# zbMATH — the first resource for mathematics

## 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: 1,824 Publications (since 2005) References Indexed: 1,819 Publications with 27,797 References.
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#### Latest Issues

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#### Authors

 27 Luca, Florian 15 Sun, Zhihong 15 Williams, Kenneth S. 13 Girstmair, Kurt 12 Alaca, Ayşe 12 Alaca, Şaban 12 Murty, Maruti Ram 12 Xia, Ernest X. W. 11 Shparlinski, Igor E. 11 Zaharescu, Alexandru 10 Guo, Victor J. W. 9 Baruah, Nayandeep Deka 8 Bremner, Andrew 8 Chan, Tsz Ho 8 Kim, Byungchan 8 Ulas, Maciej 7 Barman, Rupam 7 Eie, Minking 7 Li, Jinjiang 7 Sun, Zhi-Wei 7 Yao, Olivia Xiang Mei 6 Alkan, Emre 6 Andrews, George Eyre 6 Baier, Stephan 6 Baoulina, Ioulia N. 6 Berndt, Bruce Carl 6 Choudhry, Ajai 6 Cooper, Shaun 6 Cui, Su-Ping 6 Kohnen, Winfried 6 Laishram, Shanta 6 Liu, Zhi-Guo 6 Lovejoy, Jeremy 6 Moll, Victor Hugo 6 Pollack, Paul 6 Skałba, Mariusz 6 Walling, Lynne H. 6 Zhai, Wenguang 6 Zhang, Min 5 Azizi, Abdelmalek 5 Bugeaud, Yann 5 Cai, Tianxin 5 Chen, Yonggao 5 Gu, Nancy Shan Shan 5 Liaw, Wen-Chin 5 Liu, Zhixin 5 Mayer, Daniel C. 5 Murty, Vijaya Kumar 5 Nathanson, Melvyn Bernard 5 Ong, Yaolin 5 Perucca, Antonella 5 Ramakrishnan, Balakrishnan 5 Rouse, Jeremy A. 5 Sanna, Carlo 5 Sellers, James Allen 5 Väänänen, Keijo O. 5 Vignat, Christophe 5 Vulakh, L. Ya. 5 Ye, Dongxi 4 Akbary, Amir 4 Bennett, Michael A. 4 Bringmann, Kathrin 4 Bundschuh, Peter 4 Chen, Shichao 4 Chern, Shane 4 Chu, Wenchang 4 Dai, Haobo 4 Dilcher, Karl 4 Dubickas, Artūras 4 Filaseta, Michael A. 4 Flicker, Yuval Z. 4 Hamahata, Yoshinori 4 Harrington, Joshua 4 Hassen, Abdul 4 Hong, Shaofang 4 Khanduja, Sudesh K. 4 Khuri-Makdisi, Kamal 4 Knopp, Marvin Isadore 4 Köklüce, Bülent 4 Komatsu, Takao 4 Lengyel, Tamás 4 Li, Yuanlin 4 Lim, Meng Fai 4 Lin, Bernard L. S. 4 Liu, Huaning 4 Liu, Jicai 4 Lu, Guangshi 4 Mason, Geoffrey 4 Meher, Jaban 4 Moree, Pieter 4 Nebe, Gabriele 4 Nguyêñ Hiêú Duc 4 Oh, Byeong-Kweon 4 Peng, Jiangtao 4 Pomerance, Carl Bernard 4 Raji, Wissam 4 Saad Eddin, Sumaia 4 Sahu, Brundaban 4 Sankaranarayanan, Ayyadurai 4 Saradha, N. ...and 1,855 more Authors
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#### Fields

 1,784 Number theory (11-XX) 192 Combinatorics (05-XX) 122 Special functions (33-XX) 119 Algebraic geometry (14-XX) 59 Group theory and generalizations (20-XX) 40 Field theory and polynomials (12-XX) 32 Dynamical systems and ergodic theory (37-XX) 27 Topological groups, Lie groups (22-XX) 26 Functions of a complex variable (30-XX) 21 Commutative algebra (13-XX) 14 Measure and integration (28-XX) 10 Associative rings and algebras (16-XX) 10 Approximations and expansions (41-XX) 10 Information and communication theory, circuits (94-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 Numerical analysis (65-XX) 6 Probability theory and stochastic processes (60-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-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 Ordinary differential equations (34-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 Geometry (51-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

1,200 Publications have been cited 4,989 times in 3,783 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
Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153
Garvan, F. G.
