×

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.
all top 5

Latest Issues

18, No. 10 (2022)
18, No. 9 (2022)
18, No. 8 (2022)
18, No. 7 (2022)
18, No. 6 (2022)
18, No. 5 (2022)
18, No. 4 (2022)
18, No. 3 (2022)
18, No. 2 (2022)
18, No. 1 (2022)
17, No. 10 (2021)
17, No. 9 (2021)
17, No. 8 (2021)
17, No. 7 (2021)
17, No. 6 (2021)
17, No. 5 (2021)
17, No. 4 (2021)
17, No. 3 (2021)
17, No. 2 (2021)
17, No. 1 (2021)
16, No. 10 (2020)
16, No. 9 (2020)
16, No. 8 (2020)
16, No. 7 (2020)
16, No. 6 (2020)
16, No. 5 (2020)
16, No. 4 (2020)
16, No. 3 (2020)
16, No. 2 (2020)
16, No. 1 (2020)
15, No. 10 (2019)
15, No. 9 (2019)
15, No. 8 (2019)
15, No. 7 (2019)
15, No. 6 (2019)
15, No. 5 (2019)
15, No. 4 (2019)
15, No. 3 (2019)
15, No. 2 (2019)
15, No. 1 (2019)
14, No. 10 (2018)
14, No. 9 (2018)
14, No. 8 (2018)
14, No. 7 (2018)
14, No. 6 (2018)
14, No. 5 (2018)
14, No. 4 (2018)
14, No. 3 (2018)
14, No. 2 (2018)
14, No. 1 (2018)
13, No. 10 (2017)
13, No. 9 (2017)
13, No. 8 (2017)
13, No. 7 (2017)
13, No. 6 (2017)
13, No. 5 (2017)
13, No. 4 (2017)
13, No. 3 (2017)
13, No. 2 (2017)
13, No. 1 (2017)
12, No. 8 (2016)
12, No. 7 (2016)
12, No. 6 (2016)
12, No. 5 (2016)
12, No. 4 (2016)
12, No. 3 (2016)
12, No. 2 (2016)
12, No. 1 (2016)
11, No. 8 (2015)
11, No. 7 (2015)
11, No. 6 (2015)
11, No. 5 (2015)
11, No. 4 (2015)
11, No. 3 (2015)
11, No. 2 (2015)
11, No. 1 (2015)
10, No. 8 (2014)
10, No. 7 (2014)
10, No. 6 (2014)
10, No. 5 (2014)
10, No. 4 (2014)
10, No. 3 (2014)
10, No. 2 (2014)
10, No. 1 (2014)
9, No. 8 (2013)
9, No. 7 (2013)
9, No. 6 (2013)
9, No. 5 (2013)
9, No. 4 (2013)
9, No. 3 (2013)
9, No. 2 (2013)
9, No. 1 (2013)
8, No. 8 (2012)
8, No. 7 (2012)
8, No. 6 (2012)
8, No. 5 (2012)
8, No. 4 (2012)
8, No. 3 (2012)
8, No. 2 (2012)
8, No. 1 (2012)
...and 40 more Volumes
all top 5

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
all top 5

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)

