhu, Li
1
2020
Nonvanishing of derivatives of Hecke \(L\)-functions associated to cusp forms inside the critical strip. Zbl 07176797
Kohnen, Winfried; Sengupta, Jyoti; Weigel, Miriam
1
2020
\(M_2\)-ranks of overpartitions modulo 6 and 10. Zbl 1440.11192
Zhang, Helen W. J.
1
2020
Petersson scalar products and \(L\)-functions arising from modular forms. Zbl 07189543
Tsuyumine, Shigeaki
1
2020
Derivations on the algebra of multiple harmonic \(q\)-series and their applications. Zbl 1437.05026
Takeyama, Yoshihiro
1
2020
Quadratic ideals and Rogers-Ramanujan recursions. Zbl 07189545
Bai, Yuzhe; Gorsky, Eugene; Kivinen, Oscar
1
2020
Theta operator on Hermitian modular forms over the Eisenstein field. Zbl 1460.11061
Nagaoka, Shoyu; Takemori, Sho
1
2020
On a Diophantine inequality involving prime numbers. Zbl 1444.11051
Li, Sanhua; Cai, Yingchun
1
2020
Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts. Zbl 1445.11117
Jennings-Shaffer, Chris; Reihill, Dillon
1
2020
Extended arithmetic functions. Zbl 1444.11011
Bouzeffour, Fethi; Jedidi, Wissem; Garayev, Mubariz
1
2020
Some properties and applications of non-trivial divisor functions. Zbl 1453.11005
Hill, S. L.; Huxley, M. N.; Lettington, M. C.; Schmidt, K. M.
1
2020
Extension of results of Kostant and Han. Zbl 1442.05018
Heim, Bernhard; Neuhauser, Markus
1
2020
When is the Bloch-Okounkov \(q\)-bracket modular? Zbl 1443.05014
van Ittersum, Jan-Willem M.
1
2020
Identities of cycle integrals of weak Maass forms. Zbl 1456.11049
Alfes-Neumann, Claudia; Schwagenscheidt, Markus
1
2020
Proofs of some conjectures of Chan and Wang on congruences for \((q;q)_\infty^{\frac{a}{b}}\). Zbl 07345236
Xia, Ernest X. W.; Zhu, Haiyang
1
2020
Note on a theorem of Farkas and Kra. Zbl 07345239
Matsuda, Kazuhide
1
2020
Fourier expansions at cusps. Zbl 07345243
Brunault, François; Neururer, Michael
1
2020
Some results on vanishing coefficients in infinite product expansions. Zbl 07345286
Baruah, Nayandeep Deka; Kaur, Mandeep
1
2020
Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen
17
2019
\(q\)-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 07096579
Guo, Victor J. W.
12
2019
Fourier coefficients of powers of the Dedekind eta function. Zbl 1460.11049
Heim, Bernhard; Neuhauser, Markus; Rupp, Florian
7
2019
Sharp inequalities for the generalized elliptic integrals of the first kind. Zbl 1408.33010
Yang, Zhen-Hang; Tian, Jingfeng
7
2019
Two remarkable \(q\)-series expansions. Zbl 1460.11059
Hirschhorn, Michael D.
6
2019
Functional inequalities for the Fox-Wright functions. Zbl 1431.33007
Mehrez, Khaled; Sitnik, Sergei M.
5
2019
On cyclotomic factors of polynomials related to modular forms. Zbl 1450.11041
Heim, Bernhard; Luca, Florian; Neuhauser, Markus
5
2019
Proof of Sun’s conjectures on super congruences and the divisibility of certain binomial sums. Zbl 1428.11040
Mao, Guo-Shuai; Zhang, Tao
4
2019
Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1419.05022
Andrews, George E.; Yee, Ae Ja
4
2019
Kloosterman sums and Fourier coefficients of Eisenstein series. Zbl 1436.11102
Kıral, Eren Mehmet; Young, Matthew P.
4
2019
Euler’s partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities. Zbl 07096581
Xiong, Xinhua; Keith, William J.
4
2019
Universal quadratic forms over multiquadratic fields. Zbl 1428.11071
Kala, Vítězslav; Svoboda, Josef
3
2019
On second and eighth order mock theta functions. Zbl 1445.33027
Cui, Su-Ping; Gu, Nancy S. S.; Hao, Li-Jun
3
2019
New proofs of Ramanujan’s identities on false theta functions. Zbl 1430.33006
Wang, Liuquan
3
2019
The graded ring of modular forms on the Cayley half-space of degree two. Zbl 1444.11092
Dieckmann, C.; Krieg, A.; Woitalla, M.
3
2019
Topological strings, quiver varieties, and Rogers-Ramanujan identities. Zbl 1440.14261
Zhu, Shengmao
3
2019
Generalizations of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(T(a,b,c,d;n)\). Zbl 1455.11060
Yao, Olivia X. M.