2010
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
2015
Vector-valued modular forms and linear differential operators. Zbl 1197.11054
Mason, Geoffrey
2007
Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027
Royer, Emmanuel
2007
Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111
Chan, Hei-Chi
2010
On some new congruences for binomial coefficients. Zbl 1247.11027
Sun, Zhiwei; Tauraso, Roberto
2011
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
The convolution sum $$\sum_{m<n/9}\sigma(m)\sigma(n-9m)$$. Zbl 1082.11003
Williams, Kenneth S.
2005
On multiple zeta values of even arguments. Zbl 1416.11132
Hoffman, Michael E.
2017
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
2006
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
2010
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
2008
Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168
2011
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
Extending Gaussian hypergeometric series to the $$p$$-adic setting. Zbl 1253.33024
McCarthy, Dermot
2012
$$q$$-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043
Gorodetsky, Ofir
2019
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
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
On a conjectured $$q$$-congruence of Guo and Zeng. Zbl 1428.11041
Ni, He-Xia; Pan, Hao
2018
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
2011
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
2012
A polynomial analogue to the Stern sequence. Zbl 1117.11017
Dilcher, Karl; Stolarsky, Kenneth B.
2007
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
2010
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
2005
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
2009
Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049
Hassen, Abdul; Nguyen, Hieu D.
2008
Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
2008
Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014
Chu, Wenchang; Zheng, Deyin
2009
Hypergeometric zeta functions. Zbl 1245.11098
Hassen, Abdul; Nguyen, Hieu D.
2010
The Diophantine equation $$A^4 + 2^{\delta }B^2 = C^n$$. Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
2010
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
2008
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 the maximal length of consecutive zero digits of $$\beta$$-expansions. Zbl 1337.11053
Tong, Xin; Yu, Yueli; Zhao, Yanfen
2016
Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058
Wang, Liuquan
2016
The Burgess inequality and the least $$k$$th power non-residue. Zbl 1377.11091
Treviño, Enrique
2015
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
2013
Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138
Vega, M. Valentina
2011
Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061
Miller, Alison; Pixton, Aaron
2010
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
2019
Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
2011
On the $$q$$-derivative and $$q$$-series expansions. Zbl 1284.05040
Liu, Zhi-Guo
2013
A proof of Keith’s conjecture for $$9$$-regular partitions modulo $$3$$. Zbl 1286.11169
Xia, Ernest X. W.; Yao, Olivia X. M.
2014
Fourier series of a class of eta quotients. Zbl 1252.11043
Williams, Kenneth S.
2012
Explicit evaluation of quadratic Euler sums. Zbl 1416.11131
Xu, Ce; Yang, Yingyue; Zhang, Jianwen
2017
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
A survey of Ramanujan expansions. Zbl 1222.11003
Lucht, Lutz G.
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
Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194
Harman, Glyn
2008
Minimal zero-sum sequences of length four over finite cyclic groups. II. Zbl 1286.11016
Li, Yuanlin; Peng, Jiangtao
2013
On the largest prime factor of the $$k$$-Fibonacci numbers. Zbl 1292.11034
Bravo, Jhon J.; Luca, Florian
2013
On a kind of duality of multiple zeta-star values. Zbl 1221.11184
Kaneko, Masanobu; Ohno, Yasuo
2010
Combinatorial proof of one congruence for the broken 1-diamond partition and a generalization. Zbl 1225.11130
Fu, Shishuo
2011
Ramanujan congruences for a class of eta quotients. Zbl 1205.11112
Sinick, Jonah
2010
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
2005
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.; Mays, M. E.
