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Journal of Number Theory

Short Title: J. Number Theory
Publisher: Elsevier (Academic Press), San Diego, CA
ISSN: 0022-314X; 1096-1658/e
Online: http://www.sciencedirect.com/science/journal/0022314X
Comments: Indexed cover-to-cover
Documents Indexed: 6,759 Publications (since 1969)
References Indexed: 6,173 Publications with 92,586 References.
all top 5

Authors

52 Luca, Florian
41 Chen, Yonggao
33 Erdős, Pál
31 Murty, Maruti Ram
30 Shparlinski, Igor E.
23 Nathanson, Melvyn Bernard
23 Sun, Zhi-Wei
20 Kim, Chang Heon
19 Chowla, Sarvadaman
19 Miller, Steven J.
19 Sárközy, András
19 Zaharescu, Alexandru
19 Zhang, Wenpeng
18 Byeon, Dongho
18 Pohst, Michael E.
17 Lu, Guangshi
17 Tzanakis, Nikos
16 Hajdu, Lajos
16 Jeong, Sangtae
16 Oh, Byeong-Kweon
16 Williams, Kenneth S.
15 Bremner, Andrew
15 Gekeler, Ernst-Ulrich
15 Jeon, Daeyeol
15 Louboutin, Stéphane R.
15 Young, Paul Thomas
14 Choi, Soyoung
14 Pan, Hao
14 Pollack, Paul
14 Sun, Zhihong
13 Cochrane, Todd
13 Gao, Weidong
13 Im, Bo-Hae
13 Moree, Pieter
13 Pethő, Attila
13 Ruzsa, Imre Z.
13 Sander, Jürgen W.
13 Ulas, Maciej
12 Buium, Alexandru
12 Hu, Su
12 Kim, Minsoo
12 Togbé, Alain
12 Yokota, Hisashi
12 Zassenhaus, Hans Julius
12 Zhai, Wenguang
11 Andrews, George Eyre
11 Anglès, Bruno
11 Chen, Chaoping
11 Gaál, István
11 Halter-Koch, Franz
11 Lagarias, Jeffrey C.
11 Lee, Yoonjin
11 Lu, Dawei
11 Merca, Mircea
11 Ono, Ken
11 Parry, Charles J.
11 Pellarin, Federico
11 Pomerance, Carl Bernard
11 Silverman, Joseph Hillel
11 Washington, Lawrence C.
10 Alkan, Emre
10 Eie, Minking
10 Filaseta, Michael A.
10 Garcia, Stephan Ramon
10 Hall, Richard R.
10 Mauduit, Christian
10 Morton, Patrick
10 Papikian, Mihran
10 Rosen, Michael I.
10 Schmidt, Wolfgang M.
10 Sodaïgui, Bouchaïb
10 Virdol, Cristian
9 Allouche, Jean-Paul Simon
9 Chowla, Paromita
9 Dubickas, Artūras
9 Elliott, Peter D. T. A.
9 Girstmair, Kurt
9 Hong, Shaofang
9 Keating, Kevin
9 Komatsu, Takao
9 Kučera, Radan
9 Languasco, Alessandro
9 Le, Maohua
9 Li, Wen-Ch’ing Winnie
9 Matala-aho, Tapani
9 Mignotte, Maurice
9 Walling, Lynne H.
8 Agoh, Takashi
8 Baier, Stephan
8 Balasubramanian, Ramachandran
8 Bayad, Abdelmejid
8 Benjamin, Elliot
8 Berkovich, Alexander
8 Berndt, Bruce Carl
8 Chan, Wai Kiu
8 Choudhry, Ajai
8 Conrey, John Brian
8 Dilcher, Karl
8 Dujella, Andrej
8 Fujita, Yasutsugu Fujita
...and 5,072 more Authors
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Fields

6,447 Number theory (11-XX)
683 Algebraic geometry (14-XX)
315 Combinatorics (05-XX)
242 Group theory and generalizations (20-XX)
197 Field theory and polynomials (12-XX)
193 Special functions (33-XX)
134 Dynamical systems and ergodic theory (37-XX)
119 Topological groups, Lie groups (22-XX)
110 Commutative algebra (13-XX)
70 Functions of a complex variable (30-XX)
65 Associative rings and algebras (16-XX)
50 Convex and discrete geometry (52-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
49 Approximations and expansions (41-XX)
48 Measure and integration (28-XX)
44 \(K\)-theory (19-XX)
37 Information and communication theory, circuits (94-XX)
35 Sequences, series, summability (40-XX)
34 Computer science (68-XX)
32 Real functions (26-XX)
32 Probability theory and stochastic processes (60-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
23 Several complex variables and analytic spaces (32-XX)
21 Mathematical logic and foundations (03-XX)
17 History and biography (01-XX)
17 Functional analysis (46-XX)
16 Nonassociative rings and algebras (17-XX)
16 Geometry (51-XX)
14 Ordinary differential equations (34-XX)
13 Category theory; homological algebra (18-XX)
11 Numerical analysis (65-XX)
11 Quantum theory (81-XX)
10 Abstract harmonic analysis (43-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Difference and functional equations (39-XX)
8 Operator theory (47-XX)
7 General and overarching topics; collections (00-XX)
7 Integral transforms, operational calculus (44-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Differential geometry (53-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
5 Partial differential equations (35-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 General topology (54-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General algebraic systems (08-XX)
2 Operations research, mathematical programming (90-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

5,319 Publications have been cited 33,764 times in 20,847 Documents Cited by Year
Probabilistic algorithm for testing primality. Zbl 0426.10006
Rabin, Michael O.
