## International Journal of Number Theory

 Short Title: Int. J. Number Theory Publisher: World Scientific, Singapore ISSN: 1793-0421; 1793-7310/e Online: https://www.worldscientific.com/loi/ijnt Comments: Indexed cover-to-cover
 Documents Indexed: 1,966 Publications (since 2005) References Indexed: 1,961 Publications with 30,406 References.
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### Latest Issues

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### Authors

 30 Luca, Florian 15 Sun, Zhihong 15 Williams, Kenneth S. 14 Girstmair, Kurt 13 Murty, Maruti Ram 12 Alaca, Ayşe 12 Alaca, Şaban 12 Xia, Ernest X. W. 11 Guo, Victor J. W. 11 Shparlinski, Igor E. 11 Zaharescu, Alexandru 10 Baruah, Nayandeep Deka 8 Bremner, Andrew 8 Chan, Tsz Ho 8 Kim, Byungchan 8 Ulas, Maciej 7 Barman, Rupam 7 Choudhry, Ajai 7 Eie, Minking 7 Li, Jinjiang 7 Sanna, Carlo 7 Sun, Zhi-Wei 7 Walling, Lynne H. 7 Yao, Olivia Xiang Mei 7 Zhai, Wenguang 6 Alkan, Emre 6 Andrews, George Eyre 6 Baier, Stephan 6 Baoulina, Ioulia N. 6 Berndt, Bruce Carl 6 Chen, Yonggao 6 Chern, Shane 6 Cooper, Shaun 6 Cui, Su-Ping 6 Kohnen, Winfried 6 Laishram, Shanta 6 Liu, Zhi-Guo 6 Liu, Zhixin 6 Lovejoy, Jeremy 6 Moll, Victor Hugo 6 Pollack, Paul 6 Skałba, Mariusz 6 Vignat, Christophe 6 Zhang, Min 5 Azizi, Abdelmalek 5 Bugeaud, Yann 5 Cai, Tianxin 5 Dilcher, Karl 5 Dubickas, Artūras 5 Gu, Nancy Shan Shan 5 Liaw, Wen-Chin 5 Lim, Meng Fai 5 Liu, Huaning 5 Mayer, Daniel C. 5 Murty, Vijaya Kumar 5 Nathanson, Melvyn Bernard 5 Oh, Byeong-Kweon 5 Ong, Yaolin 5 Perucca, Antonella 5 Ramakrishnan, Balakrishnan 5 Rouse, Jeremy A. 5 Saad Eddin, Sumaia 5 Sellers, James Allen 5 Väänänen, Keijo O. 5 Vulakh, L. Ya. 5 Wang, Liuquan 5 Ye, Dongxi 4 Akbary, Amir 4 Bennett, Michael A. 4 Bordellès, Olivier 4 Bringmann, Kathrin 4 Bundschuh, Peter 4 Chen, Shichao 4 Chu, Wenchang 4 Dai, Haobo 4 Filaseta, Michael A. 4 Flicker, Yuval Z. 4 Fu, Ruiqin 4 Hamahata, Yoshinori 4 Harrington, Joshua 4 Hassen, Abdul 4 Hong, Shaofang 4 Jiu, Lin 4 Ju, Jangwon 4 Khuri-Makdisi, Kamal 4 Knopp, Marvin Isadore 4 Köklüce, Bülent 4 Komatsu, Takao 4 Lengyel, Tamás 4 Li, Yuanlin 4 Lin, Bernard L. S. 4 Liu, Jicai 4 Lu, Guangshi 4 Mao, Guo-Shuai 4 Mason, Geoffrey 4 Meher, Jaban 4 Moree, Pieter 4 Nebe, Gabriele 4 Nguyêñ Hiêú Duc 4 Peng, Jiangtao ...and 2,023 more Authors
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### Fields

 1,924 Number theory (11-XX) 205 Combinatorics (05-XX) 134 Algebraic geometry (14-XX) 130 Special functions (33-XX) 61 Group theory and generalizations (20-XX) 47 Field theory and polynomials (12-XX) 34 Dynamical systems and ergodic theory (37-XX) 27 Topological groups, Lie groups (22-XX) 27 Functions of a complex variable (30-XX) 23 Commutative algebra (13-XX) 17 Measure and integration (28-XX) 11 Approximations and expansions (41-XX) 11 Information and communication theory, circuits (94-XX) 10 Associative rings and algebras (16-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Nonassociative rings and algebras (17-XX) 9 Real functions (26-XX) 7 $$K$$-theory (19-XX) 7 Sequences, series, summability (40-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 5 Convex and discrete geometry (52-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

1,350 Publications have been cited 6,123 times in 4,583 Documents Cited by Year
More on the sum-product phenomenon in prime fields and its applications. Zbl 1173.11310
Bourgain, J.
