## 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) 56, No. 1 (2021) 55, No. 3 (2021) 55, No. 2 (2021) 55, No. 1 (2021) 54, No. 3 (2021) 54, No. 2 (2021) 54, No. 1 (2021) 53, No. 3 (2020) 53, No. 2 (2020) 53, No. 1 (2020) 52, No. 3 (2020) 52, No. 2 (2020) 52, No. 1 (2020) 51, No. 3 (2020) 51, No. 2 (2020) 51, No. 1 (2020) 50, No. 3 (2019) 50, No. 2 (2019) 50, No. 1 (2019) 49, No. 3 (2019) 49, No. 2 (2019) 49, No. 1 (2019) 48, No. 3 (2019) 48, No. 2 (2019) 48, No. 1 (2019) 47, No. 3 (2018) 47, No. 2 (2018) 47, No. 1 (2018) 46, No. 3 (2018) 46, No. 2 (2018) 46, No. 1 (2018) 45, No. 3 (2018) 45, No. 2 (2018) 45, No. 1 (2018) 44, No. 3 (2017) 44, No. 2 (2017) 44, No. 1 (2017) 43, No. 3 (2017) 43, No. 2 (2017) 43, No. 1 (2017) 42, No. 3 (2017) 42, No. 2 (2017) 42, No. 1 (2017) 41, No. 1-3 (2016) 40, No. 3 (2016) 40, No. 2 (2016) 40, No. 1 (2016) 39, No. 3 (2016) 39, No. 2 (2016) 39, No. 1 (2016) 38, No. 3 (2015) 38, No. 2 (2015) 38, No. 1 (2015) 37, No. 3 (2015) 37, No. 2 (2015) 37, No. 1 (2015) 36, No. 3 (2015) 36, No. 1-2 (2015) 35, No. 3 (2014) 35, No. 2 (2014) 35, No. 1 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 3 (2014) 33, No. 2 (2014) 33, No. 1 (2014) 32, No. 3 (2013) 32, No. 2 (2013) 32, No. 1 (2013) 31, No. 3 (2013) 31, No. 1-2 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 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)

### 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
2008
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
2006
Tridiagonal pairs and the quantum affine algebra $$U_q(\widehat{\text{sl}}_2)$$. Zbl 1128.16028
Ito, Tatsuro; Terwilliger, Paul
2007
Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent. Zbl 1216.11075
Guillera, Jesús; Sondow, Jonathan
2008
Divisibility of certain partition functions by powers of primes. Zbl 0907.11036
Gordon, Basil; Ono, Ken
1997
Explicit estimates of some functions over primes. Zbl 1426.11088
Dusart, Pierre
2018
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
2010
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
2003
The Arakawa-Kaneko zeta function. Zbl 1230.11106
Coppo, Marc-Antoine; Candelpergher, Bernard
2010
Inequalities and infinite product formula for Ramanujan generalized modular equation function. Zbl 1444.11058
Wang, Miao-Kun; Li, Yong-Min; Chu, Yu-Ming
2018
Multiple $$q$$-zeta functions and multiple $$q$$-polylogarithms. Zbl 1200.11065
Zhao, Jianqiang
2007
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C.
2002
Identities for the harmonic numbers and binomial coefficients. Zbl 1234.11022
Sofo, Anthony; Srivastava, H. M.
2011
Some systems of multivariable orthogonal $$q$$-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
2007
The evaluation of character Euler double sums. Zbl 1241.11108
Borwein, J. M.; Zucker, I. J.; Boersma, J.
2008
Lecture hall partitions. Zbl 0909.05008
Bousquet-Mélou, Mireille; Eriksson, Kimmo
1997
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
2003
Arithmetic of the 13-regular partition function modulo 3. Zbl 1252.11086
Webb, John J.
2011
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
2015
Some classes of completely monotonic functions. II. Zbl 1110.26015
Alzer, Horst; Berg, Christian
2006
Arithmetic properties of partitions with odd parts distinct. Zbl 1209.05016
Hirschhorn, Michael D.; Sellers, James A.
2010
Congruences for $$\ell$$-regular partition functions modulo 3. Zbl 1252.11083
Furcy, David; Penniston, David
2012
Generators of some Ramanujan formulas. Zbl 1109.33029
Guillera, Jesús
2006
Analogues of Ramanujan’s partition identities. Zbl 1281.11092
Xia, Ernest X. W.; Yao, Olivia X. M.