Publications by Year

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.
90
2005
Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008
Chan, Hei-Chi
70
2010
Wolstenholme type theorem for multiple harmonic sums. Zbl 1218.11005
Zhao, Jianqiang
43
2008
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
39
2015
Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111
Chan, Hei-Chi
38
2010
Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153
Garvan, F. G.
37
2010
Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027
Royer, Emmanuel
35
2007
On some new congruences for binomial coefficients. Zbl 1247.11027
Sun, Zhiwei; Tauraso, Roberto
35
2011
Vector-valued modular forms and linear differential operators. Zbl 1197.11054
Mason, Geoffrey
34
2007
The quintuple product identity. Zbl 1159.33300
Cooper, Shaun
34
2006
Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010
Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A.
32
2015
Arithmetic of \(l\)-regular partition functions. Zbl 1221.11208
Penniston, David
31
2008
Rank and congruences for overpartition pairs. Zbl 1221.11206
Bringmann, Kathrin; Lovejoy, Jeremy
29
2008
The first negative Hecke eigenvalue. Zbl 1219.11066
Iwaniec, H.; Kohnen, W.; Sengupta, J.
28
2007
Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168
Radu, Silviu; Sellers, James A.
26
2011
\(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043
Gorodetsky, Ofir
26
2019
On multiple zeta values of even arguments. Zbl 1416.11132
Hoffman, Michael E.
25
2017
The convolution sum \(\sum_{m<n/9}\sigma(m)\sigma(n-9m)\). Zbl 1082.11003
Williams, Kenneth S.
25
2005
Extending Gaussian hypergeometric series to the \(p\)-adic setting. Zbl 1253.33024
McCarthy, Dermot
25
2012
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
25
2010
Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049
Hassen, Abdul; Nguyen, Hieu D.
25
2008
New congruences for Andrews’ singular overpartitions. Zbl 1391.11143
Ahmed, Zakir; Baruah, Nayandeep Deka
25
2015
Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. Zbl 1314.11066
Loeffler, David; Zerbes, Sarah Livia
25
2014
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
24
2006
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
24
2011
The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
23
2010
On a conjectured \(q\)-congruence of Guo and Zeng. Zbl 1428.11041
Ni, He-Xia; Pan, Hao
23
2018
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
22
2005
Hypergeometric zeta functions. Zbl 1245.11098
Hassen, Abdul; Nguyen, Hieu D.
22
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.
22
2006
A polynomial analogue to the Stern sequence. Zbl 1117.11017
Dilcher, Karl; Stolarsky, Kenneth B.
22
2007
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
22
2008
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
21
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
21
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
20
2020
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
20
2010
Power integral bases for certain pure sextic fields. Zbl 1316.11094
Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad
20
2014
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
19
2013
Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014
Chu, Wenchang; Zheng, Deyin
19
2009
Arithmetic properties of \(l\)-regular overpartitions. Zbl 1337.05010
Shen, Erin Y. Y.
19
2016
On the \(q\)-derivative and \(q\)-series expansions. Zbl 1284.05040
Liu, Zhi-Guo
18
2013
Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058
Wang, Liuquan
18
2016
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
18
2009
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
18
2008
Explicit evaluation of quadratic Euler sums. Zbl 1416.11131
Xu, Ce; Yang, Yingyue; Zhang, Jianwen
17
2017
A proof of Keith’s conjecture for \(9\)-regular partitions modulo \(3\). Zbl 1286.11169
Xia, Ernest X. W.; Yao, Olivia X. M.
17
2014
Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
17
2008
The Burgess inequality and the least \(k\)th power non-residue. Zbl 1377.11091
Treviño, Enrique
17
2015
On the maximal length of consecutive zero digits of \(\beta\)-expansions. Zbl 1337.11053
Tong, Xin; Yu, Yueli; Zhao, Yanfen
17
2016
On some combinatorial identities and harmonic sums. Zbl 1376.11065
Batir, Necdet
16
2017
Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138
Vega, M. Valentina
16
2011
On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034
Bravo, Jhon J.; Luca, Florian
16
2013
Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
16
2011
A survey of Ramanujan expansions. Zbl 1222.11003
Lucht, Lutz G.
16
2010
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
15
2005
Fourier series of a class of eta quotients. Zbl 1252.11043
Williams, Kenneth S.
15
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