2005
Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008
Chan, Hei-Chi
2010
Wolstenholme type theorem for multiple harmonic sums. Zbl 1218.11005
Zhao, Jianqiang
2008
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
2015
Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111
Chan, Hei-Chi
2010
Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153
Garvan, F. G.
2010
Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027
Royer, Emmanuel
2007
On some new congruences for binomial coefficients. Zbl 1247.11027
Sun, Zhiwei; Tauraso, Roberto
2011
Vector-valued modular forms and linear differential operators. Zbl 1197.11054
Mason, Geoffrey
2007
The quintuple product identity. Zbl 1159.33300
Cooper, Shaun
2006
Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010
Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A.
2015
Arithmetic of $$l$$-regular partition functions. Zbl 1221.11208
Penniston, David
2008
Rank and congruences for overpartition pairs. Zbl 1221.11206
Bringmann, Kathrin; Lovejoy, Jeremy
2008
The first negative Hecke eigenvalue. Zbl 1219.11066
Iwaniec, H.; Kohnen, W.; Sengupta, J.
2007
Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168
2011
$$q$$-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043
Gorodetsky, Ofir
2019
On multiple zeta values of even arguments. Zbl 1416.11132
Hoffman, Michael E.
2017
The convolution sum $$\sum_{m<n/9}\sigma(m)\sigma(n-9m)$$. Zbl 1082.11003
Williams, Kenneth S.
2005
Extending Gaussian hypergeometric series to the $$p$$-adic setting. Zbl 1253.33024
McCarthy, Dermot
2012
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
2010
Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049
Hassen, Abdul; Nguyen, Hieu D.
2008
New congruences for Andrews’ singular overpartitions. Zbl 1391.11143
Ahmed, Zakir; Baruah, Nayandeep Deka
2015
Iwasawa theory and $$p$$-adic $$L$$-functions over $$\mathbb{Z}_p^2$$-extensions. Zbl 1314.11066
Loeffler, David; Zerbes, Sarah Livia
2014
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
2006
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
2011
The Diophantine equation $$A^4 + 2^{\delta }B^2 = C^n$$. Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
2010
On a conjectured $$q$$-congruence of Guo and Zeng. Zbl 1428.11041
Ni, He-Xia; Pan, Hao
2018
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
2005
Hypergeometric zeta functions. Zbl 1245.11098
Hassen, Abdul; Nguyen, Hieu D.
2010
On the beta-expansion of 1 in the formal power series field. (Sur le bêta-développement de 1 dans le corps des séries formelles.) Zbl 1157.11004
Hbaib, M.; Mkaouar, M.
2006
A polynomial analogue to the Stern sequence. Zbl 1117.11017
Dilcher, Karl; Stolarsky, Kenneth B.
2007
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
2008
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
2012
Evaluation of the convolution sums $$\sum_{l+15m=n}\sigma (l)\sigma (m)$$ and $$\sum_{3l+5m=n}\sigma (l)\sigma (m)$$ and an application. Zbl 1273.11012
Ramakrishnan, B.; Sahu, Brundaban
2013
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for any prime $$p\equiv 3(\mathrm{mod}4)$$. Zbl 1469.11006
Wang, Xiaoxia; Yue, Mingbing
2020
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
2010
Power integral bases for certain pure sextic fields. Zbl 1316.11094
2014
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
2013
Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014
Chu, Wenchang; Zheng, Deyin
2009
Arithmetic properties of $$l$$-regular overpartitions. Zbl 1337.05010
Shen, Erin Y. Y.
2016
On the $$q$$-derivative and $$q$$-series expansions. Zbl 1284.05040
Liu, Zhi-Guo
2013
Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058
Wang, Liuquan
2016
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2009
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
2008
Explicit evaluation of quadratic Euler sums. Zbl 1416.11131
Xu, Ce; Yang, Yingyue; Zhang, Jianwen
2017
A proof of Keith’s conjecture for $$9$$-regular partitions modulo $$3$$. Zbl 1286.11169
Xia, Ernest X. W.; Yao, Olivia X. M.
