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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: 1,854 Publications (since 1997)
References Indexed: 1,633 Publications with 29,018 References.
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Latest Issues

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)
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55, No. 3 (2021)
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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)
...and 70 more Volumes
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Authors

31 Hirschhorn, Michael D.
19 Xia, Ernest X. W.
17 Andrews, George Eyre
15 Merca, Mircea
15 Sárközy, András
14 Chu, Wenchang
13 Berndt, Bruce Carl
13 Chern, Shane
13 Kohnen, Winfried
13 Lin, Bernard L. S.
13 Sellers, James Allen
12 Baruah, Nayandeep Deka
12 Nicolas, Jean-Louis
12 Yao, Olivia Xiang Mei
12 Zhou, Yajun
11 Moll, Victor Hugo
10 Alladi, Krishnaswami
10 Borwein, Jonathan Michael
10 Chen, William Yong-Chuan
10 Cooper, Shaun
10 Mc Laughlin, James G.
10 Yee, Ae Ja
9 Guillera, Jesús
9 Liu, Zhi-Guo
9 Luca, Florian
9 Zeng, Jiang
8 Chan, Heng Huat
8 Choie, YoungJu
8 Elliott, Peter D. T. A.
8 Kim, Chang Heon
8 Koo, Jakyung
8 Tang, Dazhao
7 Bringmann, Kathrin
7 Guo, Victor J. W.
7 Lu, Guangshi
7 Mauduit, Christian
7 McIntosh, Richard J.
7 Pomerance, Carl Bernard
7 Tenenbaum, Gérald
7 Vignat, Christophe
7 Wang, Liuquan
7 Zaharescu, Alexandru
6 Alkan, Emre
6 Ballantine, Cristina M.
6 Chen, Chaoping
6 Dixit, Atul
6 Gu, Nancy Shan Shan
6 Mao, Guo-Shuai
6 Ono, Ken
6 Suslov, Sergei K.
6 Takeyama, Yoshihiro
6 Warnaar, S. Ole
6 Zhedanov, Alexei S.
5 Alzer, Horst
5 Amdeberhan, Tewodros
5 Barman, Rupam
5 Berkovich, Alexander
5 Chakraborty, Kalyan
5 Cui, Su-Ping
5 de Azevedo Pribitkin, Wladimir
5 El Bachraoui, Mohamed
5 Folsom, Amanda L.
5 Guerzhoy, Pavel I.
5 Gyarmati, Katalin
5 Han, Guo-Niu
5 He, Bing
5 James, Kevin
5 Kalita, Gautam
5 Kim, Byungchan
5 Kim, Myung-Hwan
5 Knopfmacher, Arnold
5 Knopp, Marvin Isadore
5 Kolitsch, Louis Worthy
5 Li, Jinjiang
5 Lu, Dawei
5 Mao, Renrong
5 Mason, Geoffrey
5 Matsuda, Kazuhide
5 Oh, Byeong-Kweon
5 O’Sullivan, Cormac
5 Shen, Lichien
5 Srivastava, Hari Mohan
5 Toh, Pee Choon
5 Vinet, Luc
5 Wei, Chuanan
5 Wu, Jie
5 Zhai, Wenguang
5 Zhang, Min
4 Banks, William D.
4 Baricz, Árpád
4 Basu, Ankur
4 Borwein, David
4 Bouzeffour, Fethi
4 Brown, Jim L.
4 Cai, Yingchun
4 Chan, Song Heng
4 Dilcher, Karl
4 Dou, Donna Quan Jie
4 Elsner, Carsten
4 Espinosa, Olivier
...and 1,732 more Authors
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Fields

1,478 Number theory (11-XX)
507 Special functions (33-XX)
439 Combinatorics (05-XX)
78 Functions of a complex variable (30-XX)
67 Algebraic geometry (14-XX)
60 Harmonic analysis on Euclidean spaces (42-XX)
51 Approximations and expansions (41-XX)
39 Sequences, series, summability (40-XX)
37 Real functions (26-XX)
35 Probability theory and stochastic processes (60-XX)
33 Difference and functional equations (39-XX)
30 Group theory and generalizations (20-XX)
26 Nonassociative rings and algebras (17-XX)
19 Ordinary differential equations (34-XX)
17 Integral transforms, operational calculus (44-XX)
17 Numerical analysis (65-XX)
15 Topological groups, Lie groups (22-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Commutative algebra (13-XX)
11 History and biography (01-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
8 Field theory and polynomials (12-XX)
8 Computer science (68-XX)
8 Quantum theory (81-XX)
7 General and overarching topics; collections (00-XX)
7 Associative rings and algebras (16-XX)
7 Operator theory (47-XX)
7 Convex and discrete geometry (52-XX)
6 Partial differential equations (35-XX)
6 Functional analysis (46-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Manifolds and cell complexes (57-XX)
4 Measure and integration (28-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 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Optics, electromagnetic theory (78-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)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

1,302 Publications have been cited 8,289 times in 5,715 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
367
2008
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