15
2013
Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061
Miller, Alison; Pixton, Aaron
15
2010
Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194
Harman, Glyn
15
2008
A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
15
2019
Another generalization of Menon’s identity. Zbl 1392.11004
Zhao, Xiao-Peng; Cao, Zhen-Fu
15
2017
Generalized harmonic numbers and Euler sums. Zbl 1398.11115
Chen, Kwang-Wu
15
2017
Weber’s class number problem in the cyclotomic \(\mathbb Z_{2}\)-extension of \(\mathbb Q\). III. Zbl 1226.11119
Fukuda, Takashi; Komatsu, Keiichi
15
2011
On a kind of duality of multiple zeta-star values. Zbl 1221.11184
Kaneko, Masanobu; Ohno, Yasuo
15
2010
On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041
Luca, Florian; Togbé, Alain
14
2008
Ramanujan congruences for a class of eta quotients. Zbl 1205.11112
Sinick, Jonah
14
2010
A short note on Fourier coefficients of half-integral weight modular forms. Zbl 1210.11054
Kohnen, Winfried
14
2010
Congruences related to modular forms. Zbl 1209.11047
Verrill, H. A.
14
2010
Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076
Candelori, Luca; Franc, Cameron
14
2017
Proof of a \(q\)-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
14
2019
The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065
Pasten, Hector
14
2015
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
13
2017
A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063
Lovejoy, Jeremy
13
2005
Gauss summation and Ramanujan-type series for \(1/\pi\). Zbl 1241.33005
Liu, Zhi-Guo
13
2012
Zeros of weakly holomorphic modular forms of level \(4\). Zbl 1286.11053
Haddock, Andrew; Jenkins, Paul
13
2014
New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011
Lin, Bernard L. S.
13
2014
Minimal zero-sum sequences of length four over finite cyclic groups. II. Zbl 1286.11016
Li, Yuanlin; Peng, Jiangtao
13
2013
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.; Mays, M. E.
13
2005
Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013
Sills, Andrew V.
13
2007
Multiplicative order of Gauss periods. Zbl 1201.11110
Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe
13
2010
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
13
2010
Menon-type identities concerning Dirichlet characters. Zbl 1421.11010
Tóth, László
13
2018
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
Bayad, Abdelmejid; Beck, Matthias
13
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
13
2014
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
13
2015
Two congruences involving harmonic numbers with applications. Zbl 1408.11011
Mao, Guo-Shuai; Sun, Zhi-Wei
13
2016
Density of two squares of primes and powers of 2. Zbl 1237.11042
Liu, Zhixin; Lü, Guangshi
13
2011
Combinatorial proof of one congruence for the broken 1-diamond partition and a generalization. Zbl 1225.11130
Fu, Shishuo
13
2011
On numbers \(n\) dividing the \(n\)th term of a Lucas sequence. Zbl 1416.11029
Sanna, Carlo
12
2017
Local monodromy of \(p\)-adic differential equations: an overview. Zbl 1107.12005
Kedlaya, Kiran S.
12
2005
Problems in additive number theory. IV: Nets in groups and shortest length \(g\)-adic representations. Zbl 1252.11007
Nathanson, Melvyn B.
12
2011
Two congruences for Appell-Lerch sums. Zbl 1252.11081
Chan, Song Heng; Mao, Renrong
12
2012
Explicit zero-free regions for Dedekind zeta functions. Zbl 1279.11110
Kadiri, Habiba
12
2012
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
12
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.
12
2009
Special values of the polygamma functions. Zbl 1189.11039
Murty, M. Ram; Saradha, N.
12
2009
On the least quadratic non-residue. Zbl 1172.11030
Lau, Yuk-Kam; Wu, Jie
12
2008
A remark on the \(\mathfrak{M}_{H}(G)\)-conjecture and Akashi series. Zbl 1319.11073
Lim, Meng Fai
12
2015
On the Riemann hypothesis and the difference between primes. Zbl 1317.11095
Dudek, Adrian W.
12
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.
11
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
3
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
2
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
2
2022
On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 07543090
Delaygue, É.; Rivoal, T.
1
2022
Quadratic points on non-split Cartan modular curves. Zbl 07488463
Michaud-Rodgers, Philippe
1
2022
Integer dynamics. Zbl 1490.11014
Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang
1
2022
The second moment of \(S_n(t)\) on the Riemann hypothesis. Zbl 1489.11117
Chirre, Andrés; Quesada-Herrera, Oscar E.
1
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.
11
2021
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
8
2021
On monogenity of certain pure number fields defined by \(x^{p^r}-m\). Zbl 1483.11236
Ben Yakkou, Hamid; El Fadil, Lhoussain