2014
Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
2008
The Burgess inequality and the least $$k$$th power non-residue. Zbl 1377.11091
Treviño, Enrique
2015
On the maximal length of consecutive zero digits of $$\beta$$-expansions. Zbl 1337.11053
Tong, Xin; Yu, Yueli; Zhao, Yanfen
2016
On some combinatorial identities and harmonic sums. Zbl 1376.11065
Batir, Necdet
2017
Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138
Vega, M. Valentina
2011
On the largest prime factor of the $$k$$-Fibonacci numbers. Zbl 1292.11034
Bravo, Jhon J.; Luca, Florian
2013
Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
2011
A survey of Ramanujan expansions. Zbl 1222.11003
Lucht, Lutz G.
2010
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
2005
Fourier series of a class of eta quotients. Zbl 1252.11043
Williams, Kenneth S.
2012
Torsion points on elliptic curves with complex multiplication (With an appendix by Alex Rice). Zbl 1272.11075
Clark, Pete L.; Cook, Brian; Stankewicz, James
2013
Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061
Miller, Alison; Pixton, Aaron
2010
Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194
Harman, Glyn
2008
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
2019
Another generalization of Menon’s identity. Zbl 1392.11004
Zhao, Xiao-Peng; Cao, Zhen-Fu
2017
Generalized harmonic numbers and Euler sums. Zbl 1398.11115
Chen, Kwang-Wu
2017
Weber’s class number problem in the cyclotomic $$\mathbb Z_{2}$$-extension of $$\mathbb Q$$. III. Zbl 1226.11119
Fukuda, Takashi; Komatsu, Keiichi
2011
On a kind of duality of multiple zeta-star values. Zbl 1221.11184
Kaneko, Masanobu; Ohno, Yasuo
2010
On the Diophantine equation $$x^2+2^a\cdot 5^b=y^n$$. Zbl 1231.11041
Luca, Florian; Togbé, Alain
2008
Ramanujan congruences for a class of eta quotients. Zbl 1205.11112
Sinick, Jonah
2010
A short note on Fourier coefficients of half-integral weight modular forms. Zbl 1210.11054
Kohnen, Winfried
2010
Congruences related to modular forms. Zbl 1209.11047
Verrill, H. A.
2010
Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076
Candelori, Luca; Franc, Cameron
2017
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
2019
The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065
Pasten, Hector
2015
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
2017
A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063
Lovejoy, Jeremy
2005
Gauss summation and Ramanujan-type series for $$1/\pi$$. Zbl 1241.33005
Liu, Zhi-Guo
2012
Zeros of weakly holomorphic modular forms of level $$4$$. Zbl 1286.11053
2014
New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011
Lin, Bernard L. S.
2014
Minimal zero-sum sequences of length four over finite cyclic groups. II. Zbl 1286.11016
Li, Yuanlin; Peng, Jiangtao
2013
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.; Mays, M. E.
2005
Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013
Sills, Andrew V.
2007
Multiplicative order of Gauss periods. Zbl 1201.11110
Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe
2010
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
2010
Menon-type identities concerning Dirichlet characters. Zbl 1421.11010
Tóth, László
2018
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
2014
Evaluation of the convolution sums
$$\sum_{l+20m=n} \sigma(l)\sigma(m)$$, $$\sum_{4l+5m=n} \sigma(l)\sigma(m)$$ and $$\sum_{2l+5m=n} \sigma(l)\sigma(m)$$.
Zbl 1318.11002
Cooper, Shaun; Ye, Dongxi
2014
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
2015
Two congruences involving harmonic numbers with applications. Zbl 1408.11011
Mao, Guo-Shuai; Sun, Zhi-Wei
2016
Density of two squares of primes and powers of 2. Zbl 1237.11042
Liu, Zhixin; Lü, Guangshi
2011
Combinatorial proof of one congruence for the broken 1-diamond partition and a generalization. Zbl 1225.11130
Fu, Shishuo
2011
On numbers $$n$$ dividing the $$n$$th term of a Lucas sequence. Zbl 1416.11029
Sanna, Carlo
2017
Local monodromy of $$p$$-adic differential equations: an overview. Zbl 1107.12005
Kedlaya, Kiran S.
2005
Problems in additive number theory. IV: Nets in groups and shortest length $$g$$-adic representations. Zbl 1252.11007
Nathanson, Melvyn B.
2011
Two congruences for Appell-Lerch sums. Zbl 1252.11081
Chan, Song Heng; Mao, Renrong
2012
Explicit zero-free regions for Dedekind zeta functions. Zbl 1279.11110
2012
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
2012
The number of representations of a positive integer by certain quaternary quadratic forms. Zbl 1221.11097
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
2009
Special values of the polygamma functions. Zbl 1189.11039
2009
On the least quadratic non-residue. Zbl 1172.11030
Lau, Yuk-Kam; Wu, Jie
2008
A remark on the $$\mathfrak{M}_{H}(G)$$-conjecture and Akashi series. Zbl 1319.11073
Lim, Meng Fai
2015
On the Riemann hypothesis and the difference between primes. Zbl 1317.11095
2015
A further $$q$$-analogue of Van Hamme’s (H.2) supercongruence for primes $$p\equiv 3 \pmod 4$$. Zbl 1478.33009
Guo, Victor J. W.