72
2006
Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\). Zbl 1128.16028
Ito, Tatsuro; Terwilliger, Paul
64
2007
Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075
Guillera, Jesús; Sondow, Jonathan
62
2008
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
59
1997
Explicit estimates of some functions over primes. Zbl 1426.11088
Dusart, Pierre
53
2018
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
51
2010
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
50
2003
The Arakawa-Kaneko zeta function. Zbl 1230.11106
Coppo, Marc-Antoine; Candelpergher, Bernard
46
2010
Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058
Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming
44
2018
Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms. Zbl 1200.11065
Zhao, Jianqiang
44
2007
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C.
44
2002
Identities for the harmonic numbers and binomial coefficients. Zbl 1234.11022
Sofo, Anthony; Srivastava, H. M.
43
2011
Some systems of multivariable orthogonal \(q\)-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
42
2007
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
41
2008
Lecture hall partitions. Zbl 0909.05008
Bousquet-Mélou, Mireille; Eriksson, Kimmo
41
1997
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
41
2003
Arithmetic of the 13-regular partition function modulo 3. Zbl 1252.11086
Webb, John J.
40
2011
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
38
2015
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
38
2006
Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016
Hirschhorn, Michael D.; Sellers, James A.
37
2010
Congruences for \(\ell\)-regular partition functions modulo 3. Zbl 1252.11083
Furcy, David; Penniston, David
37
2012
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
37
2006
Analogues of Ramanujan’s partition identities. Zbl 1281.11092
Xia, Ernest X. W.; Yao, Olivia X. M.
37
2013
On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011
Reiher, Christian
36
2007
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
36
2012
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
35
2000
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
34
2006
On modular forms arising from a differential equation of hypergeometric type. Zbl 1050.11047
Kaneko, Masanobu; Koike, Masao
34
2003
An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic). Zbl 1125.33015
Rosengren, Hjalmar
33
2007
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
33
2008
\(l\)-divisibility of \(l\)-regular partition functions. Zbl 1195.11140
Dandurand, Brian; Penniston, David
32
2009
Multiple zeta values at non-positive integers. Zbl 1002.11069
Akiyama, Shigeki; Tanigawa, Yoshio
32
2001
On Borcherds products associated with lattices of prime discriminant. Zbl 1130.11317
Bruinier, Jan Hendrik; Bundschuh, Michael
32
2003
Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen
32
2019
On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001
Espinosa, Olivier; Moll, Victor H.
31
2002
Parity results for 9-regular partitions. Zbl 1308.11093
Xia, Ernest X. W.; Yao, Olivia X. M.
29
2014
Limits of elliptic hypergeometric integrals. Zbl 1178.33021
Rains, Eric M.
29
2009
Explicit evaluation of Euler and related sums. Zbl 1115.11052
Choi, Junesang; Srivastava, H. M.
29
2005
On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333
Espinosa, Olivier; Moll, Victor H.
29
2002
Jagged partitions. Zbl 1079.05003
Fortin, J.-F.; Jacob, P.; Mathieu, P.
28
2005
The multiple gamma function and its application to computation of series. Zbl 1088.33014
Adamchik, V. S.
28
2005
A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002
Amdeberhan, Tewodros; Moll, Victor H.
27
2009
Harmonic number identities via the Newton-Andrews method. Zbl 1306.05005
Wang, Weiping; Jia, Cangzhi
26
2014
New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \). Zbl 1226.11113
Rogers, Mathew D.
26
2009
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
26
2007
An expansion formula for \(q\)-series and applications. Zbl 1044.05012
Liu, Zhi-Guo
26
2002
Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
26
2005
Partial theta functions and mock modular forms as \(q\)-hypergeometric series. Zbl 1283.11077
Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C.
