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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: Journal; Indexed cover-to-cover
Documents Indexed: 2,234 Publications (since 2005)
References Indexed: 2,229 Publications with 35,434 References.
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Latest Issues

21, No. 1 (2025)
20, No. 10 (2024)
20, No. 9 (2024)
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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)
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14, No. 1 (2018)
13, No. 10 (2017)
13, No. 9 (2017)
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13, No. 6 (2017)
13, No. 5 (2017)
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12, No. 8 (2016)
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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)
...and 61 more Volumes
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Authors

31 Luca, Florian
15 Murty, Maruti Ram
15 Sun, Zhihong
15 Williams, Kenneth S.
14 Girstmair, Kurt
13 Xia, Ernest X. W.
12 Alaca, Ayşe
12 Alaca, Şaban
11 Baruah, Nayandeep Deka
11 Guo, Victor J. W.
11 Shparlinski, Igor E.
11 Zaharescu, Alexandru
10 Sun, Zhi-Wei
9 Barman, Rupam
9 Chan, Tsz Ho
9 Chen, Yonggao
9 Choudhry, Ajai
9 Kim, Byungchan
9 Laishram, Shanta
9 Ulas, Maciej
8 Bremner, Andrew
8 Yao, Olivia Xiang Mei
7 Baier, Stephan
7 Cui, Su-Ping
7 Eie, Minking
7 Kohnen, Winfried
7 Li, Jinjiang
7 Sanna, Carlo
7 Vignat, Christophe
7 Walling, Lynne Heather
7 Zhai, Wenguang
6 Alkan, Emre
6 Andrews, George Eyre
6 Baoulina, Ioulia N.
6 Berndt, Bruce Carl
6 Cai, Tianxin
6 Chen, Shichao
6 Chern, Shane
6 Cooper, Shaun
6 Dilcher, Karl
6 Gu, Nancy Shan Shan
6 Liu, Zhi-Guo
6 Liu, Zhixin
6 Lovejoy, Jeremy
6 Moll, Victor Hugo
6 Pollack, Paul
6 Ramakrishnan, Balakrishnan
6 Rouse, Jeremy A.
6 Sellers, James Allen
6 Skałba, Mariusz
6 Wang, Liuquan
6 Ye, Dongxi
6 Zhang, Min
5 Azizi, Abdelmalek
5 Bennett, Michael A.
5 Bringmann, Kathrin
5 Bugeaud, Yann
5 Dubickas, Artūras
5 Harrington, Joshua
5 Haynes, Alan K.
5 Khanduja, Sudesh K.
5 Liaw, Wen-Chin
5 Lim, Meng Fai
5 Liu, Huaning
5 Lu, Guangshi
5 Maji, Bibekananda
5 Mayer, Daniel C.
5 Murty, Vijaya Kumar
5 Nathanson, Melvyn Bernard
5 Nebe, Gabriele
5 Oh, Byeong-Kweon
5 Ong, Yaolin
5 Perucca, Antonella
5 Saad Eddin, Sumaia
5 Sahu, Brundaban
5 Saradha, N.
5 Tang, Dazhao
5 Tauraso, Roberto
5 Togbé, Alain
5 Väänänen, Keijo O.
5 Vulakh, L. Ya.
5 Wu, Jie
5 Zhao, Liangyi
5 Ziegler, Volker
4 Akbary, Amir
4 Ash, Avner
4 Banks, William David
4 Bordellès, Olivier
4 Bundschuh, Peter
4 Chu, Wenchang
4 Dai, Haobo
4 Filaseta, Michael A.
4 Flicker, Yuval Z.
4 Fu, Ruiqin
4 Gómez, Carlos Alexis
4 Gun, Sanoli
4 Hamahata, Yoshinori
4 Hassen, Abdul
4 Heim, Bernhard Ernst
4 Hong, Shaofang
...and 2,301 more Authors
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Fields

2,189 Number theory (11-XX)
230 Combinatorics (05-XX)
161 Algebraic geometry (14-XX)
151 Special functions (33-XX)
70 Group theory and generalizations (20-XX)
48 Field theory and polynomials (12-XX)
41 Dynamical systems and ergodic theory (37-XX)
32 Topological groups, Lie groups (22-XX)
32 Functions of a complex variable (30-XX)
26 Commutative algebra (13-XX)
17 Measure and integration (28-XX)
13 Approximations and expansions (41-XX)
11 Associative rings and algebras (16-XX)
11 Real functions (26-XX)
11 Information and communication theory, circuits (94-XX)
10 Nonassociative rings and algebras (17-XX)
10 \(K\)-theory (19-XX)
10 Convex and discrete geometry (52-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Sequences, series, summability (40-XX)
8 Probability theory and stochastic processes (60-XX)
7 Numerical analysis (65-XX)
5 Ordinary differential equations (34-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 History and biography (01-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-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 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