2005
Zeros of weakly holomorphic modular forms of level $$4$$. Zbl 1286.11053
2014
Two congruences involving harmonic numbers with applications. Zbl 1408.11011
Mao, Guo-Shuai; Sun, Zhi-Wei
2016
Gauss summation and Ramanujan-type series for $$1/\pi$$. Zbl 1241.33005
Liu, Zhi-Guo
2012
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
2014
Generalized harmonic numbers and Euler sums. Zbl 1398.11115
Chen, Kwang-Wu
2017
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
On the Diophantine equation $$x^2+2^a\cdot 5^b=y^n$$. Zbl 1231.11041
Luca, Florian; Togbé, Alain
2008
Multiplicative order of Gauss periods. Zbl 1201.11110
Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe
2010
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for any prime $$p\equiv 3(\mathrm{mod}4)$$. Zbl 07219273
Wang, Xiaoxia; Yue, Mingbing
2020
Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013
Sills, Andrew V.
2007
Local monodromy of $$p$$-adic differential equations: an overview. Zbl 1107.12005
Kedlaya, Kiran S.
2005
Another generalization of Menon’s identity. Zbl 1392.11004
Zhao, Xiao-Peng; Cao, Zhen-Fu
2017
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
2019
New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011
Lin, Bernard L. S.
2014
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
2015
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
Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076
Candelori, Luca; Franc, Cameron
2017
On numbers $$n$$ dividing the $$n$$th term of a Lucas sequence. Zbl 1416.11029
Sanna, Carlo
2017
On the non-vanishing of certain modular forms. Zbl 1267.11039
Muić, Goran
2011
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
2010
Control theorems for elliptic curves over function fields. Zbl 1234.11071
Bandini, A.; Longhi, I.
2009
Special values of the polygamma functions. Zbl 1189.11039
2009
The coefficients of the $$\omega(q)$$ mock theta function. Zbl 1220.11061
Garthwaite, Sharon Anne
2008
Moments of the orders of Tate-Shafarevich groups. Zbl 1082.11042
Delaunay, Christophe
2005
Menon-type identities concerning Dirichlet characters. Zbl 1421.11010
Tóth, László
2018
On the broken 1-diamond partition. Zbl 1221.11207
Mortenson, Eric
2008
Eichler orders, trees and representation fields. Zbl 1306.11094
Arenas-Carmona, Luis
2013
Graph components and dynamics over finite fields. Zbl 1309.37083
Flynn, Ryan; Garton, Derek
2014
Arithmetic properties of $$l$$-regular overpartitions. Zbl 1337.05010
Shen, Erin Y. Y.
2016
A geometric variant of Titchmarsh divisor problem. Zbl 1282.11068
Akbary, Amir; Ghioca, Dragos
2012
Explicit zero-free regions for Dedekind zeta functions. Zbl 1279.11110
2012
The sign of Fourier coefficients of half-integral weight cusp forms. Zbl 1290.11081
Hulse, Thomas A.; Kiral, E. Mehmet; Kuan, Chan Ieong; Lim, Li-Mei
2012
Evaluation of the convolution sum $$\sum_{i+25j=n} {\sigma}(i){\sigma}(j)$$. Zbl 1318.11005
Xia, Ernest X. W.; Tian, X. L.; Yao, Olivia X. M.
2014
Evaluation of the convolution sums $$\sum_{l+36m=n} \sigma(l)\sigma(m)$$ and $$\sum_{4l+9m=n} \sigma(l)\sigma(m)$$. Zbl 1390.11016
Ye, Dongxi
2015
Modular forms and elliptic curves over the cubic field of discriminant $$-23$$. Zbl 1277.11053
Gunnells, Paul E.; Yasaki, Dan
2013
On some classes of permutation polynomials. Zbl 1218.11108
Akbary, Amir; Alaric, Sean; Wang, Qiang
2008
Non-openness of v-adic Galois representation for a-motives. Zbl 07330395
Frantzen, Maike Ella Elisabeth
2021
Some relations deduced from regularized double shuffle relations of multiple zeta values. Zbl 07330398
Li, Zhonghua; Qin, Chen
2021
On the sum of fourth powers in arithmetic progression. Zbl 07330401
van Langen, Joey M.