26
2012
A family of shifted harmonic sums. Zbl 1312.05014
Sofo, Anthony; Srivastava, H. M.
25
2015
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
25
2009
Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043
Ramanujan, Srinivasa
25
1997
Congruences for 9-regular partitions modulo 3. Zbl 1360.11105
Keith, William J.
24
2014
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
24
2015
Supercongruences for the Catalan-Larcombe-French numbers. Zbl 1218.11025
Jarvis, Frazer; Verrill, Helena A.
24
2010
Congruences modulo 9 and 27 for overpartitions. Zbl 1422.11214
Xia, Ernest X. W.
24
2017
Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
24
2011
Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1122.44002
Salem, N. Ben; Salem, A. Ould Ahmed
24
2006
Ramanujan sums as supercharacters. Zbl 1368.11090
Fowler, Christopher F.; Garcia, Stephan Ramon; Karaali, Gizem
23
2014
Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064
Franc, Cameron; Mason, Geoffrey
23
2016
On relations for the multiple \(q\)-zeta values. Zbl 1211.11099
Okuda, Jun-ichi; Takeyama, Yoshihiro
23
2007
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
23
2002
Ramanujan’s master theorem. Zbl 1258.33001
Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin
23
2012
The basic bilateral hypergeometric series and the mock theta functions. Zbl 1225.33019
Choi, Youn-Seo
22
2011
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
22
2017
Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series. Zbl 0934.33006
Schlosser, Michael
22
1997
Lecture hall partitions. II. Zbl 0909.05009
Bousquet-Mélou, Mireille; Eriksson, Kimmo
22
1997
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
21
2011
A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Zbl 1276.11148
Candelpergher, Bernard; Coppo, Marc-Antoine
21
2012
Short proofs of the elliptic beta integrals. Zbl 1118.33008
Spiridonov, V. P.
21
2007
An extension of Vietoris’s inequalities. Zbl 1138.42002
Koumandos, Stamatis
21
2007
\(q\)-Selberg integrals and Macdonald polynomials. Zbl 1086.33018
Warnaar, S. Ole
21
2005
Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
21
2010
Joint universality for dependent \(L\)-functions. Zbl 1440.11165
Pańkowski, Łukasz
20
2018
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
20
2011
On the expansion of Ramanujan’s continued fraction. Zbl 0924.11005
Hirschhorn, Michael D.
20
1998
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
20
2005
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
20
2010
Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024
Paule, Peter; Radu, Silviu
20
2010
Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107
Lovejoy, Jeremy
20
2012
A \(q\)-series expansion formula and the Askey-Wilson polynomials. Zbl 1433.33011
Liu, Zhi-Guo
20
2013
Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010
Komatsu, Takao
20
2013
Arithmetic properties of bipartitions with even parts distinct. Zbl 1298.05033
Lin, Bernard L. S.
19
2014
Infinite families of infinite families of congruences for \(k\)-regular partitions. Zbl 1300.11045
Carlson, Rowland; Webb, John J.
19
2014
On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086
Ivić, Aleksandar
19
2009
\(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039
Hikami, Kazuhiro
19
2006
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
19
2011
An algorithmic approach to Ramanujan’s congruences. Zbl 1204.11165
Radu, Silviu
19
2009
On the Ramanujan-Göllnitz-Gordon continued fraction. Zbl 0905.11008
Chan, Heng Huat; Huang, Sen-Shan
19
1997
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
19
2003
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
19
2012
On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075
Mortenson, Eric
19
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
19
2013
Sums of five, seven and nine squares. Zbl 1050.11044
Cooper, Shaun
18
2002
The distribution of totients. Zbl 0914.11053
Ford, Kevin
18
1998
Sums involving the Hurwitz zeta function. Zbl 0989.11043
Kanemitsu, Shigeru; Kumagai, Hiroshi; Yoshimoto, Masami
18
2001
Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan’s Lost Notebook. Zbl 0930.11025
Kang, Soon-Yi
18
1999
Sums of products of Apostol-Bernoulli numbers. Zbl 1250.11026
Kim, Min-Soo; Hu, Su
18
2012
On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075
Coons, Michael
18
2013
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
18
2013
Goldbach-Linnik type problems on cubes of primes. Zbl 07462097
Zhao, Xiaodong
3
2022
Trigonometric sums through Ramanujan’s theory of theta functions. Zbl 1483.11168
Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V.