2021
Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo $$5, 7, 11$$ and $$13$$. Zbl 1491.11095
Chern, Shane
2022
The equation $$\frac{x_1}{x_2}+\frac{x_2}{x_3}+\frac{x_3}{x_4}+\frac{x_4}{x_1}=n$$. Zbl 07468300
Dofs, Erik; Nguyen Xuan Tho
2022
Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. Zbl 07488466
Lei, Antonio; Lim, Meng Fai
2022
On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 07543090
Delaygue, É.; Rivoal, T.
2022
Quadratic points on non-split Cartan modular curves. Zbl 07488463
Michaud-Rodgers, Philippe
2022
Integer dynamics. Zbl 1490.11014
Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang
2022
The second moment of $$S_n(t)$$ on the Riemann hypothesis. Zbl 1489.11117
2022
A further $$q$$-analogue of Van Hamme’s (H.2) supercongruence for primes $$p\equiv 3 \pmod 4$$. Zbl 1478.33009
Guo, Victor J. W.
2021
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
2021
On monogenity of certain pure number fields defined by $$x^{p^r}-m$$. Zbl 1483.11236
Ben Yakkou, Hamid; El Fadil, Lhoussain
2021
Dimension theory of the product of partial quotients in Lüroth expansions. Zbl 1469.11256
Tan, Bo; Zhou, Qinglong
2021
Combinatorial proof of the minimal excludant theorem. Zbl 07399186
Ballantine, Cristina; Merca, Mircea
2021
Some relations deduced from regularized double shuffle relations of multiple zeta values. Zbl 1483.11186
Li, Zhonghua; Qin, Chen
2021
Polynomials and reciprocals of Eisenstein series. Zbl 1468.11104
Heim, Bernhard; Neuhauser, Markus
2021
On the sum of parts with multiplicity at least $$2$$ in all the partitions of $$n$$. Zbl 1470.11265
Merca, Mircea; Yee, Ae Ja
2021
The degree of Kummer extensions of number fields. Zbl 1476.11135
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
2021
A new subconvex bound for $$\mathrm{GL}(3)$$ $$L$$-functions in the $$t$$-aspect. Zbl 1478.11072
Aggarwal, Keshav
2021
Deformations of certain reducible Galois representations. III. Zbl 1479.11089
Ray, Anwesh
2021
A sum of three nonzero triangular numbers. Zbl 1482.11060
Kim, Daejun; Lee, Jeongwon; Oh, Byeong-Kweon
2021
Non-openness of v-adic Galois representation for a-motives. Zbl 1480.11074
Frantzen, Maike Ella Elisabeth
2021
On the sum of fourth powers in arithmetic progression. Zbl 1475.11051
van Langen, Joey M.
2021
Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136
Mertens, Michael H.; Ono, Ken; Rolen, Larry
2021
On a family of mild functions. Zbl 1468.14101
Van Hille, Siegfried
2021
Oscillations in weighted arithmetic sums. Zbl 1473.11167
Mossinghoff, Michael J.; Trudgian, Timothy S.
2021
Irreducibility of $$\bmod p$$ Galois representations of elliptic curves with multiplicative reduction over number fields. Zbl 1477.11109
Najman, Filip; Ţurcaş, George C.