1 Category theory; homological algebra (18-XX)
1 Partial differential equations (35-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)

Publications by Year

Citations contained in zbMATH Open

1,636 Publications have been cited 8,712 times in 6,391 Documents Cited by Year
More on the sum-product phenomenon in prime fields and its applications. Zbl 1173.11310
Bourgain, J.
119
2005
Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008
Chan, Hei-Chi
90
2010
Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111
Chan, Hei-Chi
51
2010
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
47
2015
Wolstenholme type theorem for multiple harmonic sums. Zbl 1218.11005
Zhao, Jianqiang
46
2008
The quintuple product identity. Zbl 1159.33300
Cooper, Shaun
44
2006
Power integral bases for certain pure sextic fields. Zbl 1316.11094
Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad
43
2014
Vector-valued modular forms and linear differential operators. Zbl 1197.11054
Mason, Geoffrey
42
2007
Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027
Royer, Emmanuel
41
2007
On some new congruences for binomial coefficients. Zbl 1247.11027
Sun, Zhiwei; Tauraso, Roberto
40
2011
Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153
Garvan, F. G.
40
2010
Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. Zbl 1314.11066
Loeffler, David; Zerbes, Sarah Livia
39
2014
Arithmetic of \(l\)-regular partition functions. Zbl 1221.11208
Penniston, David
39
2008
Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010
Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A.
38
2015
Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168
Radu, Silviu; Sellers, James A.
37
2011
On the \(q\)-derivative and \(q\)-series expansions. Zbl 1284.05040
Liu, Zhi-Guo
35
2013
The first negative Hecke eigenvalue. Zbl 1219.11066
Iwaniec, H.; Kohnen, W.; Sengupta, J.
35
2007
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
35
2008
Rank and congruences for overpartition pairs. Zbl 1221.11206
Bringmann, Kathrin; Lovejoy, Jeremy
35
2008
\(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043
Gorodetsky, Ofir
33
2019
The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
32
2010
The convolution sum \(\sum_{m<n/9}\sigma(m)\sigma(n-9m)\). Zbl 1082.11003
Williams, Kenneth S.
31
2005
Extending Gaussian hypergeometric series to the \(p\)-adic setting. Zbl 1253.33024
McCarthy, Dermot
31
2012
Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049
Hassen, Abdul; Nguyen, Hieu D.
31
2008
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
29
2020
Congruences satisfied by Apéry-like numbers. Zbl 1303.11009
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco
29
2010
On multiple zeta values of even arguments. Zbl 1416.11132
Hoffman, Michael E.
29
2017
New congruences for Andrews’ singular overpartitions. Zbl 1391.11143
Ahmed, Zakir; Baruah, Nayandeep Deka
28
2015
Characterization of primes dividing the index of a trinomial. Zbl 1431.11116
Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj
28
2017
On a conjectured \(q\)-congruence of Guo and Zeng. Zbl 1428.11041
Ni, He-Xia; Pan, Hao
28
2018
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
27
2013
Thirty-two Goldbach variations. Zbl 1094.11031
Borwein, Jonathan M.; Bradley, David M.
27
2006
Arithmetic properties of \(l\)-regular overpartitions. Zbl 1337.05010
Shen, Erin Y. Y.
27
2016
Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076
Barman, Rupam; Kalita, Gautam
26
2012
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
26
2011
A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309
Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun
26
2005
Hypergeometric zeta functions. Zbl 1245.11098
Hassen, Abdul; Nguyen, Hieu D.