2
2022
An exact formula for a Lambert series associated to a cusp form and the Möbius function. Zbl 07472670
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha
2
2022
Self-conjugate \((s,s+d,\dots ,s+pd)\)-core partitions and free Motzkin paths. Zbl 1485.05007
Cho, Hyunsoo; Huh, JiSun
1
2022
On primes and practical numbers. Zbl 07490456
Pomerance, Carl; Weingartner, Andreas
1
2022
On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. Zbl 07490457
Amir, Malik; Hong, Letong
1
2022
Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. Zbl 07490463
Garcia, Stephan Ramon; Lee, Ethan Simpson
1
2022
Projections of modular forms on Eisenstein series and its application to Siegel’s formula. Zbl 1483.11073
Aygin, Zafer Selcuk
1
2022
Voronoi summation formula for Gaussian integers. Zbl 07462098
Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel
1
2022
On small sets of integers. Zbl 1484.11028
Leonetti, Paolo; Tringali, Salvatore
1
2022
Properties of the Appell-Lerch function (I). Zbl 07462100
Bradley-Thrush, J. G.
1
2022
On sums of coefficients of polynomials related to the Borwein conjectures. Zbl 1489.11160
Goswami, Ankush; Pantangi, Venkata Raghu Tej
1
2022
Certain eta-quotients and \(\ell \)-regular overpartitions. Zbl 1489.11162
Ray, Chiranjit; Chakraborty, Kalyan
1
2022
Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127
Chern, Shane
1
2022
Uniqueness of Fourier coefficients of eigenforms. Zbl 1486.11061
Xue, Hui; Zhu, Daozhou
1
2022
Highly composite numbers and the Riemann hypothesis. Zbl 07472661
Nicolas, Jean-Louis
1
2022
Automorphic Schwarzian equations and integrals of weight 2 forms. Zbl 07472662
Saber, Hicham; Sebbar, Abdellah
1
2022
Transcendency of some constants related to integer sequences of polynomial iterations. Zbl 1485.11110
Dubickas, Artūras
1
2022
On sets containing no geometric progression with integer ratio. Zbl 07472665
Fang, Jin-Hui
1
2022
An efficient determination of the coefficients in the Chudnovskys’ series for \(1/ \pi \). Zbl 1489.11061
Milla, Lorenz
1
2022
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry. Zbl 07540794
Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron
1
2022
Linear inequalities concerning partitions into distinct parts. Zbl 07543022
Merca, Mircea
1
2022
Bounds for the generalized Marcum function of the second kind. Zbl 07510922
Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony
1
2022
The dual form of Beck type identities. Zbl 07510929
Li, Runqiao; Wang, Andrew Y. Z.
1
2022
Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7. Zbl 07510936
Kaur, Mandeep; Vandna
1
2022
The 5-dissections of two infinite product expansions. Zbl 1466.33012
Dou, Donna Q. J.; Xiao, Jiejuan
6
2021
On supercongruences for truncated sums of squares of basic hypergeometric series. Zbl 1473.11002
El Bachraoui, Mohamed
6
2021
On the approximation of some special functions in Ramanujan’s generalized modular equation with signature \(3^{\ast}\). Zbl 1489.33002
Wang, Miao-Kun; Chu, Hong-Hu; Chu, Yu-Ming
6
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
5
2021
An analog of the Dougall formula and of the de Branges-Wilson integral. Zbl 1467.33009
Neretin, Yury A.
5
2021
On the zeros of certain composite polynomials and an operator preserving inequalities. Zbl 1462.30013
Rather, N. A.; Dar, Ishfaq; Gulzar, Suhail
4
2021
Asymptotic equidistribution and convexity for partition ranks. Zbl 1468.11214
Males, Joshua
4
2021
Discrete Kontorovich-Lebedev transforms. Zbl 1476.44005
Yakubovich, Semyon
4
2021
New infinite \(q\)-product expansions with vanishing coefficients. Zbl 07369454
Mc Laughlin, James
4
2021
Some exceptional sets of Borel-Bernstein theorem in continued fractions. Zbl 1481.11078
Fang, Lulu; Ma, Jihua; Song, Kunkun
4
2021
Asymptotics of Nahm sums at roots of unity. Zbl 1479.57031
Garoufalidis, Stavros; Zagier, Don
3
2021
Weighted Erdős-Kac theorem in short intervals. Zbl 1469.11388
Liu, Kui; Wu, Jie
2
2021
Counting self-conjugate \((s,s+1,s+2)\)-core partitions. Zbl 1462.05018
Cho, Hyunsoo; Huh, JiSun; Sohn, Jaebum
2
2021
Variations around a general quantum operator. Zbl 1476.33015
Cardoso, J. L.