2021
2-class groups of cyclotomic towers of imaginary biquadratic fields and applications. Zbl 1482.11148
Chems-Eddin, Mohamed Mahmoud; Müller, Katharina
2021
Location of the zeros of certain cuspforms. Zbl 1483.11071
Xue, Hui; Zhu, Daozhou
2021
On the l.c.m. of shifted Fibonacci numbers. Zbl 1484.11060
Sanna, Carlo
2021
Towards the Sato-Tate groups of trinomial hyperelliptic curves. Zbl 1474.11121
Emory, Melissa; Goodson, Heidi; Peyrot, Alexandre
2021
On Pillai’s problem with $$X$$-coordinates of Pell equations and powers of 2. II. Zbl 07410933
Erazo, Harold S.; Gómez, Carlos A.; Luca, Florian
2021
A semi-canonical reduction for periods of Kontsevich-Zagier. Zbl 1467.14040
Viu-Sos, Juan
2021
Recursion formulas for poly-Bernoulli numbers and their applications. Zbl 1478.11028
Ohno, Yasuo; Sasaki, Yoshitaka
2021
Combinatorics of two second-order mock theta functions. Zbl 1466.11074
Burson, Hannah
2021
A mock theta function identity related to the partition rank modulo $$3$$ and $$9$$. Zbl 1478.11118
Chan, Song Heng; Hong, Nankun; Jerry; Lovejoy, Jeremy
2021
Polynomial analogues of restricted multicolor $$b$$-ary partition functions. Zbl 1466.11070
Dilcher, Karl; Ericksen, Larry
2021
On Hurwitz zeta function and Lommel functions. Zbl 1468.11171
Dixit, Atul; Kumar, Rahul
2021
An inequality between finite analogues of rank and crank moments. Zbl 1467.11086
Eyyunni, Pramod; Maji, Bibekananda; Sood, Garima
2021
Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. Zbl 1470.11098
Folsom, Amanda
2021
Proof of a rational Ramanujan-type series for $$1/\pi$$. The fastest one in level 3. Zbl 1461.33009
Guillera, Jesús
2021
A twisted generalization of the classical Dedekind sum. Zbl 1469.11259
2021
Log-concavity results for a biparametric and an elliptic extension of the $$q$$-binomial coefficients. Zbl 1465.05019
Schlosser, Michael J.; Senapati, Koushik; Uncu, Ali K.
2021
Analysis and combinatorics of partition zeta functions. Zbl 1478.11123
Schneider, Robert; Sills, Andrew V.
2021
Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160
2021
Analogues of the Robin-Lagarias criteria for the Riemann hypothesis. Zbl 1472.11236
Washington, Lawrence C.; Yang, Ambrose
2021
On the Iwasawa $$\lambda$$-invariant of the cyclotomic $$\mathbb{Z}_2$$-extension of $$\mathbb{Q}(\sqrt{pq})$$ and the $$2$$-part of the class number of $$\mathbb{Q}(\sqrt{pq},\sqrt{2+\sqrt{2}})$$. Zbl 1468.11224
Kumakawa, Naoki
2021
Conjugates of Pisot numbers. Zbl 1489.11108
Hare, Kevin G.; Sidorov, Nikita
2021
Adelic Voronoï summation and subconvexity for $$\mathrm{GL}(2)$$ $$L$$-functions in the depth aspect. Zbl 1480.11057
Assing, Edgar
2021
Congruences of local origin and automorphic induction. Zbl 1480.11052
Dummigan, Neil; Spencer, David
2021
On the relative Galois structure of powers of the different and Stickelberger ideals. (Sur la structure galoisienne relative de puissances de la différente et idéaux de Stickelberger.) Zbl 1482.11151
Sodaïgui, Bouchaïb
2021
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for any prime $$p\equiv 3(\mathrm{mod}4)$$. Zbl 1469.11006
Wang, Xiaoxia; Yue, Mingbing
2020
On certain sums concerning the gcd’s and lcm’s of $$k$$ positive integers. Zbl 1452.11007
Hilberdink, Titus; Luca, Florian; Tóth, László
2020
An analogue of a formula for Chebotarev densities. Zbl 1456.11176
Wang, Biao
2020
On the problem of Pillai with $$k$$-generalized Fibonacci numbers and powers of $$3$$. Zbl 1446.11025
2020
Quasimodular forms as solutions of modular differential equations. Zbl 1476.11072
Grabner, Peter J.
2020
On the Borwein conjecture. Zbl 1469.11410
Li, Jiyou
2020
Partitions associated with two fifth-order mock theta functions and Beck-type identities. Zbl 1441.05019
Li, Runqiao; Wang, Andrew Y. Z.