25
2010
Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014
Chu, Wenchang; Zheng, Deyin
24
2009
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.
24
2006
Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138
Vega, M. Valentina
23
2011
Torsion points on elliptic curves with complex multiplication (With an appendix by Alex Rice). Zbl 1272.11075
Clark, Pete L.; Cook, Brian; Stankewicz, James
23
2013
A polynomial analogue to the Stern sequence. Zbl 1117.11017
Dilcher, Karl; Stolarsky, Kenneth B.
23
2007
Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058
Wang, Liuquan
22
2016
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
22
2021
On some combinatorial identities and harmonic sums. Zbl 1376.11065
Batir, Necdet
22
2017
On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034
Bravo, Jhon J.; Luca, Florian
22
2013
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
22
2010
On the maximal length of consecutive zero digits of \(\beta\)-expansions. Zbl 1337.11053
Tong, Xin; Yu, Yueli; Zhao, Yanfen
22
2016
Vanishing coefficients in some \(q\)-series expansions. Zbl 1459.11117
Tang, Dazhao
22
2019
Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018
Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael
21
2008
Generalized Fermat equations: a miscellany. Zbl 1390.11065
Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh
20
2015
The Burgess inequality and the least \(k\)th power non-residue. Zbl 1377.11091
Treviño, Enrique
20
2015
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078
McCarthy, Dermot; Papanikolas, Matthew A.
20
2015
2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014
Ono, Ken; Taguchi, Yuichiro
20
2005
A survey of Ramanujan expansions. Zbl 1222.11003
Lucht, Lutz G.
20
2010
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
20
2013
Generalized harmonic numbers and Euler sums. Zbl 1398.11115
Chen, Kwang-Wu
20
2017
On monogenity of certain pure number fields defined by \(x^{p^r}-m\). Zbl 1483.11236
Ben Yakkou, Hamid; El Fadil, Lhoussain
20
2021
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
19
2014
Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
19
2011
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
19
2022
Zeros of weakly holomorphic modular forms of level \(4\). Zbl 1286.11053
Haddock, Andrew; Jenkins, Paul
19
2014
Dwork’s congruences for the constant terms of powers of a Laurent polynomial. Zbl 1408.11114
Mellit, Anton; Vlasenko, Masha
19
2016
On cubic equations over \(p\)-adic fields. Zbl 1307.11124
Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor
19
2014
Proof of a \(q\)-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
19
2019
Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
19
2008
Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194
Harman, Glyn
19
2008
Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038
Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich
19
2009
On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041
Luca, Florian; Togbé, Alain
19
2008
Fourier series of a class of eta quotients. Zbl 1252.11043
Williams, Kenneth S.
18
2012
The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065
Pasten, Hector
18
2015
Density of two squares of primes and powers of 2. Zbl 1237.11042
Liu, Zhixin; Lü, Guangshi
18
2011
Weber’s class number problem in the cyclotomic \(\mathbb Z_{2}\)-extension of \(\mathbb Q\). III. Zbl 1226.11119
Fukuda, Takashi; Komatsu, Keiichi
18
2011
A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063
Lovejoy, Jeremy
18
2005
A proof of Keith’s conjecture for \(9\)-regular partitions modulo \(3\). Zbl 1286.11169
Xia, Ernest X. W.; Yao, Olivia X. M.
18
2014
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
Bayad, Abdelmejid; Beck, Matthias
18
2014
Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076
Candelori, Luca; Franc, Cameron
18
2017
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.
17
2021
Sign changes of Fourier coefficients of half-integral weight cusp forms. Zbl 1304.11029
Meher, Jaban; Murty, M. Ram
17
2014
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.
17
2014
On a kind of duality of multiple zeta-star values. Zbl 1221.11184
Kaneko, Masanobu; Ohno, Yasuo
17
2010
Special values of the polygamma functions. Zbl 1189.11039
Murty, M. Ram; Saradha, N.