3
2019
Solutions of KZ differential equations modulo \(p\). Zbl 1416.81080
Schechtman, Vadim; Varchenko, Alexander
3
2019
Correction to: “Almost periodic functions in terms of Bohr’s equivalence relation”. Zbl 1419.30015
Sepulcre, J. M.; Vidal, T.
3
2019
The partition function \(p(n)\) in terms of the classical Möbius function. Zbl 1464.11008
Merca, Mircea; Schmidt, Maxie D.
3
2019
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
3
2019
New congruences involving products of two binomial coefficients. Zbl 1450.11014
Mao, Guo-Shuai; Sun, Zhi-Wei
3
2019
Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid. Zbl 1420.42006
Abreu, L. D.; Álvarez-Nodarse, R.; Cardoso, J. L.
3
2019
Klyachko periods for Zelevinsky modules. Zbl 07096580
Offen, Omer; Sayag, Eitan
3
2019
\(r\)-log-concavity of partition functions. Zbl 1407.05016
Hou, Qing-Hu; Zhang, Zuo-Ru
2
2019
On unequal powers of primes and powers of 2. Zbl 07132656
Lü, Xiaodong
2
2019
On mock theta functions and weight-attached Frobenius partitions. Zbl 1428.05027
Sharma, S.; Rana, M.
2
2019
Finite generating functions for the sum-of-digits sequence. Zbl 1464.11016
Vignat, Christophe; Wakhare, Tanay
2
2019
Evaluation of Gaussian hypergeometric series using Huff’s models of elliptic curves. Zbl 07055390
Sadek, Mohammad; El-Sissi, Nermine; Zargar, Arman Shamsi; Zamani, Naser
2
2019
Finiteness of irreducible holomorphic eta quotients of a given level. Zbl 1444.11062
Bhattacharya, Soumya
2
2019
Poincaré square series of small weight. Zbl 1459.11112
Williams, Brandon
2
2019
Congruences for the coefficients of the mock theta function \(\beta (q)\). Zbl 1446.11191
Zhang, Wenlong; Shi, Ji
2
2019
Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function. Zbl 1431.33018
Salem, Ahmed
2
2019
\(Q\)-total positivity and strong \(q\)-log-convexity for some generalized triangular arrays. Zbl 1416.05043
Ahmia, Moussa; Belbachir, Hacène
2
2019
Combinatorial proof of an identity of Andrews and Yee. Zbl 1418.05021
Chern, Shane
2
2019
On a result of Fel’dman on linear forms in the values of some \(E\)-functions. Zbl 1429.11123
Väänänen, Keijo
1
2019
Analytic and arithmetic properties of the \((\Gamma ,\chi )\)-automorphic reproducing kernel function and associated Hermite-Gauss series. Zbl 1444.30019
El Fardi, A.; Ghanmi, A.; Imlal, L.; Souid El Ainin, M.
1
2019
A note on \(q\)-difference equations for Ramanujan’s integrals. Zbl 1407.39004
Cao, Jian
1
2019
Hilbert transforms and sum rules of Bessel moments. Zbl 1409.44002
Zhou, Yajun
1
2019
Nonnegative linearization coefficients of the generalized Bessel polynomials. Zbl 1408.33014
Tcheutia, D. D.
1
2019
A control theorem for \(p\)-adic automorphic forms and Teitelbaum’s \(\mathcal{L} \)-invariant. Zbl 07132652
Gräf, Peter Mathias
1
2019
Some new modular equations in Ramanujan’s alternate theory of signature 3. Zbl 1431.11061
Saikia, Nipen; Chetry, Jubaraj
1
2019
Natural exact covering systems and the reversion of the Möbius series. Zbl 1427.05022
Goulden, I. P.; Granville, Andrew; Richmond, L. Bruce; Shallit, Jeffrey
1
2019
Periodic points of algebraic functions and Deuring’s class number formula. Zbl 1461.14033
Morton, Patrick
1
2019
Evaluating theta derivatives with rational characteristics. Zbl 1428.14079
Zemel, Shaul
1
2019
On some \(q\)-versions of the Ramanujan master theorem. Zbl 1437.33016
Fitouhi, Ahmed; Brahim, Kamel; Bettaibi, Néji
1
2019
Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms. Zbl 1436.11037
Amri, Mohammed Amin
1
2019
Combinatorial proofs for identities related to generalizations of the mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1432.05014
Li, Frank Z. K.; Yang, Jane Y. X.