2020
Mahler coefficients of $$1$$-Lipschitz measure-preserving functions on $$\mathbb{Z}_p$$. Zbl 1455.11160
Memić, Nacima
2020
Additive uniqueness of PRIMES $$-1$$ for multiplicative functions. Zbl 1460.11008
Park, Poo-Sung
2020
Brahmagupta quadrilaterals with equal perimeters and equal areas. Zbl 1460.11037
Choudhry, Ajai
2020
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
2020
The constant factor in the asymptotic for practical numbers. Zbl 1475.11167
Weingartner, Andreas
2020
Asymptotics and inequalities for partitions into squares. Zbl 1457.11141
Ciolan, Alexandru
2020
Rigid local systems with monodromy group the Conway group $$\mathsf{Co}_2$$. Zbl 1460.11144
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
2020
Eight cubes of primes and 204 powers of 2. Zbl 1470.11257
Zhao, Xiaodong; Ge, Wenxu
2020
Explicit Kummer theory for the rational numbers. Zbl 1480.11140
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
2020
Constructions of vector-valued modular forms of rank four and level one. Zbl 1469.11070
Franc, Cameron; Mason, Geoffrey
2020
Appell’s hypergeometric series over finite fields. Zbl 1440.33012
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam
2020
Non-rational varieties with the Hilbert property. Zbl 1457.14051
Demeio, Julian Lawrence
2020
Fourier coefficients of the overconvergent generalized eigenform associated to a CM form. Zbl 1465.11112
Hsu, Chi-Yun
2020
The smallest invariant factor of the multiplicative group. Zbl 1456.11177
Chang, Ben; Martin, Greg
2020
Good’s theorem for Hurwitz continued fractions. Zbl 1458.11126
Gonzalez Robert, Gerardo
2020
A family of vector-valued quantum modular forms of depth two. Zbl 1442.11089
Males, Joshua
2020
CM-types with large index of degeneracy. Zbl 1440.14211
Kida, Masanari; Yanai, Hiromichi
2020
Generating functions and congruences for some partition functions related to mock theta functions. Zbl 1437.11146
Baruah, Nayandeep Deka; Begum, Nilufar Mana
2020
Norm-compatible systems of cohomology classes for $$\mathrm{GU}(2,2)$$. Zbl 1445.11036
Cauchi, Antonio
2020
Inequalities for the $$d$$th residual Crank moments of overpartitions. Zbl 1445.05014
Al-Saedi, Ali; Morrill, Thomas; Swisher, Holly
2020
A class of maximally singular sets for rational approximation. Zbl 1455.11097
Poëls, Anthony
2020
Mahler coefficients of uniformly differentiable functions modulo $$p$$. Zbl 1444.11237
Memić, Nacima
2020
Ranks of overpartitions modulo $$4$$ and $$8$$. Zbl 1459.11203
Cui, Su-Ping; Gu, Nancy S. S.; Su, Chen-Yang
2020
Asymptotic generalized Fermat’s last theorem over number fields. Zbl 1477.11057
Kara, Yasemin; Ozman, Ekin
2020
The number of equivalence classes arising from partition involutions. Zbl 1440.05032
Huh, JiSun; Kim, Byungchan
2020
Congruences for Apéry numbers $$\beta_n = \sum_{k = 0}^n \binom{n}{k}^2 \binom{n + k}{k}$$. Zbl 1471.11089
Cao, Hui-Qin; Matiyasevich, Yuri; Sun, Zhi-Wei
2020
The average order of the Möbius function for Beurling primes. Zbl 1475.11180
Neamah, Ammar Ali; Hilberdink, Titus W.
2020
Filtrations of units of Viète field. Zbl 1453.11145
Morisawa, Takayuki; Okazaki, Ryotaro
2020
On the error term of a lattice counting problem. II. Zbl 1476.11111
Bordellès, Olivier
2020
On two lattice points problems about the parabola. Zbl 1445.11058
Huang, Jing-Jing; Li, Huixi
2020
A short note on generalized Euler-Briggs constants. Zbl 1445.11070
2020
On the computation of overorders. Zbl 1453.11169
Hofmann, Tommy; Sircana, Carlo
2020
Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. Zbl 1477.11065
Bian, Min; Chern, Shane; Sang, Doris D. M.; Xia, Ernest X. W.
2020
Sixth norm of a Steinhaus chaos. Zbl 1469.11389
Mahatab, Kamalakshya
2020
Torsion of rational elliptic curves over different types of cubic fields. Zbl 07219272
Jeon, Daeyeol; Schweizer, Andreas
2020
On asymptotic behavior of Dirichlet inverse. Zbl 1457.11010
2020
On a conjecture of Lemmermeyer. Zbl 1481.11106
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek
2020
Third-order mock theta functions. Zbl 1457.11021
Hu, Qiuxia; Song, Hanfei; Zhang, Zhizheng
2020
Generalized Vojta-Rémond inequality. Zbl 1460.11094
Dill, Gabriel A.
2020
The arithmetic of vector-valued modular forms on $$\Gamma_0(2)$$. Zbl 1452.11050
Gottesman, Richard
2020
Exponential sum estimates over prime fields. Zbl 1484.11041
Koh, Doowon; Mirzaei, Mozhgan; Pham, Thang; Shen, Chun-Yen
2020
$$p$$-adic multiple $$L$$-functions and cyclotomic multiple harmonic values. Zbl 1452.11105
Furusho, Hidekazu; Jarossay, David
2020
Weierstrass coefficients of the canonical lifting. Zbl 1456.11105
Finotti, Luís R. A.