17
2009
Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061
Miller, Alison; Pixton, Aaron
17
2010
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
17
2017
Another generalization of Menon’s identity. Zbl 1392.11004
Zhao, Xiao-Peng; Cao, Zhen-Fu
17
2017
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
17
2012
Problems in additive number theory. IV: Nets in groups and shortest length \(g\)-adic representations. Zbl 1252.11007
Nathanson, Melvyn B.
17
2011
Gauss summation and Ramanujan-type series for \(1/\pi\). Zbl 1241.33005
Liu, Zhi-Guo
17
2012
Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013
Sills, Andrew V.
17
2007
A ternary Diophantine inequality involving primes. Zbl 1422.11209
Cai, Yingchun
17
2018
Explicit evaluation of quadratic Euler sums. Zbl 1416.11131
Xu, Ce; Yang, Yingyue; Zhang, Jianwen
17
2017
A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. Zbl 1478.11072
Aggarwal, Keshav
16
2021
Squares: additive questions and partitions. Zbl 1334.11080
Vaughan, Robert C.
16
2015
Menon-type identities concerning Dirichlet characters. Zbl 1421.11010
Tóth, László
16
2018
Eventually stable rational functions. Zbl 1391.37072
Jones, Rafe; Levy, Alon
16
2017
New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011
Lin, Bernard L. S.
16
2014
Eichler orders, trees and representation fields. Zbl 1306.11094
Arenas-Carmona, Luis
16
2013
On power basis of a class of algebraic number fields. Zbl 1357.11106
Jhorar, Bablesh; Khanduja, Sudesh K.
16
2016
The 3-adic eigencurve at the boundary of weight space. Zbl 1311.11030
Roe, David
16
2014
A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
16
2019
On the \(j\)th smallest modulus of a covering system with distinct moduli. Zbl 1544.11010
Klein, Jonah; Koukoulopoulos, Dimitris; Lemieux, Simon
2
2024
Number of \(\mathbb{F}_q\)-points on diagonal hypersurfaces and hypergeometric function. Zbl 07957202
Sulakashna; Barman, Rupam
2
2024
On some sums involving the integral part function. Zbl 07839470
Liu, Kui; Wu, Jie; Yang, Zhishan
2
2024
Primes in denominators of algebraic numbers. Zbl 1548.11136
Singhal, Deepesh; Lin, Yuxin
1
2024
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs. Zbl 1543.11097
Tang, Dazhao
1
2024
On additive decompositions of primitive elements in finite fields. Zbl 07819769
She, Yue-Feng; Wu, Hai-Liang
1
2024
An upper bound on the number of classes of perfect unary forms in totally real number fields. Zbl 07900421
Porter, Christian; Mendelsohn, Andrew
1
2024
On the sign changes of the coefficients attached to triple product \(L\)-functions. Zbl 07900422
Hua, Guodong
1
2024
On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0(\mathfrak{p}^r)\). Zbl 07900424
Ho, Sheng-Yang Kevin
1
2024
Arithmetic progressions in squarefull numbers. Zbl 07785369
Bajpai, Prajeet; Bennett, Michael A.; Chan, Tsz Ho
1
2024
Modularity of Nahm sums for the tadpole diagram. Zbl 07785371
Milas, Antun; Wang, Liuquan
1
2024
The Mahler measure of \(x+1/x+y+1/y+4\pm 4\sqrt{2}\) and Beilinson’s conjecture. Zbl 1542.11051
Guo, Xuejun; Ji, Qingzhong; Liu, Hang; Qin, Hourong
1
2024
On the divisibility of 7-elongated plane partition diamonds by powers of 8. Zbl 1540.11142
Sellers, J. A.; Smoot, N. A.
1
2024
New and simple proofs of Ramanujan’s modular equations of degree 11. Zbl 07785381
Vasuki, K. R.; Yathirajsharma, M. V.
1
2024
Some separable integer partition classes. Zbl 07864372
Chen, Y. H.; He, Thomas Y.; Tang, F.; Wei, J. J.