1
2019
The value of an integral in Gradshteyn and Ryzhik’s table. Zbl 1429.26012
Arias de Reyna, Juan
1
2019
Transformation formulas of a character analogue of \(\log \theta _{2}(z)\). Zbl 1444.11063
Boztaş, Merve Çelebi; Can, Mümün
1
2019
Congruences for partition functions related to mock theta functions. Zbl 1452.11124
Chern, Shane; Hao, Li-Jun
1
2019
Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\). Zbl 1462.17028
Primc, Mirko; Šikić, Tomislav
1
2019
Supnorm of an eigenfunction of finitely many Hecke operators. Zbl 1452.11049
Jana, Subhajit
1
2019
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Cited by 3,679 Authors

40 Xia, Ernest X. W.
37 Bringmann, Kathrin
35 Terwilliger, Paul M.
34 Guo, Victor J. W.
33 Chen, Zongxuan
33 Chu, Wenchang
32 Moll, Victor Hugo
32 Sofo, Anthony
31 Luca, Florian
30 Chu, Yuming
28 Andrews, George Eyre
28 Chen, Chaoping
28 Srivastava, Hari Mohan
28 Yao, Olivia Xiang Mei
26 Cooper, Shaun
26 Kim, Byungchan
26 Lovejoy, Jeremy
26 Zudilin, Wadim
25 Chen, William Yong-Chuan
24 Barman, Rupam
24 Baruah, Nayandeep Deka
24 Mahadeva Naika, Megadahalli Sidda
24 Merca, Mircea
24 Warnaar, S. Ole
24 Xu, Ce
23 Chern, Shane
23 Choi, Junesang
23 Komatsu, Takao
22 Saikia, Nipen
22 Spiridonov, Vyacheslav Pavlovich
22 Xu, Hongyan
21 Alzer, Horst
21 Borwein, Jonathan Michael
21 Ono, Ken
21 Schlosser, Michael J.
20 Ito, Masahiko
20 Wang, Liuquan
20 Yang, Zhenhang
20 Yee, Ae Ja
19 Lin, Bernard L. S.
19 Zeng, Jiang
18 Chan, Heng Huat
18 Dixit, Atul
18 Liu, Zhi-Guo
18 Mansour, Toufik
18 Osburn, Robert
18 Tang, Dazhao
17 Berkovich, Alexander
17 Han, Guo-Niu
17 Jennings-Shaffer, Chris
16 Alkan, Emre
16 Ismail, Mourad El-Houssieny
16 Sellers, James Allen
16 Shparlinski, Igor E.
16 Vignat, Christophe
15 Berndt, Bruce Carl
15 Garvan, Frank G.
15 Li, Sheng
15 Nomura, Kazumasa
15 Straub, Armin
15 Vinet, Luc
15 Yang, Lianzhong
15 Yi, Hongxun
14 Guillera, Jesús
14 Kohnen, Winfried
14 Koo, Jakyung
14 Korhonen, Risto
14 Liu, Kai
14 Ntouyas, Sotiris K.
14 Simsek, Yilmaz
14 Tariboon, Jessada
14 Toh, Pee Choon
14 Wakayama, Masato
14 Wei, Chuanan
13 Alladi, Krishnaswami
13 Chan, Song Heng
13 Gu, Nancy Shan Shan
13 Ito, Tatsuro
13 Koumandos, Stamatis
13 Li, Xiaomin
13 Mao, Renrong
13 Mc Laughlin, James G.
13 Rhoades, Robert C.
13 Sills, Andrew V.
13 Ye, Dongxi
12 Adiga, Chandrashekar
12 Bailey, David Harold
12 Chen, Baoqin
12 Corteel, Sylvie
12 Heim, Bernhard Ernst
12 Hirschhorn, Michael D.
12 Laurinčikas, Antanas
12 Mahlburg, Karl
12 Park, Yoon Kyung
12 Pollack, Paul
12 Qi, Xiaoguang
12 Wang, Xiaoxia
12 Zhedanov, Alexei S.
12 Zhou, Yajun
11 Amdeberhan, Tewodros
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Cited in 418 Journals

616 The Ramanujan Journal
354 Journal of Number Theory
225 International Journal of Number Theory
174 Journal of Mathematical Analysis and Applications
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91 Advances in Mathematics
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75 Journal of Combinatorial Theory. Series A
70 Research in Number Theory
66 Advances in Applied Mathematics
64 Annals of Combinatorics
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58 Transactions of the American Mathematical Society
54 Integers
50 Applied Mathematics and Computation
48 Bulletin of the Australian Mathematical Society
48 Mathematics of Computation
47 Linear Algebra and its Applications
45 Functiones et Approximatio. Commentarii Mathematici
42 Journal of Difference Equations and Applications
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39 Results in Mathematics
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38 Rocky Mountain Journal of Mathematics
37 Acta Arithmetica
34 Journal of Approximation Theory
33 European Journal of Combinatorics
33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
32 Monatshefte für Mathematik
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32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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10 Experimental Mathematics
10 Selecta Mathematica. New Series
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9 Inventiones Mathematicae
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9 Theoretical Computer Science
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9 Aequationes Mathematicae
9 The Electronic Journal of Combinatorics
9 Central European Journal of Mathematics
9 Proceedings of the Steklov Institute of Mathematics
9 Science China. Mathematics
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Czechoslovak Mathematical Journal
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