2021
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
2021
A mock theta function identity related to the partition rank modulo $$3$$ and $$9$$. Zbl 07330408
Chan, Song Heng; Hong, Nankun; Jerry; Lovejoy, Jeremy
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
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for any prime $$p\equiv 3(\mathrm{mod}4)$$. Zbl 07219273
Wang, Xiaoxia; Yue, Mingbing
2020
An analogue of a formula for Chebotarev densities. Zbl 1456.11176
Wang, Biao
2020
Inequalities for the $$d$$th residual Crank moments of overpartitions. Zbl 1445.05014
Al-Saedi, Ali; Morrill, Thomas; Swisher, Holly
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
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
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
2020
The probability that ideals in a number ring are $$k$$-wise relatively $$r$$-prime. Zbl 1444.11194
Sittinger, Brian D.; DeMoss, Ryan D.
2020
Computing the Galois group of a polynomial over a $$p$$-adic field. Zbl 1453.11154
Doris, Christopher
2020
Some new sums of $$q$$-trigonometric and related functions through a theta product of Jacobi. Zbl 1453.11095
Bachraoui, Mohamed El; Sándor, József
2020
The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory. I. Zbl 1453.11088
Corwin, David; Dan-Cohen, Ishai
2020
Metric Diophantine approximation with congruence conditions. Zbl 1455.11096
Nesharim, Erez; Rühr, René; Shi, Ronggang
2020
Modular forms on the double half-plane. Zbl 1444.11082
Duncan, John F. R.; McGady, David A.
2020
Mahler coefficients of uniformly differentiable functions modulo $$p$$. Zbl 1444.11237
Memić, Nacima
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
Generalized Vojta-Rémond inequality. Zbl 1460.11094
Dill, Gabriel A.
2020
Exponential sum estimates over prime fields. Zbl 07182421
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
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
Brahmagupta quadrilaterals with equal perimeters and equal areas. Zbl 1460.11037
Choudhry, Ajai
2020
The constant factor in the asymptotic for practical numbers. Zbl 07182437
Weingartner, Andreas
2020
Asymptotic generalized Fermat’s last theorem over number fields. Zbl 07205408
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 07205412
Cao, Hui-Qin; Matiyasevich, Yuri; Sun, Zhi-Wei
2020
The average order of the Möbius function for Beurling primes. Zbl 07205413
Neamah, Ammar Ali; Hilberdink, Titus W.
2020
On the Borwein conjecture. Zbl 07205416
Li, Jiyou
2020
Filtrations of units of Viète field. Zbl 1453.11145
Morisawa, Takayuki; Okazaki, Ryotaro
2020
Constructions of vector-valued modular forms of rank four and level one. Zbl 07205419
Franc, Cameron; Mason, Geoffrey
2020
Appell’s hypergeometric series over finite fields. Zbl 1440.33012
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam
2020
On two lattice points problems about the parabola. Zbl 1445.11058
Huang, Jing-Jing; Li, Huixi
2020
Non-rational varieties with the Hilbert property. Zbl 1457.14051
Demeio, Julian Lawrence
2020
A short note on generalized Euler-Briggs constants. Zbl 1445.11070
2020
Partitions associated with two fifth-order mock theta functions and Beck-type identities. Zbl 1441.05019
Li, Runqiao; Wang, Andrew Y. Z.
2020
On the computation of overorders. Zbl 1453.11169
Hofmann, Tommy; Sircana, Carlo
2020
Mahler coefficients of $$1$$-Lipschitz measure-preserving functions on $$\mathbb{Z}_p$$. Zbl 1455.11160
Memić, Nacima
2020
The smallest invariant factor of the multiplicative group. Zbl 1456.11177
Chang, Ben; Martin, Greg
2020
Dedekind sums arising from newform Eisenstein series. Zbl 1456.11062
Stucker, T.; Vennos, A.; Young, M. P.