1
2024
The minimal odd excludant and Euler’s partition theorem. Zbl 1542.05013
Wang, Andrew Y. Z.; Xu, Zheng
1
2024
Radial behavior of Mahler functions. Zbl 07935171
Poulet, Marina; Rivoal, Tanguy
1
2024
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields. Zbl 07935174
Islam, Md. Imdadul; Chattopadhyay, Jaitra; Chakraborty, Debopam
1
2024
Values of \(p\)-adic hypergeometric functions and \(p\)-adic analogue of Kummer’s linear identity. Zbl 07935177
Saikia, Neelam
1
2024
On the error term in the explicit formula of Riemann-von Mangoldt. Zbl 1531.11086
Cully-Hugill, Michaela; Johnston, Daniel R.
9
2023
Proofs of two conjectural Andrews-Beck type congruences due to Lin, Peng and Toh. Zbl 1526.11058
Du, Julia Q. D.; Tang, Dazhao
6
2023
Detailed asymptotic expansions for partitions into powers. Zbl 1536.11161
O&rsquo;Sullivan, Cormac
5
2023
Vanishing coefficients in quotients of theta functions with odd moduli. Zbl 1536.11075
Du, Julia Q. D.; Tang, Dazhao
5
2023
Efficient congruencing in ellipsephic sets: the general case. Zbl 1518.11007
Biggs, Kirsti D.
4
2023
Product of three primes in large arithmetic progressions. Zbl 1516.11089
Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad
4
2023
On the order of magnitude of Sudler products. II. Zbl 1534.11092
Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon
4
2023
Congruences for \(k\)-elongated plane partition diamonds. Zbl 1527.05019
Baruah, Nayandeep Deka; Das, Hirakjyoti; Talukdar, Pranjal
3
2023
Unramified extensions of quadratic number fields with certain perfect Galois groups. Zbl 1514.12002
König, Joachim
3
2023
Rankin-Cohen brackets of Eisenstein series. Zbl 1532.11063
Xue, Hui
3
2023
Neighborly partitions and the numerators of Rogers-Ramanujan identities. Zbl 1517.11133
Mohsen, Zahraa; Mourtada, Hussein
3
2023
\(k\)-Diophantine \(m\)-tuples in finite fields. Zbl 1512.11035
Hammonds, Trajan; Kim, Seoyoung; Miller, Steven J.; Nigam, Arjun; Onghai, Kyle; Saikia, Dishant; Sharma, Lalit M.
3
2023
Expected value of the smallest denominator in a random interval of fixed radius. Zbl 1528.11061
Chen, Huayang; Haynes, Alan
3
2023
Analogue of Ramanujan’s function \(k (\tau)\) for the cubic continued fraction. Zbl 07739858
Park, Yoon Kyung
2
2023
The mean number of divisors for rough, dense and practical numbers. Zbl 1536.11143
Weingartner, Andreas
2
2023
Supersingular conjectures for the Fricke group. Zbl 1511.14052
Morton, Patrick
2
2023
Shintani cones for complex cubic number fields. Zbl 1514.11068
Capuñay, Alex
2
2023
Proof of Kaneko-Tsumura conjecture on triple \(T\)-values. Zbl 1516.11083
Berger, Sasha; Chandra, Aarav; Jain, Jasper; Xu, Daniel; Xu, Ce; Zhao, Jianqiang
2
2023
Lacunary eta quotients with identically vanishing coefficients. Zbl 07720856
Huber, Timothy; McLaughlin, James; Ye, Dongxi
2
2023
On the sum of a Fibonacci number and a prime. Zbl 1522.11101
Wang, Rui-Jing; Chen, Yong-Gao
2
2023
On the exponential Diophantine equation \(F_n^x\pm F_m^x=a\) with \(a\in\{ F_r, L_r\}\). Zbl 1511.11023
Şiar, Zafer
2
2023
Evaluation of iterated log-sine integrals in terms of multiple polylogarithms. Zbl 1542.11081
Umezawa, Ryota
1
2023
On a family of Siegel Poincaré series. Zbl 1539.11067
Žunar, Sonja
1
2023
On the parity of the number of \((a,b,m)\)-copartitions of \(n\). Zbl 1527.05020
Burson, Hannah E.; Eichhorn, Dennis
1
2023
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height. Zbl 1541.11074
Sakurada, Kosuke
1
2023
The Shimura-Shintani correspondence via singular theta lifts and currents. Zbl 1548.11076
Crawford, Jonathan; Funke, Jens
1
2023
Galois groups of \(\binom{n}{0} + \binom{n}{1} X + \cdots + \binom{n}{6} X^6\). Zbl 1536.11173
Klahn, Benjamin; Technau, Marc
1
2023
Paramodular groups and theta series. Zbl 1546.11060
Böcherer, Siegfried; Schulze-Pillot, Rainer
1
2023
Divisibility of reduction in groups of rational numbers. II. Zbl 1520.11084
Abdullah, H. O.; Mustafa, A. Ali; Pappalardi, F.