2013
On Kemnitz’ conjecture concerning lattice-points in the plane. Zbl 1126.11011
Reiher, Christian
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
2012
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
2000
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators. Zbl 1166.17009
Capparelli, S.; Lepowsky, J.; Milas, A.
2006
On modular forms arising from a differential equation of hypergeometric type. Zbl 1050.11047
Kaneko, Masanobu; Koike, Masao
2003
An elementary approach to $$6j$$-symbols (classical, quantum, rational, trigonometric, and elliptic). Zbl 1125.33015
Rosengren, Hjalmar
2007
Hypergeometric identities for 10 extended Ramanujan-type series. Zbl 1142.33002
Guillera, Jesús
2008
$$l$$-divisibility of $$l$$-regular partition functions. Zbl 1195.11140
Dandurand, Brian; Penniston, David
2009
Multiple zeta values at non-positive integers. Zbl 1002.11069
Akiyama, Shigeki; Tanigawa, Yoshio
2001
On Borcherds products associated with lattices of prime discriminant. Zbl 1130.11317
Bruinier, Jan Hendrik; Bundschuh, Michael
2003
Precise estimates for the solution of Ramanujan’s generalized modular equation. Zbl 1456.11047
Wang, Miao-Kun; Chu, Yu-Ming; Zhang, Wen
2019
On some integrals involving the Hurwitz zeta function. I. Zbl 1019.33001
Espinosa, Olivier; Moll, Victor H.
2002
Parity results for 9-regular partitions. Zbl 1308.11093
Xia, Ernest X. W.; Yao, Olivia X. M.
2014
Limits of elliptic hypergeometric integrals. Zbl 1178.33021
Rains, Eric M.
2009
Explicit evaluation of Euler and related sums. Zbl 1115.11052
Choi, Junesang; Srivastava, H. M.
2005
On some integrals involving the Hurwitz zeta function. II. Zbl 1156.11333
Espinosa, Olivier; Moll, Victor H.
2002
Jagged partitions. Zbl 1079.05003
Fortin, J.-F.; Jacob, P.; Mathieu, P.
2005
The multiple gamma function and its application to computation of series. Zbl 1088.33014
2005
A formula for a quartic integral: a survey of old proofs and some new ones. Zbl 1178.33002
Amdeberhan, Tewodros; Moll, Victor H.
2009
Harmonic number identities via the Newton-Andrews method. Zbl 1306.05005
Wang, Weiping; Jia, Cangzhi
2014
New $$_{5}F_{4}$$ hypergeometric transformations, three-variable Mahler measures, and formulas for $$1/ \pi$$. Zbl 1226.11113
Rogers, Mathew D.
2009
Spin Leonard pairs. Zbl 1118.05101
Curtin, Brian
2007
An expansion formula for $$q$$-series and applications. Zbl 1044.05012
Liu, Zhi-Guo
2002
Statistical properties of friable integers. (Propriétés statistiques des entiers friables.) Zbl 1152.11040
de la Bretèche, Régis; Tenenbaum, Gérald
2005
Partial theta functions and mock modular forms as $$q$$-hypergeometric series. Zbl 1283.11077
Bringmann, Kathrin; Folsom, Amanda; Rhoades, Robert C.
2012
A family of shifted harmonic sums. Zbl 1312.05014
Sofo, Anthony; Srivastava, H. M.
2015
Quintic and septic Eisenstein series. Zbl 1259.11046
Cooper, Shaun; Toh, Pee Choon
2009
Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin. Zbl 0917.11043
Ramanujan, Srinivasa
1997
Congruences for 9-regular partitions modulo 3. Zbl 1360.11105
Keith, William J.
2014
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
2015
Supercongruences for the Catalan-Larcombe-French numbers. Zbl 1218.11025
Jarvis, Frazer; Verrill, Helena A.
2010
Congruences modulo 9 and 27 for overpartitions. Zbl 1422.11214
Xia, Ernest X. W.