2020
Explicit Kummer theory for the rational numbers. Zbl 07285858
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
2020
Quasimodular forms as solutions of modular differential equations. Zbl 07285859
Grabner, Peter J.
2020
$$q$$-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043
Gorodetsky, Ofir
2019
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
2019
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
2019
Ternary universal sums of generalized polygonal numbers. Zbl 1456.11037
Ju, Jangwon; Oh, Byeong-Kweon; Seo, Bangnam
2019
Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers. Zbl 1459.11099
Xia, Ernest X. W.; Yan, Zhang
2019
Vanishing coefficients in some $$q$$-series expansions. Zbl 1459.11117
Tang, Dazhao
2019
Restricted sums of four squares. Zbl 1451.11026
Sun, Zhi-Wei
2019
On some congruences involving Domb numbers and harmonic numbers. Zbl 1433.11017
Mao, Guo-Shuai; Wang, Jie
2019
The number of representations of $$n$$ as a linear combination of triangular numbers. Zbl 1435.11074
Sun, Zhi-Hong
2019
Kummer theory for number fields and the reductions of algebraic numbers. Zbl 1451.11123
Perucca, Antonella; Sgobba, Pietro
2019
Vector-valued Eisenstein series of small weight. Zbl 1441.11091
Williams, Brandon
2019
On the zero-multiplicity of a fifth-order linear recurrence. Zbl 1450.11009
Gómez Ruiz, Carlos Alexis; Luca, Florian
2019
Ramanujan’s theta functions and sums of triangular numbers. Zbl 1459.11098
Sun, Zhi-Hong
2019
A new proof of the duality of multiple zeta values and its generalizations. Zbl 1443.11183
Seki, Shin-ichiro; Yamamoto, Shuji
2019
Polynomial functions in the residue class rings of Dedekind domains. Zbl 1461.11164
Li, Xiumei; Sha, Min
2019
On longest matching consecutive subsequence. Zbl 1437.11116
Li, Jinjun; Yang, Xiangfeng
2019
Exceptional set for sums of unlike powers of primes. Zbl 1441.11259
Liu, Y.
2019
Zeta determinant of the Laplacian on the real projective spaces. Zbl 1441.11233
Hartmann, L.; Spreafico, M.
2019
A conjecture of Gross and Zagier: case $$E(\mathbb Q)_{\text{tor}} \cong \mathbb Z/3\mathbb Z$$. Zbl 07114778
Byeon, Dongho; Kim, Taekyung; Yhee, Donggeon
2019
A generalization of the subspace theorem for higher degree polynomials in subgeneral position. Zbl 1452.11083
Quang, Si Duc
2019
Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev density theorem. Zbl 1456.11218
Debaene, Korneel
2019
Regulator proofs for Boyd’s identities on genus 2 curves. Zbl 1448.11191
Lalín, Matilde; Wu, Gang
2019
Plane quartics with a Galois-invariant Steiner hexad. Zbl 1428.14047
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2019
Recurrence relations for polynomials obtained by arithmetic functions. Zbl 1435.11055
Heim, Bernhard; Luca, Florian; Neuhauser, Markus
2019
A new approach in interpreting some mock theta functions. Zbl 1416.05033
Sharma, S.; Rana, M.
2019
Further improvement on bounds for $$L$$-functions related to $$\mathrm{GL}(3)$$. Zbl 1456.11085
Sun, Haiwei; Ye, Yangbo
2019
On applications for Mahler expansion associated with $$p$$-adic $$q$$-integrals. Zbl 1405.05016
Duran, Ugur; Acikgoz, Mehmet
2019
The Erdős-Burgess constant of the multiplicative semigroup of a factor ring of $$\mathbb{F}_q [x]$$. Zbl 1459.11075
Wang, Haoli; Hao, Jun; Zhang, Lizhen
2019
Ramanujan’s convolution sum twisted by Dirichlet characters. Zbl 1460.11005
Aygin, Zafer Selcuk; Hong, Nankun
2019
Hoffman’s conjectural identity. Zbl 1467.11081
Hirose, Minoru; Sato, Nobuo
2019
“cases? for $$\varphi$$ also” a question raised by Ramanujan. Zbl 1456.33015
Vasuki, K. R.; Bhuvan, E. N.