1
2023
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields. Zbl 1517.11095
Le, Giang
1
2023
Torsion of elliptic curves in the compositum of dihedral fields. Zbl 1519.11028
Chou, Michael; Karker, Mary Leah
1
2023
Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of \(\mathbb{P}_{\mathbb{F}_q}^1\) and one-level densities. Zbl 1519.11048
Meisner, Patrick
1
2023
An asymptotic expansion for a Lambert series associated to the symmetric square \(L\)-function. Zbl 1519.11046
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha
1
2023
Extensions of Watson’s theorem and the Ramanujan-Guinand formula. Zbl 1514.11053
Kumar, Rahul
1
2023
Misiurewicz polynomials and dynamical units, part I. Zbl 1523.37052
Benedetto, Robert L.; Goksel, Vefa
1
2023
Orthogonal Eisenstein series and theta lifts. Zbl 1534.11060
Kiefer, Paul
1
2023
On fractional sums of the divisor functions. Zbl 1531.11091
Zhang, Wei
1
2023
On a variant of Pillai’s problem with binary recurrences and \(S\)-units. Zbl 1529.11060
Ziegler, Volker
1
2023
First moment of central values of quadratic Hecke \(L\)-functions in the Gaussian field. Zbl 1547.11097
Gao, Peng; Zhao, Liangyi
1
2023
Rational solutions to the variants of Erdős-Selfridge superelliptic curves. Zbl 1530.11034
Das, Pranabesh; Laishram, Shanta; Saradha, N.; Sharma, Divyum
1
2023
Torsion groups of elliptic curves over \(\mathbb{Q}(\mu_{p^\infty})\). Zbl 1539.11082
Gužvić, Tomislav; Vukorepa, Borna
1
2023
Some remarks on the Erdős distinct subset sums problem. Zbl 1535.11016
Steinerberger, Stefan
1
2023
Divisibility and distribution of mex-related integer partitions of Andrews and Newman. Zbl 1510.11025
Ray, Chiranjit
1
2023
Bolytrope orders. Zbl 1520.11096
El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima
1
2023
Limit shapes for unimodal sequences. Zbl 1514.05017
Bridges, Walter
1
2023
Identities of general Kloosterman sums. Zbl 1528.11069
Liu, Xiaoge; Zhang, Tianping
1
2023
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
19
2022
On certain sums of number theory. Zbl 1502.11100
Bordellès, Olivier
11
2022
Minimal excludant over partitions into distinct parts. Zbl 1498.11206
Kaur, Prabh Simrat; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda
5
2022
Further results on vanishing coefficients in infinite products of the form \((q^b, q^{p - b}; q^p )_\infty^3 (q^{j b}, q^{2 p - j b}; q^{2 p})_\infty\). Zbl 1495.11044
Mc Laughlin, James; Zimmer, Peter
5
2022
The Ru-Vojta result for subvarieties. Zbl 1483.14043
Ru, Min; Wang, Julie Tzu-Yueh
5
2022
Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. Zbl 1497.11272
Lei, Antonio; Lim, Meng Fai
5
2022
The smallest parts function associated with \(\omega(q)\). Zbl 1518.11038
Wang, Liuquan; Yang, Yifan
4
2022
Consecutive square-free numbers and square-free primitive roots. Zbl 1489.11005
Jing, Mengyao; Liu, Huaning
4
2022
Refinement of some partition identities of Merca and Yee. Zbl 1497.11256
Mahanta, Pankaj Jyoti; Saikia, Manjil P.