113
1980
On a problem of Oppenheim concerning ”Factorisatio Numerorum”. Zbl 0513.10043
Canfield, E. R.; Erdős, Paul; Pomerance, Carl
107
1983
A combinatorial problem on finite Abelian groups. I. Zbl 0169.02003
Olson, J. E.
106
1969
Cyclotomy and difference families in elementary Abelian groups. Zbl 0259.05011
Wilson, Richard M.
101
1972
Ramanujan-type supercongruences. Zbl 1231.11147
Zudilin, Wadim
94
2009
Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036
Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri
92
1995
A note on optimal unimodular lattices. Zbl 0917.11027
Conway, J. H.; Sloane, N. J. A.
88
1998
Low-discrepancy and low-dispersion sequences. Zbl 0651.10034
Niederreiter, Harald
87
1988
On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038
Hildebrand, Adolf
81
1986
The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042
Heath-Brown, D. R.
79
1983
A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004
Olson, J. E.
77
1969
On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048
Kim, Taekyun
77
1999
Sums of products of Bernoulli numbers. Zbl 0863.11011
Dilcher, Karl
75
1996
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
73
1982
A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063
Ohno, Yasuo
72
1999
Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009
Niemeier, Hans-Volker
65
1973
Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019
Silverman, Joseph H.
62
1988
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
62
1989
On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047
Garcia, Arnaldo; Stichtenoth, Henning
62
1996
On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006
Perlis, Robert
61
1977
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
60
1997
The polynomial method and restricted sums of congruence classes. Zbl 0861.11006
Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre
58
1996
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
57
2005
Another congruence for the Apéry numbers. Zbl 0614.10011
Beukers, F.
56
1987
On Hensel factorization. I. Zbl 0188.33703
Zassenhaus, Hans
56
1969
Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079
Bombieri, Enrico; Lagarias, Jeffrey C.
55
1999
Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019
Kisilevsky, H.
54
1976
Matrices associated with classes of arithmetical functions. Zbl 0784.11002
Bourque, Keith; Ligh, Steve
52
1993
A combinatorial problem on finite abelian groups. Zbl 0892.11005
Gao, W. D.
51
1996
The elliptic dilogarithm for the sunset graph. Zbl 1319.81044
Bloch, Spencer; Vanhove, Pierre
51
2015
Badly approximable systems of linear forms. Zbl 0172.06401
Schmidt, W. M.
50
1969
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045
Mortenson, Eric
50
2003
On the divisor and circle problems. Zbl 0644.10031
Iwaniec, H.; Mozzochi, C. J.
47
1988
Quadratic alternating harmonic number sums. Zbl 1310.05014
Sofo, Anthony
47
2015
On Miki’s identity for Bernoulli numbers. Zbl 1073.11013
Gessel, Ira M.
45
2005
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
45
2004
Some congruences for Apery numbers. Zbl 0482.10003
Gessel, Ira
45
1982
An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019
Dujella, Andrej
44
2001
Sequences with subword complexity \(2n\). Zbl 0804.11023
Rote, Günter
44
1994
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024
Kim, Taekyun
44
2012
New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136
Yao, Olivia X. M.; Xia, Ernest X. W.
44
2013
Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014
Agoh, Takashi; Dilcher, Karl
44
2007
An explicit formula for local densities of quadratic forms. Zbl 0930.11021
Yang, Tonghai
44
1998
Apollonian circle packings: Number theory. Zbl 1026.11058
Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H.