2019
Quaternary quadratic lattices over number fields. Zbl 1439.11107
Kirschmer, Markus; Nebe, Gabriele
2019
On $$g$$-adic minimal asymptotic bases of order $$h$$. Zbl 1435.11024
Sun, Cui-Fang; Tao, Tian-Tian
2019
Divisibility results on Franel numbers and related polynomials. Zbl 1435.11041
Wang, Chen; Sun, Zhi-Wei
2019
Equations with powers of singular moduli. Zbl 1443.11108
Riffaut, Antonin
2019
Averages of arithmetic functions over principal ideals. Zbl 1443.11196
Browning, T. D.; Sofos, E.
2019
Modular invariants and isogenies. Zbl 1446.11126
Pazuki, Fabien
2019
A local Benford law for a class of arithmetic sequences. Zbl 1445.11079
Cai, Zhaodong; Hildebrand, A. J.; Li, Junxian
2019
Fujii’s development on Chebyshev’s conjecture. Zbl 1443.11191
Platt, Dave; Trudgian, Tim
2019
On subset sums of zero-sum free sets of abelian groups. Zbl 1447.11040
Peng, Jiangtao; Hui, Wanzhen; Li, Yuanlin; Sun, Fang
2019
A simple criterion for the class number of a quadratic number field to be one. Zbl 1436.11129
Ramírez Viñas, Víctor Julio
2019
The Lindelöf class of $$L$$-functions. II. Zbl 1459.11175
Dixit, Anup B.; Murty, V. Kumar
2019
Improved bounds on Gauss sums in arbitrary finite fields. Zbl 1454.11218
2019
Asymptotic expansion related to the generalized Somos recurrence constant. Zbl 07135177
Xu, Aimin
2019
Restricted sumsets in $$\mathbb Z_n$$. Zbl 1442.11023
Tang, Min; Wei, Meng-Ting
2019
Elliptic surfaces over $$\mathbb P^1$$ and large class groups of number fields. Zbl 1439.11279
Gillibert, Jean; Levin, Aaron
2019
On triple correlations of Fourier coefficients of cusp forms. II. Zbl 1443.11049
Lü, Guangshi; Xi, Ping
2019
Sums of reciprocals of fractional parts. Zbl 1443.11137
Fregoli, Reynold
2019
Explicit short intervals for primes in arithmetic progressions on GRH. Zbl 07057158
Dudek, Adrian W.; Grenié, Loïc; Molteni, Giuseppe
2019
A magnetic modular form. Zbl 1456.11058
Li, Yingkun; Neururer, Michael
2019
On values taken by the largest prime factor of shifted primes. II. Zbl 1459.11178
Chen, Bin; Wu, Jie
2019
Zsigmondy theorem for arithmetic dynamics induced by a Drinfeld module. Zbl 1443.11130
Zhao, Zhengjun; Ji, Qingzhong
2019
Congruence properties of $$p_k(n)$$. Zbl 1453.11129
Du, Julia Q. D.; Liu, Edward Y. S.; Zhao, Jack C. D.