3
2022
On the divisibility among power GCD and power LCM matrices on gcd-closed sets. Zbl 1496.11047
Zhu, Guangyan
3
2022
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. Zbl 1500.11050
Dvornicich, Roberto; Paladino, Laura
3
2022
On the \(\lambda\)-stability of \(p\)-class groups along cyclic \(p\)-towers of a number field. Zbl 1520.11094
Gras, Georges
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 1493.11076
Dofs, Erik; Nguyen Xuan Tho
3
2022
Quadratic points on non-split Cartan modular curves. Zbl 1497.11153
Michaud-Rodgers, Philippe
3
2022
On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). Zbl 1507.11087
Kiuchi, Isao; Saad Eddin, Sumaia
2
2022
Hyperelliptic curves with many automorphisms. Zbl 1532.14060
Müller, Nicolas; Pink, Richard
2
2022
The second moment of \(S_n(t)\) on the Riemann hypothesis. Zbl 1489.11117
Chirre, Andrés; Quesada-Herrera, Oscar E.
2
2022
Lambert series associated to Hilbert modular form. Zbl 1499.11201
Agnihotri, Rishabh
2
2022
The number of representations of squares by integral quaternary quadratic forms. Zbl 1493.11079
Kim, Kyoungmin
2
2022
Relative convergence speed of Lüroth expansions and Hausdorff dimension. Zbl 1494.11068
Tan, Xiaoyan; Liu, Jia; Zhang, Zhenliang
2
2022
On approximation by random Lüroth expansions. Zbl 1495.11093
Kalle, Charlene; Maggioni, Marta
2
2022
On the divisibility of the rank of appearance of a Lucas sequence. Zbl 1501.11030
Sanna, Carlo
2
2022
Minimal Mahler measure in cubic number fields. Zbl 1521.11046
Eldredge, Lydia; Petersen, Kathleen
2
2022
Solubility of additive quartic forms over ramified quadratic extensions of \(\mathbb{Q}_2\). Zbl 1503.11074
Duncan, Drew; Leep, David B.
2
2022
Further generalizations of some Hecke-type identities. Zbl 1489.11163
Zhang, Helen W. J.
2
2022
Integer dynamics. Zbl 1490.11014
Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang
2
2022
A note on weakly prime-additive numbers. Zbl 1490.11004
Fang, Jin-Hui
2
2022
Projective toric codes. Zbl 1535.94094
Nardi, Jade
2
2022
Ternary quadratic forms representing the same integers. Zbl 1506.11050
Ju, Jangwon
1
2022
Cyclic cubic extensions of \(\mathbb{Q}\). Zbl 1504.11055
Majumdar, Dipramit; Sury, B.
1
2022
Computing base extensions of ordinary abelian varieties over finite fields. Zbl 1492.14080
Marseglia, Stefano
1
2022
On a sum involving small arithmetic functions. Zbl 1502.11088
Zhai, Wenguang
1
2022
Rational points on del Pezzo surfaces of degree four. Zbl 1509.14053
Mitankin, Vladimir; Salgado, Cecília
1
2022
Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain \(p\)-adic cyclotomic multiple zeta values. Zbl 1497.11217
Jarossay, David
1
2022
A Diophantine equation inspired by Brahmagupta’s identity. Zbl 1496.11052
Choudhry, Ajai; Bluskov, Iliya; James, Alexander
1
2022
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Cited by 4,978 Authors

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55 Guo, Victor J. W.