2017
Values of Dirichlet $$L$$-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
2011
Convolution structure associated with the Jacobi-Dunkl operator on $$\mathbb R$$. Zbl 1122.44002
Salem, N. Ben; Salem, A. Ould Ahmed
2006
Ramanujan sums as supercharacters. Zbl 1368.11090
Fowler, Christopher F.; Garcia, Stephan Ramon; Karaali, Gizem
2014
Hypergeometric series, modular linear differential equations and vector-valued modular forms. Zbl 1418.11064
Franc, Cameron; Mason, Geoffrey
2016
On relations for the multiple $$q$$-zeta values. Zbl 1211.11099
Okuda, Jun-ichi; Takeyama, Yoshihiro
2007
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
2002
Ramanujan’s master theorem. Zbl 1258.33001
Amdeberhan, Tewodros; Espinosa, Olivier; Gonzalez, Ivan; Harrison, Marshall; Moll, Victor H.; Straub, Armin
2012
The basic bilateral hypergeometric series and the mock theta functions. Zbl 1225.33019
Choi, Youn-Seo
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
2017
Multidimensional matrix inversions and $$A_r$$ and $$D_r$$ basic hypergeometric series. Zbl 0934.33006
Schlosser, Michael
1997
Lecture hall partitions. II. Zbl 0909.05009
Bousquet-Mélou, Mireille; Eriksson, Kimmo
1997
Some arithmetic properties of short random walk integrals. Zbl 1233.60024
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James
2011
A new class of identities involving Cauchy numbers, harmonic numbers and zeta values. Zbl 1276.11148
Candelpergher, Bernard; Coppo, Marc-Antoine
2012
Short proofs of the elliptic beta integrals. Zbl 1118.33008
Spiridonov, V. P.
2007
An extension of Vietoris’s inequalities. Zbl 1138.42002
Koumandos, Stamatis
2007
$$q$$-Selberg integrals and Macdonald polynomials. Zbl 1086.33018
Warnaar, S. Ole
2005
Eisenstein series and Ramanujan-type series for $$1 / \pi$$. Zbl 1204.33005
Baruah, Nayandeep Deka; Berndt, Bruce C.
2010
Joint universality for dependent $$L$$-functions. Zbl 1440.11165
Pańkowski, Łukasz
2018
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
2011
On the expansion of Ramanujan’s continued fraction. Zbl 0924.11005
Hirschhorn, Michael D.
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
2005
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
2010
Infinite families of strange partition congruences for broken 2-diamonds. Zbl 1218.05024
2010
Ramanujan-type partial theta identities and conjugate Bailey pairs. Zbl 1322.11107
Lovejoy, Jeremy
2012
A $$q$$-series expansion formula and the Askey-Wilson polynomials. Zbl 1433.33011
Liu, Zhi-Guo
2013
Poly-Cauchy numbers with a $$q$$ parameter. Zbl 1270.05010
Komatsu, Takao
2013
Arithmetic properties of bipartitions with even parts distinct. Zbl 1298.05033
Lin, Bernard L. S.
2014
Infinite families of infinite families of congruences for $$k$$-regular partitions. Zbl 1300.11045
Carlson, Rowland; Webb, John J.
2014
On the divisor function and the Riemann zeta-function in short intervals. Zbl 1226.11086
Ivić, Aleksandar
2009
$$q$$-series and $$L$$-functions related to half-derivatives of the Andrews-Gordon identity. Zbl 1114.11039
Hikami, Kazuhiro
2006
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
2011
An algorithmic approach to Ramanujan’s congruences. Zbl 1204.11165
2009
On the Ramanujan-Göllnitz-Gordon continued fraction. Zbl 0905.11008
Chan, Heng Huat; Huang, Sen-Shan
1997
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
2003
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
2012
On three third order mock theta functions and Hecke-type double sums. Zbl 1284.11075
Mortenson, Eric
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
2013
Sums of five, seven and nine squares. Zbl 1050.11044
Cooper, Shaun
2002
The distribution of totients. Zbl 0914.11053
Ford, Kevin
1998
Sums involving the Hurwitz zeta function. Zbl 0989.11043
Kanemitsu, Shigeru; Kumagai, Hiroshi; Yoshimoto, Masami
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
1999
Sums of products of Apostol-Bernoulli numbers. Zbl 1250.11026
Kim, Min-Soo; Hu, Su
2012
On the rational approximation of the sum of the reciprocals of the Fermat numbers. Zbl 1271.11075
Coons, Michael
2013
A generalization of the Pólya-Vinogradov inequality. Zbl 1355.11083
Frolenkov, D. A.; Soundararajan, K.