2
2021
Hidden \(q\)-analogues of Ramanujan-like \(\pi\)-series. Zbl 1476.33011
Chen, Xiaojing; Chu, Wenchang
2
2021
Combinatorial proofs of two theorems related to the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1462.05027
Ballantine, Cristina; Merca, Mircea
2
2021
Three-variable Mahler measures and special values of \(L\)-functions of modular forms. Zbl 1468.11221
Guo, Xuejun; Peng, Yuzhen; Qin, Hourong
2
2021
On variants of symmetric multiple zeta-star values and the cyclic sum formula. Zbl 1485.11131
Hirose, Minoru; Murahara, Hideki; Ono, Masataka
2
2021
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. Zbl 1481.11020
Ddamulira, Mahadi; Luca, Florian
2
2021
On two conjectural supercongruences of Z.-W. Sun. Zbl 07438419
Wang, Chen
2
2021
On minimal complements in groups. Zbl 1481.11012
Biswas, Arindam; Saha, Jyoti Prakash
2
2021
Asymptotics for the Taylor coefficients of certain infinite products. Zbl 1482.11136
Chern, Shane
2
2021
Sets of values of equivalent almost periodic functions. Zbl 1477.42009
Sepulcre, J. M.; Vidal, T.
2
2021
The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms. Zbl 1469.11102
Kumari, Moni; Sengupta, Jyoti
1
2021
Exact expansions of Hankel transforms and related integrals. Zbl 1470.44006
Kisselev, A. V.
1
2021
Inequalities for the overpartition function. Zbl 1462.05031
Liu, Edward Y. S.; Zhang, Helen W. J.
1
2021
On a binary Diophantine inequality involving prime numbers. Zbl 1469.11398
Li, Sanhua; Cai, Yingchun
1
2021
Arboretum for a generalisation of Ramanujan polynomials. Zbl 1462.05037
Randazzo, Lucas
1
2021
On Siegel invariants of certain CM-fields. Zbl 1469.11441
Koo, Ja Kyung; Robert, Gilles; Shin, Dong Hwa; Yoon, Dong Sung
1
2021
Integrals of inverse trigonometric and polylogarithmic functions. Zbl 1477.33007
Sofo, Anthony
1
2021
Modularity of Galois traces of ray class invariants. Zbl 1469.11101
Jung, Ho Yun; Kim, Chang Heon
1
2021
Some results concerning partitions with designated summands. Zbl 1468.11215
Chern, Shane; Hirschhorn, Michael D.
1
2021
An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures. Zbl 1468.35080
Faulhuber, Markus
1
2021
Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two. Zbl 1469.11115
Gun, Sanoli; Kohnen, Winfried; Paul, Biplab
1
2021
Explicit congruences modulo 2048 for overpartitions. Zbl 1468.11217
Xue, Fanggang; Yao, Olivia X. M.
1
2021
\(H_q\)-semiclassical orthogonal polynomials via polynomial mappings. Zbl 1462.42043
Castillo, K.; de Jesus, M. N.; Marcellán, F.; Petronilho, J.
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
Zeros of polynomials with four-term recurrence and linear coefficients. Zbl 1469.30014
Tran, Khang; Zumba, Andres
1
2021
Positive alternating sums of integer partitions. Zbl 1479.05023
El Bachraoui, Mohamed
1
2021
1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5. Zbl 1479.11179
Chern, Shane
1
2021
The first moment of Maaß form symmetric square \(L\)-functions. Zbl 1477.11092
Balkanova, Olga
1
2021
Polygonal numbers and Rogers-Ramanujan-Gordon theorem. Zbl 1485.11147
Merca, Mircea
1
2021
On 5- and 10-dissections for some infinite products. Zbl 1478.11067
Tang, Dazhao
1
2021
The divisor function on residue classes. III. Zbl 1482.11131
Pongsriiam, Prapanpong; Vaughan, Robert C.
1
2021
On the combinatorics of the number of even parts in all partitions with distinct parts. Zbl 1489.11169
Li, Runqiao; Wang, Andrew Y. Z.