2020
Small prime solutions to diagonal Diophantine equations. Zbl 1459.11193
Gao, Gaiyun; Liu, Zhixin
2020
...and 1250 more Documents
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### Cited by 3,780 Authors

 48 Guo, Victor J. W. 46 Shparlinski, Igor E. 37 Barman, Rupam 36 Xia, Ernest X. W. 32 Luca, Florian 31 Yao, Olivia Xiang Mei 28 Murty, Maruti Ram 27 Chern, Shane 27 Wang, Liuquan 26 Kim, Byungchan 25 Mahadeva Naika, Megadahalli Sidda 24 Baruah, Nayandeep Deka 23 Komatsu, Takao 22 Bringmann, Kathrin 22 Chu, Wenchang 22 Xu, Ce 21 Lin, Bernard L. S. 21 Pollack, Paul 21 Sun, Zhihong 19 Hong, Shaofang 19 Zaharescu, Alexandru 18 Sun, Zhi-Wei 17 Jones, Lenny K. 17 Mao, Renrong 16 Lim, Meng Fai 16 Osburn, Robert 16 Tang, Dazhao 15 Alkan, Emre 15 Eie, Minking 15 Kim, Chang Heon 15 Kim, Daeyeoul 15 Liu, Jicai 15 Meher, Jaban 15 Sanna, Carlo 15 Togbé, Alain 15 Toh, Pee Choon 14 Azizi, Abdelmalek 14 Cooper, Shaun 14 Dilcher, Karl 14 Gómez, Carlos Alexis 14 Sofo, Anthony 14 Tauraso, Roberto 14 Williams, Kenneth S. 14 Zudilin, Wadim 13 Alaca, Ayşe 13 Alaca, Şaban 13 Kalita, Gautam 13 Lei, Antonio 13 Lovejoy, Jeremy 13 Mao, Guo-Shuai 13 Pan, Hao 13 Saikia, Neelam 13 Tóth, László 13 Wei, Chuanan 12 Gao, Weidong 12 Gun, Sanoli 12 Jennings-Shaffer, Chris 12 Merca, Mircea 12 Pomerance, Carl Bernard 12 Sha, Min 12 Shkredov, Il’ya Dmitrievich 12 Yuan, Pingzhi 11 Choi, Soyoung 11 Dixit, Atul 11 Dubickas, Artūras 11 Girstmair, Kurt 11 Gras, Georges 11 Hirschhorn, Michael D. 11 Kohnen, Winfried 11 Korolëv, Maksim Aleksandrovich 11 Li, Yuanlin 11 Sahu, Brundaban 11 Sellers, James Allen 11 Soydan, Gokhan 11 Straub, Armin 11 Wang, Xiaoxia 11 Wu, Jie 11 Ye, Dongxi 11 Yee, Ae Ja 10 Aygin, Zafer Selçuk 10 Bayad, Abdelmejid 10 Fukshansky, Lenny 10 Garaev, Moubariz Z. 10 Hamahata, Yoshinori 10 Heim, Bernhard Ernst 10 Jeon, Daeyeol 10 Lau, Yuk-Kam 10 Mason, Geoffrey 10 Mc Laughlin, James G. 10 Raji, Wissam 10 Thuswaldner, Jörg Maximilian 10 Walling, Lynne H. 10 Zhai, Wenguang 10 Zhang, Zhizheng 9 Arenas-Carmona, Luis 9 Bandini, Andrea 9 Bennett, Michael A. 9 Chan, Heng Huat 9 Chan, Song Heng 9 Cui, Su-Ping ...and 3,680 more Authors
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### Cited in 389 Journals

 518 Journal of Number Theory 512 International Journal of Number Theory 310 The Ramanujan Journal 108 Proceedings of the American Mathematical Society 103 Acta Arithmetica 77 Research in Number Theory 76 Journal of Mathematical Analysis and Applications 71 Bulletin of the Australian Mathematical Society 71 Integers 69 Finite Fields and their Applications 64 Functiones et Approximatio. Commentarii Mathematici 64 Journal de Théorie des Nombres de Bordeaux 63 Transactions of the American Mathematical Society 54 Monatshefte für Mathematik 51 Mathematische Zeitschrift 50 Advances in Mathematics 48 Rocky Mountain Journal of Mathematics 47 Discrete Mathematics 46 Mathematics of Computation 40 Mathematical Proceedings of the Cambridge Philosophical Society 40 Periodica Mathematica Hungarica 40 Journal of Combinatorial Theory. Series A 37 Archiv der Mathematik 36 Mathematische Annalen 34 Results in Mathematics 34 Advances in Applied Mathematics 34 Research in the Mathematical Sciences 31 Journal of Algebra 28 Acta Mathematica Hungarica 27 Journal of the Ramanujan Mathematical Society 27 The Electronic Journal of Combinatorics 27 Annals of Combinatorics 26 Indian Journal of Pure & Applied Mathematics 26 Mathematika 26 AIMS Mathematics 25 Manuscripta Mathematica 24 Compositio Mathematica 22 Forum Mathematicum 22 Turkish Journal of Mathematics 21 Journal of Difference Equations and Applications 20 Lithuanian Mathematical Journal 20 Journal of the Australian Mathematical Society 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 19 