2019
...and 1100 more Documents
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#### Cited by 3,288 Authors

 45 Shparlinski, Igor E. 39 Guo, Victor J. W. 34 Barman, Rupam 31 Xia, Ernest X. W. 27 Luca, Florian 26 Yao, Olivia Xiang Mei 25 Kim, Byungchan 25 Wang, Liuquan 23 Chern, Shane 23 Murty, Maruti Ram 22 Bringmann, Kathrin 21 Baruah, Nayandeep Deka 20 Komatsu, Takao 20 Mahadeva Naika, Megadahalli Sidda 20 Pollack, Paul 20 Sun, Zhihong 19 Zaharescu, Alexandru 18 Chu, Wenchang 18 Lin, Bernard L. S. 18 Sun, Zhi-Wei 18 Xu, Ce 16 Osburn, Robert 15 Liu, Jicai 15 Mao, Renrong 14 Alkan, Emre 14 Cooper, Shaun 14 Eie, Minking 14 Meher, Jaban 14 Tang, Dazhao 14 Toh, Pee Choon 13 Hong, Shaofang 13 Kim, Chang Heon 13 Kim, Daeyeoul 13 Saikia, Neelam 13 Tóth, László 13 Zudilin, Wadim 12 Alaca, Ayşe 12 Alaca, Şaban 12 Jennings-Shaffer, Chris 12 Lovejoy, Jeremy 12 Sha, Min 12 Tauraso, Roberto 12 Williams, Kenneth S. 12 Yuan, Pingzhi 11 Azizi, Abdelmalek 11 Dilcher, Karl 11 Mao, Guo-Shuai 11 Pan, Hao 11 Sanna, Carlo 11 Shkredov, Il’ya Dmitrievich 10 Choi, Soyoung 10 Dubickas, Artūras 10 Fukshansky, Lenny 10 Garaev, Moubariz Z. 10 Girstmair, Kurt 10 Gun, Sanoli 10 Hirschhorn, Michael D. 10 Kalita, Gautam 10 Kohnen, Winfried 10 Mason, Geoffrey 10 Pomerance, Carl Bernard 10 Raji, Wissam 10 Sahu, Brundaban 10 Sellers, James Allen 10 Straub, Armin 10 Togbé, Alain 10 Wei, Chuanan 10 Wu, Jie 10 Ye, Dongxi 9 Arenas-Carmona, Luis 9 Chan, Song Heng 9 Dixit, Atul 9 Garvan, Frank G. 9 Gras, Georges 9 Hamahata, Yoshinori 9 Korolëv, Maksim Aleksandrovich 9 Lau, Yuk-Kam 9 Laurinčikas, Antanas 9 Lei, Antonio 9 Li, Yuanlin 9 Liu, Zhixin 9 Oh, Byeong-Kweon 9 Poor, Cris 9 Sakai, Yuichi 9 Schlosser, Michael J. 9 Sills, Andrew V. 9 Thuswaldner, Jörg Maximilian 9 Väänänen, Keijo O. 9 Walling, Lynne H. 9 Wang, Xiaoxia 9 Yee, Ae Ja 9 Yuen, David S. 9 Zhao, Jianqiang 8 Aygin, Zafer Selçuk 8 Bayad, Abdelmejid 8 Bennett, Michael A. 8 Bundschuh, Peter 8 Cai, Tianxin 8 Chan, Heng Huat 8 Clark, Peter Louis ...and 3,188 more Authors
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#### Cited in 355 Journals

 473 Journal of Number Theory 464 International Journal of Number Theory 241 The Ramanujan Journal 104 Proceedings of the American Mathematical Society 84 Acta Arithmetica 65 Research in Number Theory 64 Journal of Mathematical Analysis and Applications 63 Finite Fields and their Applications 60 Bulletin of the Australian Mathematical Society 60 Transactions of the American Mathematical Society 57 Journal de Théorie des Nombres de Bordeaux 52 Functiones et Approximatio. Commentarii Mathematici 49 Monatshefte für Mathematik 49 Integers 44 Advances in Mathematics 43 Mathematics of Computation 41 Mathematische Zeitschrift 39 Discrete Mathematics 37 Mathematical Proceedings of the Cambridge Philosophical Society 37 Journal of Combinatorial Theory. Series A 36 Rocky Mountain Journal of Mathematics 34 Archiv der Mathematik 31 Research in the Mathematical Sciences 29 Mathematische Annalen 26 Journal of Algebra 26 Mathematika 26 Advances in Applied Mathematics 26 Annals of Combinatorics 25 Results in Mathematics 23 Compositio Mathematica 23 Manuscripta Mathematica 20 Journal of the Australian Mathematical Society 18 Indian Journal of Pure & Applied Mathematics 18 Periodica Mathematica Hungarica 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Acta Mathematica Hungarica 17 Integral Transforms and Special Functions 17 Journal of Difference Equations and Applications 17 Algebra & Number Theory 16 Journal of Integer Sequences 15 Israel Journal of Mathematics 15 Journal für die Reine und Angewandte Mathematik 15 Forum Mathematicum 15 Indagationes Mathematicae. New