2013
Goldbach-Linnik type problems on cubes of primes. Zbl 07462097
Zhao, Xiaodong
2022
Trigonometric sums through Ramanujan’s theory of theta functions. Zbl 1483.11168
Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V.
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
2022
Self-conjugate $$(s,s+d,\dots ,s+pd)$$-core partitions and free Motzkin paths. Zbl 1485.05007
Cho, Hyunsoo; Huh, JiSun
2022
On primes and practical numbers. Zbl 07490456
Pomerance, Carl; Weingartner, Andreas
2022
On $$L$$-functions of modular elliptic curves and certain $$K3$$ surfaces. Zbl 07490457
Amir, Malik; Hong, Letong
2022
Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. Zbl 07490463
Garcia, Stephan Ramon; Lee, Ethan Simpson
2022
Projections of modular forms on Eisenstein series and its application to Siegel’s formula. Zbl 1483.11073
Aygin, Zafer Selcuk
2022
Voronoi summation formula for Gaussian integers. Zbl 07462098
Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel
2022
On small sets of integers. Zbl 1484.11028
Leonetti, Paolo; Tringali, Salvatore
2022
Properties of the Appell-Lerch function (I). Zbl 07462100
2022
On sums of coefficients of polynomials related to the Borwein conjectures. Zbl 1489.11160
Goswami, Ankush; Pantangi, Venkata Raghu Tej
2022
Certain eta-quotients and $$\ell$$-regular overpartitions. Zbl 1489.11162
Ray, Chiranjit; Chakraborty, Kalyan
2022
Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127
Chern, Shane
2022
Uniqueness of Fourier coefficients of eigenforms. Zbl 1486.11061
Xue, Hui; Zhu, Daozhou
2022
Highly composite numbers and the Riemann hypothesis. Zbl 07472661
Nicolas, Jean-Louis
2022
Automorphic Schwarzian equations and integrals of weight 2 forms. Zbl 07472662
Saber, Hicham; Sebbar, Abdellah
2022
Transcendency of some constants related to integer sequences of polynomial iterations. Zbl 1485.11110
Dubickas, Artūras
2022
On sets containing no geometric progression with integer ratio. Zbl 07472665
Fang, Jin-Hui
2022
An efficient determination of the coefficients in the Chudnovskys’ series for $$1/ \pi$$. Zbl 1489.11061
Milla, Lorenz
2022
Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry. Zbl 07540794
Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron
2022
Linear inequalities concerning partitions into distinct parts. Zbl 07543022
Merca, Mircea
2022
Bounds for the generalized Marcum function of the second kind. Zbl 07510922
Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Vijesh, V. Antony
2022
The dual form of Beck type identities. Zbl 07510929
Li, Runqiao; Wang, Andrew Y. Z.
2022
Results on vanishing coefficients in infinite $$q$$-series expansions for certain arithmetic progressions mod 7. Zbl 07510936
Kaur, Mandeep; Vandna
2022
The 5-dissections of two infinite product expansions. Zbl 1466.33012
Dou, Donna Q. J.; Xiao, Jiejuan
2021
On supercongruences for truncated sums of squares of basic hypergeometric series. Zbl 1473.11002
El Bachraoui, Mohamed
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
2021
Coefficient estimates for a certain family of analytic functions involving a $$q$$-derivative operator. Zbl 1462.30039
2021
An analog of the Dougall formula and of the de Branges-Wilson integral. Zbl 1467.33009
Neretin, Yury A.
2021
On the zeros of certain composite polynomials and an operator preserving inequalities. Zbl 1462.30013
Rather, N. A.; Dar, Ishfaq; Gulzar, Suhail
2021
Asymptotic equidistribution and convexity for partition ranks. Zbl 1468.11214
Males, Joshua
2021
Discrete Kontorovich-Lebedev transforms. Zbl 1476.44005
Yakubovich, Semyon
2021
New infinite $$q$$-product expansions with vanishing coefficients. Zbl 07369454
Mc Laughlin, James
2021
Some exceptional sets of Borel-Bernstein theorem in continued fractions. Zbl 1481.11078
Fang, Lulu; Ma, Jihua; Song, Kunkun
2021
Asymptotics of Nahm sums at roots of unity. Zbl 1479.57031
Garoufalidis, Stavros; Zagier, Don
2021
Weighted Erdős-Kac theorem in short intervals. Zbl 1469.11388
Liu, Kui; Wu, Jie
2021
Counting self-conjugate $$(s,s+1,s+2)$$-core partitions. Zbl 1462.05018
Cho, Hyunsoo; Huh, JiSun; Sohn, Jaebum
2021
Variations around a general quantum operator. Zbl 1476.33015
Cardoso, J. L.