Indagationes Mathematicae. New Series 19 Integral Transforms and Special Functions 19 Journal of Integer Sequences 19 Open Mathematics 18 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 17 Algebra & Number Theory 16 Israel Journal of Mathematics 16 Journal für die Reine und Angewandte Mathematik 16 Acta Mathematica Sinica. English Series 15 Duke Mathematical Journal 15 European Journal of Combinatorics 15 Linear Algebra and its Applications 15 Experimental Mathematics 15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 14 Mathematical Notes 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Journal of Algebra and its Applications 14 Annales Mathématiques du Québec 13 Colloquium Mathematicum 13 Quaestiones Mathematicae 13 Tokyo Journal of Mathematics 13 Taiwanese Journal of Mathematics 12 Annales de l’Institut Fourier 12 Documenta Mathematica 12 Journal of High Energy Physics 12 JP Journal of Algebra, Number Theory and Applications 12 Proceedings of the Steklov Institute of Mathematics 11 Glasgow Mathematical Journal 11 Journal of the Korean Mathematical Society 11 Proceedings of the Japan Academy. Series A 11 Boletín de la Sociedad Matemática Mexicana. Third Series 11 Journal of Inequalities and Applications 11 Journal of the European Mathematical Society (JEMS) 11 Mediterranean Journal of Mathematics 11 Afrika Matematika 10 Czechoslovak Mathematical Journal 10 Inventiones Mathematicae 10 Journal of Pure and Applied Algebra 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Science China. Mathematics 9 Canadian Mathematical Bulletin 9 Bulletin of the Korean Mathematical Society 9 Expositiones Mathematicae 9 Journal of Mathematical Sciences (New York) 9 Fractals 9 Journal of the Institute of Mathematics of Jussieu 9 Advances in Difference Equations 8 Acta Mathematica Vietnamica 8 Journal of the Mathematical Society of Japan 8 Mathematica Slovaca 8 Journal of Symbolic Computation 8 SIAM Journal on Discrete Mathematics 8 International Journal of Mathematics 8 Kyushu Journal of Mathematics 8 Selecta Mathematica. New Series 8 Annals of Mathematics. Second Series ...and 289 more Journals
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### Cited in 55 Fields

 4,234 Number theory (11-XX) 751 Combinatorics (05-XX) 422 Special functions (33-XX) 304 Algebraic geometry (14-XX) 147 Group theory and generalizations (20-XX) 120 Dynamical systems and ergodic theory (37-XX) 119 Field theory and polynomials (12-XX) 65 Topological groups, Lie groups (22-XX) 64 Functions of a complex variable (30-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 59 Measure and integration (28-XX) 55 Probability theory and stochastic processes (60-XX) 51 Information and communication theory, circuits (94-XX) 50 Commutative algebra (13-XX) 43 Computer science (68-XX) 39 Numerical analysis (65-XX) 36 Associative rings and algebras (16-XX) 33 Sequences, series, summability (40-XX) 32 Real functions (26-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 30 Quantum theory (81-XX) 26 Nonassociative rings and algebras (17-XX) 24 Difference and functional equations (39-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Approximations and expansions (41-XX) 19 Ordinary differential equations (34-XX) 17 Mathematical logic and foundations (03-XX) 17 Integral transforms, operational calculus (44-XX) 17 Convex and discrete geometry (52-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 $$K$$-theory (19-XX) 14 Manifolds and cell complexes (57-XX) 13 Geometry (51-XX) 12 Functional analysis (46-XX) 10 Operator theory (47-XX) 10 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 3 Abstract harmonic analysis (43-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Mathematics education (97-XX) 1 Mechanics of particles and systems (70-XX)