7
2021
Dimension theory of the product of partial quotients in Lüroth expansions. Zbl 1469.11256
Tan, Bo; Zhou, Qinglong
4
2021
Combinatorial proof of the minimal excludant theorem. Zbl 07399186
Ballantine, Cristina; Merca, Mircea
3
2021
Some relations deduced from regularized double shuffle relations of multiple zeta values. Zbl 1483.11186
Li, Zhonghua; Qin, Chen
3
2021
Polynomials and reciprocals of Eisenstein series. Zbl 1468.11104
Heim, Bernhard; Neuhauser, Markus
3
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
3
2021
The degree of Kummer extensions of number fields. Zbl 1476.11135
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
3
2021
A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. Zbl 1478.11072
Aggarwal, Keshav
3
2021
Deformations of certain reducible Galois representations. III. Zbl 1479.11089
Ray, Anwesh
3
2021
A sum of three nonzero triangular numbers. Zbl 1482.11060
Kim, Daejun; Lee, Jeongwon; Oh, Byeong-Kweon
2
2021
Non-openness of v-adic Galois representation for a-motives. Zbl 1480.11074
Frantzen, Maike Ella Elisabeth
2
2021
On the sum of fourth powers in arithmetic progression. Zbl 1475.11051
van Langen, Joey M.
2
2021
Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136
Mertens, Michael H.; Ono, Ken; Rolen, Larry
2
2021
On a family of mild functions. Zbl 1468.14101
Van Hille, Siegfried
2
2021
Oscillations in weighted arithmetic sums. Zbl 1473.11167
Mossinghoff, Michael J.; Trudgian, Timothy S.
2
2021
Irreducibility of \(\bmod p\) Galois representations of elliptic curves with multiplicative reduction over number fields. Zbl 1477.11109
Najman, Filip; Ţurcaş, George C.
1
2021
2-class groups of cyclotomic towers of imaginary biquadratic fields and applications. Zbl 1482.11148
Chems-Eddin, Mohamed Mahmoud; Müller, Katharina
1
2021
Location of the zeros of certain cuspforms. Zbl 1483.11071
Xue, Hui; Zhu, Daozhou
1
2021
On the l.c.m. of shifted Fibonacci numbers. Zbl 1484.11060
Sanna, Carlo
1
2021
Towards the Sato-Tate groups of trinomial hyperelliptic curves. Zbl 1474.11121
Emory, Melissa; Goodson, Heidi; Peyrot, Alexandre
1
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
1
2021
A semi-canonical reduction for periods of Kontsevich-Zagier. Zbl 1467.14040
Viu-Sos, Juan
1
2021
Recursion formulas for poly-Bernoulli numbers and their applications. Zbl 1478.11028
Ohno, Yasuo; Sasaki, Yoshitaka
1
2021
Combinatorics of two second-order mock theta functions. Zbl 1466.11074
Burson, Hannah
1
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
1
2021
Polynomial analogues of restricted multicolor \(b\)-ary partition functions. Zbl 1466.11070
Dilcher, Karl; Ericksen, Larry
1
2021
On Hurwitz zeta function and Lommel functions. Zbl 1468.11171
Dixit, Atul; Kumar, Rahul
1
2021
An inequality between finite analogues of rank and crank moments. Zbl 1467.11086
Eyyunni, Pramod; Maji, Bibekananda; Sood, Garima
1
2021
Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. Zbl 1470.11098
Folsom, Amanda
1
2021
Proof of a rational Ramanujan-type series for \(1/\pi\). The fastest one in level 3. Zbl 1461.33009
Guillera, Jesús
1
2021
A twisted generalization of the classical Dedekind sum. Zbl 1469.11259
Isaacson, Brad
1
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.
1
2021
Analysis and combinatorics of partition zeta functions. Zbl 1478.11123
Schneider, Robert; Sills, Andrew V.
1
2021
Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160
Zeilberger, Doron; Zudilin, Wadim
1
2021
Analogues of the Robin-Lagarias criteria for the Riemann hypothesis. Zbl 1472.11236
Washington, Lawrence C.; Yang, Ambrose
1
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
1
2021
Conjugates of Pisot numbers. Zbl 1489.11108
Hare, Kevin G.; Sidorov, Nikita
1
2021
Adelic Voronoï summation and subconvexity for \(\mathrm{GL}(2)\) \(L\)-functions in the depth aspect. Zbl 1480.11057
Assing, Edgar
1
2021
Congruences of local origin and automorphic induction. Zbl 1480.11052
Dummigan, Neil; Spencer, David
1
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
1
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
20
2020
On certain sums concerning the gcd’s and lcm’s of \(k\) positive integers. Zbl 1452.11007
Hilberdink, Titus; Luca, Florian; Tóth, László
6
2020
An analogue of a formula for Chebotarev densities. Zbl 1456.11176
Wang, Biao
5
2020
On the problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of \(3\). Zbl 1446.11025
Ddamulira, Mahadi; Luca, Florian
5
2020
Quasimodular forms as solutions of modular differential equations. Zbl 1476.11072
Grabner, Peter J.
5
2020
On the Borwein conjecture. Zbl 1469.11410
Li, Jiyou
4
2020
Partitions associated with two fifth-order mock theta functions and Beck-type identities. Zbl 1441.05019
Li, Runqiao; Wang, Andrew Y. Z.
4
2020