2021
Hidden $$q$$-analogues of Ramanujan-like $$\pi$$-series. Zbl 1476.33011
Chen, Xiaojing; Chu, Wenchang
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
2021
Three-variable Mahler measures and special values of $$L$$-functions of modular forms. Zbl 1468.11221
Guo, Xuejun; Peng, Yuzhen; Qin, Hourong
2021
On variants of symmetric multiple zeta-star values and the cyclic sum formula. Zbl 1485.11131
Hirose, Minoru; Murahara, Hideki; Ono, Masataka
2021
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. Zbl 1481.11020
2021
On two conjectural supercongruences of Z.-W. Sun. Zbl 07438419
Wang, Chen
2021
On minimal complements in groups. Zbl 1481.11012
Biswas, Arindam; Saha, Jyoti Prakash
2021
Asymptotics for the Taylor coefficients of certain infinite products. Zbl 1482.11136
Chern, Shane
2021
Sets of values of equivalent almost periodic functions. Zbl 1477.42009
Sepulcre, J. M.; Vidal, T.
2021
The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms. Zbl 1469.11102
Kumari, Moni; Sengupta, Jyoti
2021
Exact expansions of Hankel transforms and related integrals. Zbl 1470.44006
Kisselev, A. V.
2021
Inequalities for the overpartition function. Zbl 1462.05031
Liu, Edward Y. S.; Zhang, Helen W. J.
2021
On a binary Diophantine inequality involving prime numbers. Zbl 1469.11398
Li, Sanhua; Cai, Yingchun
2021
Arboretum for a generalisation of Ramanujan polynomials. Zbl 1462.05037
Randazzo, Lucas
2021
On Siegel invariants of certain CM-fields. Zbl 1469.11441
Koo, Ja Kyung; Robert, Gilles; Shin, Dong Hwa; Yoon, Dong Sung
2021
Integrals of inverse trigonometric and polylogarithmic functions. Zbl 1477.33007
Sofo, Anthony
2021
Modularity of Galois traces of ray class invariants. Zbl 1469.11101
Jung, Ho Yun; Kim, Chang Heon
2021
Some results concerning partitions with designated summands. Zbl 1468.11215
Chern, Shane; Hirschhorn, Michael D.
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
2021
Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two. Zbl 1469.11115
Gun, Sanoli; Kohnen, Winfried; Paul, Biplab
2021
Explicit congruences modulo 2048 for overpartitions. Zbl 1468.11217
Xue, Fanggang; Yao, Olivia X. M.
2021
$$H_q$$-semiclassical orthogonal polynomials via polynomial mappings. Zbl 1462.42043
Castillo, K.; de Jesus, M. N.; Marcellán, F.; Petronilho, J.
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.
2021
Zeros of polynomials with four-term recurrence and linear coefficients. Zbl 1469.30014
Tran, Khang; Zumba, Andres
2021
Positive alternating sums of integer partitions. Zbl 1479.05023
El Bachraoui, Mohamed
2021
1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5. Zbl 1479.11179
Chern, Shane
2021
The first moment of Maaß form symmetric square $$L$$-functions. Zbl 1477.11092
Balkanova, Olga
2021
Polygonal numbers and Rogers-Ramanujan-Gordon theorem. Zbl 1485.11147
Merca, Mircea
2021
On 5- and 10-dissections for some infinite products. Zbl 1478.11067
Tang, Dazhao
2021
The divisor function on residue classes. III. Zbl 1482.11131
Pongsriiam, Prapanpong; Vaughan, Robert C.
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.