49 Barman, Rupam
47 Luca, Florian
45 Xia, Ernest X. W.
45 Yao, Olivia Xiang Mei
34 Tang, Dazhao
32 Baruah, Nayandeep Deka
32 Wang, Liuquan
31 Chern, Shane
30 Pollack, Paul
30 Xu, Ce
29 Bringmann, Kathrin
29 Kim, Byungchan
29 Murty, Maruti Ram
28 Chu, Wenchang
28 Mahadeva Naika, Megadahalli Sidda
27 Komatsu, Takao
27 Sun, Zhi-Wei
25 Zaharescu, Alexandru
24 Lin, Bernard L. S.
24 Mao, Renrong
23 Mao, Guo-Shuai
23 Sun, Zhihong
23 Tóth, László
22 El Fadil, Lhoussain
22 Jones, Lenny K.
20 Azizi, Abdelmalek
20 Merca, Mircea
19 Dubickas, Artūras
19 Eie, Minking
19 Gun, Sanoli
19 Hong, Shaofang
19 Lim, Meng Fai
19 Osburn, Robert
18 Alkan, Emre
18 Gómez, Carlos Alexis
18 Jakhar, Anuj
18 Kalita, Gautam
18 Meher, Jaban
17 Kim, Chang Heon
17 Kim, Daeyeoul
17 Sanna, Carlo
17 Sellers, James Allen
17 Sha, Min
17 Soydan, Gokhan
17 Tauraso, Roberto
17 Togbé, Alain
17 Wang, Xiaoxia
17 Zudilin, Wadim
16 Dilcher, Karl
16 Heim, Bernhard Ernst
16 Lei, Antonio
16 Lovejoy, Jeremy
16 Saikia, Nipen
16 Wei, Chuanan
16 Williams, Kenneth S.
16 Ye, Dongxi
15 Alaca, Ayşe
15 Liu, Jicai
15 Pan, Hao
15 Saikia, Neelam
15 Sofo, Anthony
15 Toh, Pee Choon
15 Yuan, Pingzhi
14 Alaca, Şaban
14 Ballantine, Cristina M.
14 Bennett, Michael A.
14 Cooper, Shaun
14 Cui, Su-Ping
14 Ranganatha, D.
14 Fukshansky, Lenny
14 Gao, Weidong
14 Kiuchi, Isao
14 Kohnen, Winfried
14 Sahu, Brundaban
14 Shkredov, Il’ya Dmitrievich
14 Zhai, Wenguang
13 Chen, Kwang-Wu
13 Gu, Nancy Shan Shan
13 Korolëv, Maksim Aleksandrovich
13 Maji, Bibekananda
13 Neuhauser, Markus
13 Pomerance, Carl Bernard
13 Thuswaldner, Jörg Maximilian
13 Wu, Jie
13 Zekhnini, Abdelkader
12 Aygin, Zafer Selçuk
12 Ben Yakkou, Hamid
12 Choi, Soyoung
12 Dixit, Atul
12 Gras, Georges
12 Hua, Guodong
12 Jennings-Shaffer, Chris
12 Jeon, Daeyeol
12 Kane, Ben
12 Le, Maohua
12 Li, Yuanlin
12 Mc Laughlin, James G.
12 Ray, Anwesh
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Cited in 449 Journals

622 Journal of Number Theory
605 International Journal of Number Theory
433 The Ramanujan Journal
153 Acta Arithmetica
131 Proceedings of the American Mathematical Society
130 Research in Number Theory
112 Bulletin of the Australian Mathematical Society
111 Journal of Mathematical Analysis and Applications
102 Integers
91 Finite Fields and their Applications
86 Journal de Théorie des Nombres de Bordeaux
80 Functiones et Approximatio. Commentarii Mathematici
76 Transactions of the American Mathematical Society
70 Monatshefte für Mathematik
66 Rocky Mountain Journal of Mathematics
66 Advances in Mathematics
62 Mathematics of Computation
61 Discrete Mathematics
61 Mathematische Zeitschrift
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46 Mathematika
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44 Indian Journal of Pure & Applied Mathematics
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42 Advances in Applied Mathematics
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40 Journal of the Ramanujan Mathematical Society
38 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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35 Bulletin of the London Mathematical Society
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30 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
29 Journal of the London Mathematical Society. Second Series
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28 Turkish Journal of Mathematics
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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14 Designs, Codes and Cryptography
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13 Inventiones Mathematicae
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13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Mathematica Slovaca
12 Memoirs of the American Mathematical Society
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12 Journal of the Institute of Mathematics of Jussieu
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12 Science China. Mathematics
12 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
12 Communications in Mathematics
12 Forum of Mathematics, Sigma
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