1
2021
A note on an inequality of Paul Turán concerning polynomials. Zbl 1482.30015
Mir, Abdullah
1
2021
Sextic reciprocal monogenic dihedral polynomials. Zbl 1487.11095
Jones, Lenny
1
2021
An inequality for the modified Selberg zeta-function. Zbl 1475.30001
Belovas, Igoris
1
2021
The Ramanujan sum and Chebotarev densities. Zbl 1469.11373
Wang, Biao
1
2021
Some remarks on Kida’s formula when \(\mu\neq 0\). Zbl 1483.11244
Lim, Meng Fai
1
2021
A \(\mathrm{GL}_3\) analog of Selberg’s result on \(S(t)\). Zbl 1477.11091
Liu, Sheng-Chi; Liu, Shenhui
1
2021
An Erdős-Fuchs theorem for ordered representation functions. Zbl 07420090
Cao-Labora, Gonzalo; Rué, Juanjo; Spiegel, Christoph
1
2021
On class numbers of pure quartic fields. Zbl 1487.11103
Li, Jianing; Xu, Yue
1
2021
\(q\)-analogues of three Ramanujan-type formulas for \(1/\pi\). Zbl 1468.11066
Guo, Victor J. W.
13
2020
\(q\)-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
8
2020
Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients. Zbl 1444.33005
Wang, Xiaoyuan; Chu, Wenchang
8
2020
The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Zbl 1444.39007
Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei
7
2020
Some results on vanishing coefficients in infinite product expansions. Zbl 1476.33010
Baruah, Nayandeep Deka; Kaur, Mandeep
7
2020
On a Diophantine inequality involving prime numbers. Zbl 1444.11051
Li, Sanhua; Cai, Yingchun
5
2020
Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. Zbl 1436.81070
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei
5
2020
Partition implications of a three-parameter \(q\)-series identity. Zbl 1445.11114
Dixit, Atul; Maji, Bibekananda
5
2020
Several \(q\)-series related to Ramanujan’s theta functions. Zbl 1467.33013
Tang, Dazhao; Xia, Ernest. X. W.
5
2020
Cubic partitions modulo powers of 5. Zbl 1450.11109
Hirschhorn, Michael D.
5
2020
A general method for proving the non-trivial linear homogeneous partition inequalities. Zbl 1434.05014
Merca, Mircea; Katriel, Jacob
5
2020
Universal sums of generalized pentagonal numbers. Zbl 1458.11061
Ju, Jangwon
4
2020
A method for proving Ramanujan’s series for \(1/\pi\). Zbl 1440.33019
Guillera, Jesús
4
2020
Geometric and monotonic properties of hyper-Bessel functions. Zbl 1481.30004
Aktaş, İbrahim; Baricz, Árpád; Singh, Sanjeev
4
2020
Categories of two-colored pair partitions. I: Categories indexed by cyclic groups. Zbl 1484.46076
Mang, Alexander; Weber, Moritz
3
2020
Multiple zeta values for classical special functions. Zbl 1439.11224
Wakhare, Tanay; Vignat, Christophe
3
2020
The Taylor coefficients of the Jacobi theta constant \(\theta_3\). Zbl 1460.11053
Romik, Dan
3
2020
A generalization of Arai-Carlitz’s identity. Zbl 1468.11219
Wang, Yujie; Ji, Chungang
3
2020
Diophantine approximation with one prime, two squares of primes and powers of two. Zbl 1452.11035
Liu, Huafeng
3
2020
On the computation and verification of \(\pi\) using BBP-type formulas. Zbl 07173683
Takahashi, Daisuke
3
2020
Factorization theorems for generalized Lambert series and applications. Zbl 1458.11008
Merca, Mircea; Schmidt, Maxie D.
3
2020
The Burgess bound via a trivial delta method. Zbl 1469.11123
Aggarwal, Keshav; Holowinsky, Roman; Lin, Yongxiao; Sun, Qingfeng
2
2020
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Cited by 4,359 Authors