43
2003
Torsion units in integral group rings of some metabelian groups. II. Zbl 0611.16007
Marciniak, Z.; Ritter, J.; Sehgal, S. K.; Weiss, A.
43
1987
Mean values of Dedekind sums. Zbl 0851.11028
Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton
43
1996
Note on the Euler \(q\)-zeta functions. Zbl 1221.11231
Kim, Taekyun
43
2009
Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011
Thomas, Emery
43
1990
A relation between Bernoulli numbers. Zbl 0379.10007
Miki, Hiroo
42
1978
On congruences related to central binomial coefficients. Zbl 1261.11019
Sun, Zhi-Wei
41
2011
Modular lattices in Euclidean spaces. Zbl 0874.11038
Quebbemann, H.-G.
40
1995
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
40
1979
Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005
Sun, Zhi-Hong
40
2014
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
40
2003
On the topological structure of univoque sets. Zbl 1111.11005
Komornik, Vilmos; Loreti, Paola
39
2007
\(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007
Kida, Yûji
39
1980
Uniform cyclotomy. Zbl 0475.12026
Baumert, L. D.; Mills, W. H.; Ward, Robert L.
39
1982
Elasticity of factorization in number fields. Zbl 0721.11043
Valenza, R. J.
39
1990
Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007
Weinberger, P. J.
38
1973
Applications of a recurrence for the Bernoulli numbers. Zbl 0844.11019
Howard, F. T.
38
1995
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
38
1983
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
38
1998
Some congruences for the Apéry numbers. Zbl 0571.10008
Beukers, F.
38
1985
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
38
2001
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
38
1990
Jacobians of genus one curves. Zbl 1066.14035
An, Sang Yook; Kim, Seog Young; Marshall, David C.; Marshall, Susan H.; McCallum, William G.; Perlis, Alexander R.
37
2001
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005
Hensley, Doug
37
1992
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
37
1996
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
37
2016
A lower bound for the height in abelian extensions. Zbl 0973.11092
Amoroso, Francesco; Dvornicich, Robert
37
2000
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
37
1979
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
37
2011
Exponential sums with monomials. Zbl 0687.10028
Fouvry, Etienne; Iwaniec, Henryk
37
1989
Euler sums and integrals of polylogarithm functions. Zbl 1349.11054
Xu, Ce; Yan, Yuhuan; Shi, Zhijuan
37
2016
On maximal curves. Zbl 0914.11036
Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando
36
1997
Triple sums and the Riemann zeta function. Zbl 0810.11047
Markett, C.
36
1994
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039
Hensley, Douglas
36
1996
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
36
2009
On Carlitz’s \(q\)-Bernoulli numbers. Zbl 0501.12020
Koblitz, Neal
36
1982
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
36
1985
Class field theory for curves over local fields. Zbl 0599.14008
Saito, Shuji
36
1985
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
36
2006
On Hilbert’s irreducibility theorem. Zbl 0299.12002
Fried, Michael
36
1974
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
35
1987
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
35
1997
On the structure of the irreducible polynomials over local fields. Zbl 0838.11078
Popescu, Nicolae; Zaharescu, Alexandru
35
1995
Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen. Zbl 0404.13004
Trinks, Wolfgang
35
1978
Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\). Zbl 1169.11002
Alaca, Şaban; Williams, Kenneth S.
35
2007
Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026
Barthel, L.; Livné, R.
34
1995
Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. Zbl 0316.10023
Berndt, Bruce C.
34
1975
Congruences concerning Legendre polynomials. II. Zbl 1277.11002
Sun, Zhihong
34
2013
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
34
2007
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. Zbl 1295.11023
Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M.
34
2013
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
34
1998
A formula of S. Ramanujan. Zbl 0606.10032
Sitaramachandrarao, R.
33
1987
On the distribution of Galois groups. Zbl 1022.11058
Malle, Gunter
33
2002
On sums of Apéry polynomials and related congruences. Zbl 1275.11038
Sun, Zhi-Wei
33
2012
New analogues of Ramanujan’s partition identities. Zbl 1213.11182
Chan, Heng Huat; Toh, Pee Choon
33
2010
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005
Pohst, Michael
33
1982
An addition theorem on the integers modulo \(n\). Zbl 0672.10038
Lemke, Paul; Kleitman, Daniel
33
1989
Theta correspondence for almost unramified representations of unitary groups. Zbl 1484.11116
Liu, Yifeng
3
2022
Uniform effective estimates for \(|L (1, \chi)|\). Zbl 07493024
Languasco, Alessandro; Trudgian, Timothy S.