Series 15 Acta Mathematica Sinica. English Series 14 Duke Mathematical Journal 14 Linear Algebra and its Applications 14 Turkish Journal of Mathematics 14 Annales Mathématiques du Québec 13 Lithuanian Mathematical Journal 13 European Journal of Combinatorics 13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Mathematical Notes 12 Journal of High Energy Physics 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Open Mathematics 11 Annales de l’Institut Fourier 11 Tokyo Journal of Mathematics 11 Journal of Algebra and its Applications 11 Proceedings of the Steklov Institute of Mathematics 10 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 10 Journal of Pure and Applied Algebra 10 Quaestiones Mathematicae 10 Experimental Mathematics 10 Afrika Matematika 9 Inventiones Mathematicae 9 Journal of Mathematical Sciences (New York) 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Science China. Mathematics 8 Colloquium Mathematicum 8 Proceedings of the Japan Academy. Series A 8 Journal of Symbolic Computation 8 SIAM Journal on Discrete Mathematics 8 Journal of the Ramanujan Mathematical Society 8 Selecta Mathematica. New Series 8 Documenta Mathematica 8 Taiwanese Journal of Mathematics 8 Journal of Inequalities and Applications 8 Annals of Mathematics. Second Series 8 Journal of the Institute of Mathematics of Jussieu 7 Bulletin of the London Mathematical Society 7 Glasgow Mathematical Journal 7 Journal of the London Mathematical Society. Second Series 7 Journal of the Mathematical Society of Japan 7 Theoretical Computer Science 7 International Journal of Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 Journal of the European Mathematical Society (JEMS) 7 Advances in Difference Equations 6 Letters in Mathematical Physics 6 Linear and Multilinear Algebra 6 Acta Mathematica Vietnamica 6 Illinois Journal of Mathematics 6 Journal of the Korean Mathematical Society 6 Michigan Mathematical Journal 6 Proceedings of the London Mathematical Society. Third Series 6 Bulletin of the Korean Mathematical Society 6 Designs, Codes and Cryptography 6 Expositiones Mathematicae ...and 255 more Journals
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#### Cited in 53 Fields

 3,479 Number theory (11-XX) 605 Combinatorics (05-XX) 347 Special functions (33-XX) 260 Algebraic geometry (14-XX) 122 Group theory and generalizations (20-XX) 103 Dynamical systems and ergodic theory (37-XX) 93 Field theory and polynomials (12-XX) 55 Topological groups, Lie groups (22-XX) 55 Functions of a complex variable (30-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 48 Probability theory and stochastic processes (60-XX) 46 Measure and integration (28-XX) 40 Commutative algebra (13-XX) 40 Information and communication theory, circuits (94-XX) 37 Computer science (68-XX) 33 Numerical analysis (65-XX) 30 Sequences, series, summability (40-XX) 30 Quantum theory (81-XX) 27 Associative rings and algebras (16-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Nonassociative rings and algebras (17-XX) 22 Real functions (26-XX) 22 Difference and functional equations (39-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Convex and discrete geometry (52-XX) 15 $$K$$-theory (19-XX) 15 Approximations and expansions (41-XX) 13 Mathematical logic and foundations (03-XX) 13 Ordinary differential equations (34-XX) 13 Integral transforms, operational calculus (44-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Manifolds and cell complexes (57-XX) 9 Partial differential equations (35-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Geometry (51-XX) 7 Operator theory (47-XX) 7 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 Statistics (62-XX)