2021
A note on an inequality of Paul Turán concerning polynomials. Zbl 1482.30015
Mir, Abdullah
2021
Sextic reciprocal monogenic dihedral polynomials. Zbl 1487.11095
Jones, Lenny
2021
An inequality for the modified Selberg zeta-function. Zbl 1475.30001
Belovas, Igoris
2021
The Ramanujan sum and Chebotarev densities. Zbl 1469.11373
Wang, Biao
2021
Some remarks on Kida’s formula when $$\mu\neq 0$$. Zbl 1483.11244
Lim, Meng Fai
2021
A $$\mathrm{GL}_3$$ analog of Selberg’s result on $$S(t)$$. Zbl 1477.11091
Liu, Sheng-Chi; Liu, Shenhui
2021
An Erdős-Fuchs theorem for ordered representation functions. Zbl 07420090
Cao-Labora, Gonzalo; Rué, Juanjo; Spiegel, Christoph
2021
On class numbers of pure quartic fields. Zbl 1487.11103
Li, Jianing; Xu, Yue
2021
$$q$$-analogues of three Ramanujan-type formulas for $$1/\pi$$. Zbl 1468.11066
Guo, Victor J. W.
2020
$$q$$-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
2020
Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients. Zbl 1444.33005
Wang, Xiaoyuan; Chu, Wenchang
2020
The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Zbl 1444.39007
Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei
2020
Some results on vanishing coefficients in infinite product expansions. Zbl 1476.33010
Baruah, Nayandeep Deka; Kaur, Mandeep
2020
On a Diophantine inequality involving prime numbers. Zbl 1444.11051
Li, Sanhua; Cai, Yingchun
2020
Little and big $$q$$-Jacobi polynomials and the Askey-Wilson algebra. Zbl 1436.81070
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei
2020
Partition implications of a three-parameter $$q$$-series identity. Zbl 1445.11114
Dixit, Atul; Maji, Bibekananda
2020
Several $$q$$-series related to Ramanujan’s theta functions. Zbl 1467.33013
Tang, Dazhao; Xia, Ernest. X. W.
2020
Cubic partitions modulo powers of 5. Zbl 1450.11109
Hirschhorn, Michael D.
2020
A general method for proving the non-trivial linear homogeneous partition inequalities. Zbl 1434.05014
Merca, Mircea; Katriel, Jacob
2020
Universal sums of generalized pentagonal numbers. Zbl 1458.11061
Ju, Jangwon
2020
A method for proving Ramanujan’s series for $$1/\pi$$. Zbl 1440.33019
Guillera, Jesús
2020
Geometric and monotonic properties of hyper-Bessel functions. Zbl 1481.30004
Aktaş, İbrahim; Baricz, Árpád; Singh, Sanjeev
2020
Categories of two-colored pair partitions. I: Categories indexed by cyclic groups. Zbl 1484.46076
Mang, Alexander; Weber, Moritz
2020
Multiple zeta values for classical special functions. Zbl 1439.11224
Wakhare, Tanay; Vignat, Christophe
2020
The Taylor coefficients of the Jacobi theta constant $$\theta_3$$. Zbl 1460.11053
Romik, Dan
2020
A generalization of Arai-Carlitz’s identity. Zbl 1468.11219
Wang, Yujie; Ji, Chungang
2020
Diophantine approximation with one prime, two squares of primes and powers of two. Zbl 1452.11035
Liu, Huafeng
2020
On the computation and verification of $$\pi$$ using BBP-type formulas. Zbl 07173683
Takahashi, Daisuke
2020
Factorization theorems for generalized Lambert series and applications. Zbl 1458.11008
Merca, Mircea; Schmidt, Maxie D.