Mahler coefficients of \(1\)-Lipschitz measure-preserving functions on \(\mathbb{Z}_p\). Zbl 1455.11160
Memić, Nacima
4
2020
Additive uniqueness of PRIMES \(-1\) for multiplicative functions. Zbl 1460.11008
Park, Poo-Sung
4
2020
Brahmagupta quadrilaterals with equal perimeters and equal areas. Zbl 1460.11037
Choudhry, Ajai
4
2020
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
4
2020
The constant factor in the asymptotic for practical numbers. Zbl 1475.11167
Weingartner, Andreas
4
2020
Asymptotics and inequalities for partitions into squares. Zbl 1457.11141
Ciolan, Alexandru
3
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
3
2020
Eight cubes of primes and 204 powers of 2. Zbl 1470.11257
Zhao, Xiaodong; Ge, Wenxu
3
2020
Explicit Kummer theory for the rational numbers. Zbl 1480.11140
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
3
2020
Constructions of vector-valued modular forms of rank four and level one. Zbl 1469.11070
Franc, Cameron; Mason, Geoffrey
2
2020
Appell’s hypergeometric series over finite fields. Zbl 1440.33012
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam
2
2020
Non-rational varieties with the Hilbert property. Zbl 1457.14051
Demeio, Julian Lawrence
2
2020
Fourier coefficients of the overconvergent generalized eigenform associated to a CM form. Zbl 1465.11112
Hsu, Chi-Yun
2
2020
The smallest invariant factor of the multiplicative group. Zbl 1456.11177
Chang, Ben; Martin, Greg
2
2020
Good’s theorem for Hurwitz continued fractions. Zbl 1458.11126
Gonzalez Robert, Gerardo
2
2020
A family of vector-valued quantum modular forms of depth two. Zbl 1442.11089
Males, Joshua
2
2020
CM-types with large index of degeneracy. Zbl 1440.14211
Kida, Masanari; Yanai, Hiromichi
2
2020
Generating functions and congruences for some partition functions related to mock theta functions. Zbl 1437.11146
Baruah, Nayandeep Deka; Begum, Nilufar Mana
2
2020
Norm-compatible systems of cohomology classes for \(\mathrm{GU}(2,2)\). Zbl 1445.11036
Cauchi, Antonio
2
2020
Inequalities for the \(d\)th residual Crank moments of overpartitions. Zbl 1445.05014
Al-Saedi, Ali; Morrill, Thomas; Swisher, Holly
2
2020
A class of maximally singular sets for rational approximation. Zbl 1455.11097
Poëls, Anthony
2
2020
Mahler coefficients of uniformly differentiable functions modulo \(p\). Zbl 1444.11237
Memić, Nacima
2
2020
Ranks of overpartitions modulo \(4\) and \(8\). Zbl 1459.11203
Cui, Su-Ping; Gu, Nancy S. S.; Su, Chen-Yang
2
2020
Asymptotic generalized Fermat’s last theorem over number fields. Zbl 1477.11057
Kara, Yasemin; Ozman, Ekin
1
2020
The number of equivalence classes arising from partition involutions. Zbl 1440.05032
Huh, JiSun; Kim, Byungchan
1
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
1
2020
The average order of the Möbius function for Beurling primes. Zbl 1475.11180
Neamah, Ammar Ali; Hilberdink, Titus W.
1
2020
Filtrations of units of Viète field. Zbl 1453.11145
Morisawa, Takayuki; Okazaki, Ryotaro
1
2020
On the error term of a lattice counting problem. II. Zbl 1476.11111
Bordellès, Olivier
1
2020
On two lattice points problems about the parabola. Zbl 1445.11058
Huang, Jing-Jing; Li, Huixi
1
2020
A short note on generalized Euler-Briggs constants. Zbl 1445.11070
Bharadwaj, Abhishek T.
1
2020
On the computation of overorders. Zbl 1453.11169
Hofmann, Tommy; Sircana, Carlo
1
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.
1
2020
Sixth norm of a Steinhaus chaos. Zbl 1469.11389
Mahatab, Kamalakshya
1
2020
Torsion of rational elliptic curves over different types of cubic fields. Zbl 07219272
Jeon, Daeyeol; Schweizer, Andreas
1
2020
On asymptotic behavior of Dirichlet inverse. Zbl 1457.11010
Baustian, Falko; Bobkov, Vladimir
1
2020
On a conjecture of Lemmermeyer. Zbl 1481.11106
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek
1
2020
Third-order mock theta functions. Zbl 1457.11021
Hu, Qiuxia; Song, Hanfei; Zhang, Zhizheng
1
2020
Generalized Vojta-Rémond inequality. Zbl 1460.11094
Dill, Gabriel A.
1
2020
The arithmetic of vector-valued modular forms on \(\Gamma_0(2)\). Zbl 1452.11050
Gottesman, Richard
1
2020
Exponential sum estimates over prime fields. Zbl 1484.11041
Koh, Doowon; Mirzaei, Mozhgan; Pham, Thang; Shen, Chun-Yen
1
2020
\(p\)-adic multiple \(L\)-functions and cyclotomic multiple harmonic values. Zbl 1452.11105
Furusho, Hidekazu; Jarossay, David
1
2020
Weierstrass coefficients of the canonical lifting. Zbl 1456.11105
Finotti, Luís R. A.
1
2020
Small prime solutions to diagonal Diophantine equations. Zbl 1459.11193
Gao, Gaiyun; Liu, Zhixin
1
2020
...and 1250 more Documents
all top 5

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
all top 5

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
all top 5

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)

Citations by Year