58 Chu, Yuming
49 Xia, Ernest X. W.
43 Chu, Wenchang
41 Bringmann, Kathrin
40 Sofo, Anthony
38 Guo, Victor J. W.
36 Terwilliger, Paul M.
35 Chen, Zongxuan
33 Merca, Mircea
33 Moll, Victor Hugo
32 Luca, Florian
32 Srivastava, Hari Mohan
32 Yao, Olivia Xiang Mei
30 Andrews, George Eyre
30 Mahadeva Naika, Megadahalli Sidda
30 Xu, Hongyan
29 Chen, Chaoping
28 Chern, Shane
28 Kim, Byungchan
28 Lovejoy, Jeremy
28 Xu, Ce
27 Barman, Rupam
27 Baruah, Nayandeep Deka
27 Chen, William Yong-Chuan
27 Yang, Zhenhang
27 Zudilin, Wadim
26 Alzer, Horst
26 Cooper, Shaun
25 Choi, Junesang
25 Saikia, Nipen
25 Warnaar, S. Ole
24 Komatsu, Takao
24 Ono, Ken
24 Spiridonov, Vyacheslav Pavlovich
23 Lin, Bernard L. S.
23 Yee, Ae Ja
22 Sellers, James Allen
21 Borwein, Jonathan Michael
21 Dixit, Atul
21 Laurinčikas, Antanas
21 Schlosser, Michael J.
21 Tang, Dazhao
21 Wang, Liuquan
21 Wang, Miaokun
20 Ito, Masahiko
20 Zeng, Jiang
19 Mansour, Toufik
19 Osburn, Robert
19 Tian, Jingfeng
19 Zhao, Tiehong
18 Berkovich, Alexander
18 Chan, Heng Huat
18 Han, Guo-Niu
18 Liu, Zhi-Guo
18 Vinet, Luc
17 Alkan, Emre
17 Berndt, Bruce Carl
17 Gu, Nancy Shan Shan
17 Jennings-Shaffer, Chris
17 Shparlinski, Igor E.
17 Vignat, Christophe
17 Yang, Lianzhong
16 Campbell, John Maxwell
16 Garvan, Frank G.
16 Ismail, Mourad El-Houssieny
16 Kohnen, Winfried
16 Li, Sheng
16 Straub, Armin
16 Toh, Pee Choon
16 Ye, Dongxi
16 Yi, Hongxun
15 Cui, Su-Ping
15 Heim, Bernhard Ernst
15 Korhonen, Risto
15 Mc Laughlin, James G.
15 Nomura, Kazumasa
15 Ntouyas, Sotiris K.
15 Rolen, Larry
15 Sills, Andrew V.
15 Simsek, Yilmaz
15 Tariboon, Jessada
15 Wakayama, Masato
14 Adiga, Chandrashekar
14 Cao, Tingbin
14 Folsom, Amanda L.
14 Guillera, Jesús
14 Koo, Jakyung
14 Li, Xiaomin
14 Liu, Kai
14 Neuhauser, Markus
14 Qi, Xiaoguang
14 Tenenbaum, Gérald
14 Wei, Chuanan
14 Xu, Aimin
13 Alladi, Krishnaswami
13 Bailey, David Harold
13 Ballantine, Cristina M.
13 Banerjee, Abhijit
13 Cao, Jian
13 Chan, Song Heng
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Cited in 472 Journals

721 The Ramanujan Journal
370 Journal of Number Theory
243 International Journal of Number Theory
196 Journal of Mathematical Analysis and Applications
118 Proceedings of the American Mathematical Society
101 Advances in Mathematics
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84 Research in Number Theory
81 Journal of Combinatorial Theory. Series A
73 Advances in Applied Mathematics
73 Integers
72 Integral Transforms and Special Functions
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66 Annals of Combinatorics
63 Journal of Inequalities and Applications
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54 Functiones et Approximatio. Commentarii Mathematici
52 Applied Mathematics and Computation
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47 Rocky Mountain Journal of Mathematics
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44 Journal de Théorie des Nombres de Bordeaux
41 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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39 The Electronic Journal of Combinatorics
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35 Journal of Approximation Theory
35 Mathematische Zeitschrift
35 Mediterranean Journal of Mathematics
35 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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32 Open Mathematics
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25 Acta Mathematica Hungarica
24 Mathematische Annalen
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24 Acta Mathematica Sinica. English Series
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15 Journal of the Ramanujan Mathematical Society
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15 Acta Mathematica Scientia. Series B. (English Edition)
15 Journal of Mathematics
14 Israel Journal of Mathematics
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14 Applicable Analysis and Discrete Mathematics
13 Ukrainian Mathematical Journal
13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
13 Annales de l’Institut Fourier
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13 Filomat
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12 Czechoslovak Mathematical Journal
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