2020
The Burgess bound via a trivial delta method. Zbl 1469.11123
Aggarwal, Keshav; Holowinsky, Roman; Lin, Yongxiao; Sun, Qingfeng
2020
...and 1202 more Documents
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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 ...and 4,259 more Authors
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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 98 Advances in Difference Equations 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 67 Discrete Mathematics 66 Annals of Combinatorics 63 Journal of Inequalities and Applications 59 Bulletin of the Australian Mathematical Society 59 Transactions of the American Mathematical Society 54 Functiones et Approximatio. Commentarii Mathematici 52 Applied Mathematics and Computation 50 Mathematics of Computation 50 Results in Mathematics 49 Linear Algebra and its Applications 49 Journal of Difference Equations and Applications 47 Rocky Mountain Journal of Mathematics 47 Acta Arithmetica 44 Journal de Théorie des Nombres de Bordeaux 41 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 40 Journal of High Energy Physics 39 The Electronic Journal of Combinatorics 38 Monatshefte für Mathematik 38 European Journal of Combinatorics 35 Journal of Approximation Theory 35 Mathematische Zeitschrift 35 Mediterranean Journal of Mathematics 35 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 34 Journal of Algebra 32 Open Mathematics 31 Archiv der Mathematik 31 Research in the Mathematical Sciences 30 Abstract and Applied Analysis 29 Journal of Mathematical Physics 29 Letters in Mathematical Physics 29 Indagationes Mathematicae. New Series 26 Nuclear Physics. B 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Computational Methods and Function Theory 25 Acta Mathematica Hungarica 24 Mathematische Annalen 24 Forum Mathematicum 24 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 24 Acta Mathematica Sinica. English Series 23 Communications in Mathematical Physics 23 Journal of Symbolic Computation 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Periodica Mathematica Hungarica 21 Duke Mathematical Journal 21 Journal of Computational and Applied Mathematics 21 Journal of Integer Sequences 20 American Mathematical Monthly 20 Lithuanian Mathematical Journal 20 Journal of the Australian Mathematical Society 20 Journal of Mathematical Inequalities 19 Indian Journal of Pure & Applied Mathematics 19 Bulletin of the Korean Mathematical Society 19 AIMS Mathematics 18 Turkish Journal of Mathematics 17 Analysis Mathematica 17 Communications in Algebra 17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 17 Journal of Classical Analysis 17 Journal of Function Spaces 16 Compositio Mathematica 15 Mathematical Notes 15 Journal für die Reine und Angewandte Mathematik 15 Manuscripta Mathematica 15 Mathematica Slovaca 15 Quaestiones Mathematicae 15 Constructive Approximation 15 Journal of the Ramanujan Mathematical Society 15 Journal of Mathematical Sciences (New York) 15 Acta Mathematica Scientia. Series B. (English Edition) 15 Journal of Mathematics 14 Israel Journal of Mathematics 14 Mathematika 14 Journal of Algebraic Combinatorics 14 Finite Fields and their Applications 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 13 Journal of Pure and Applied Algebra 13 Proceedings of the Japan Academy. Series A 13 Filomat 13 Mathematics 12 Czechoslovak Mathematical Journal 12 Journal of the Korean Mathematical Society 12 Proceedings of the Steklov Institute of Mathematics 11 Experimental Mathematics 11 The Journal of Analysis 11 Selecta Mathematica. New Series ...and 372 more Journals
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### Cited in 60 Fields

 3,701 Number theory (11-XX) 1,475 Special functions (33-XX) 1,343 Combinatorics (05-XX) 539 Functions of a complex variable (30-XX) 332 Difference and functional equations (39-XX) 249 Real functions (26-XX) 189 Algebraic geometry (14-XX) 184 Nonassociative rings and algebras (17-XX) 181 Quantum theory (81-XX) 175 Harmonic analysis on Euclidean spaces (42-XX) 149 Approximations and expansions (41-XX) 146 Group theory and generalizations (20-XX) 141 Ordinary differential equations (34-XX) 115 Linear and multilinear algebra; matrix theory (15-XX) 110 Probability theory and stochastic processes (60-XX) 105 Numerical analysis (65-XX) 99 Sequences, series, summability (40-XX) 64 Computer science (68-XX) 60 Associative rings and algebras (16-XX) 59 Dynamical systems and ergodic theory (37-XX) 57 Integral transforms, operational calculus (44-XX) 56 Topological groups, Lie groups (22-XX) 48 Commutative algebra (13-XX) 48 Statistical mechanics, structure of matter (82-XX) 46 Manifolds and cell complexes (57-XX) 45 Several complex variables and analytic spaces (32-XX) 44 Partial differential equations (35-XX) 44 Operator theory (47-XX) 38 Field theory and polynomials (12-XX) 35 Convex and discrete geometry (52-XX) 32 Information and communication theory, circuits (94-XX) 31 Functional analysis (46-XX) 27 Global analysis, analysis on manifolds (58-XX) 23 Abstract harmonic analysis (43-XX) 19 Measure and integration (28-XX) 19 Relativity and gravitational theory (83-XX) 18 Geometry (51-XX) 17 History and biography (01-XX) 16 Differential geometry (53-XX) 13 Statistics (62-XX) 9 Mathematical logic and foundations (03-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Integral equations (45-XX) 7 General and overarching topics; collections (00-XX) 7 Category theory; homological algebra (18-XX) 6 $$K$$-theory (19-XX) 6 Potential theory (31-XX) 6 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic topology (55-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 3 Mathematics education (97-XX) 2 Biology and other natural sciences (92-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)