2
2022
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function. Zbl 07493032
Essouabri, Driss; Salinas Zavala, Christoper; Tóth, László
2
2022
Periods of \(t\)-modules as special values. Zbl 07437199
Maurischat, Andreas
2
2022
MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. Zbl 1484.11201
Andrews, George E.; Paule, Peter
2
2022
On explicit estimates for \(S(t)\), \(S_1(t)\), and \(\zeta ( 1 / 2 + \operatorname{i} t )\) under the Riemann hypothesis. Zbl 1489.11124
Simonič, Aleksander
2
2022
Counting zeros of the Riemann zeta function. Zbl 07485548
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie
1
2022
The Katok-Sarnak formula for higher weights. Zbl 07485549
Imamoğlu, Ö.; Lägeler, A.; Tóth, Á.
1
2022
Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4. Zbl 1482.14024
Mitankin, Vladimir; Salgado, Cecília
1
2022
Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 07510288
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken
1
2022
Drinfeld cusp forms: oldforms and newforms. Zbl 07510293
Bandini, Andrea; Valentino, Maria
1
2022
Notes on isocrystals. Zbl 07510301
Kedlaya, Kiran S.
1
2022
On Drinfeld modular forms of higher rank II. Zbl 1485.11090
Gekeler, Ernst-Ulrich
1
2022
On Drinfeld modular forms of higher rank IV: modular forms with level. Zbl 07437194
Gekeler, Ernst-Ulrich
1
2022
On the compactification of the Drinfeld modular curve of level \(\Gamma_1^\Delta(\mathfrak{n})\). Zbl 1489.11090
Hattori, Shin
1
2022
Finding endomorphisms of Drinfeld modules. Zbl 1485.11102
Kuhn, Nikolas; Pink, Richard
1
2022
On multi-poly-Bernoulli-Carlitz numbers. Zbl 1476.11119
Harada, Ryotaro
1
2022
Ergodic functions over \(Z_p\). Zbl 1484.37122
Jeong, Sangtae
1
2022
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. Zbl 1489.11059
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
1
2022
More exact values of the function \(\Gamma^\ast (k)\). Zbl 07452409
Broll, Christopher; Knapp, Michael P.; Kuiper, Jessica A.; Rodrigues, Paulo H. A.; Veras, Daiane
1
2022
Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny. Zbl 07466543
Trbović, Antonela
1
2022
Gamma factors and converse theorems for classical groups over finite fields. Zbl 07466552
Liu, Baiying; Zhang, Qing
1
2022
Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations. Zbl 1489.11186
Kundu, Debanjana; Ray, Anwesh
1
2022
A consequence of the relative Bogomolov conjecture. Zbl 1483.11131
Dimitrov, Vesselin; Gao, Ziyang; Habegger, Philipp
1
2022
The even parity Goldfeld conjecture: congruent number elliptic curves. Zbl 1484.11131
Burungale, Ashay; Tian, Ye
1
2022
Non-commutative analytic subgroup theorem. Zbl 1483.11145
Yafaev, Andrei
1
2022
On shuffle-type functional relations of desingularized multiple zeta-functions. Zbl 1491.11078
Komiyama, Nao
1
2022
Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms. Zbl 1491.11055
Chen, Shih-Yu
1
2022
Abelian capitulation of ray class groups. (Capitulation abélienne des groupes de classes de rayons.) Zbl 1485.11158
Jaulent, Jean-François
1
2022
\(p\)-adic heights and Vologodsky integration. Zbl 07538066
Besser, Amnon
1
2022
Common values of generalized Fibonacci and Pell sequences. Zbl 1471.11049
Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian
6
2021
Hyperelliptic curves and newform coefficients. Zbl 1487.11064
Dembner, Spencer; Jain, Vanshika
4
2021
Satake compactification of analytic Drinfeld modular varieties. Zbl 1466.11036
Häberli, Simon
4
2021
Primitive values of rational functions at primitive elements of a finite field. Zbl 1468.11240
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra
4
2021
Analogues of Alladi’s formula. Zbl 1464.11098
Wang, Biao
4
2021
On an explicit zero-free region for the Dedekind zeta-function. Zbl 1470.11296
Lee, Ethan S.
3
2021
The asymptotic distribution of the rank for unimodal sequences. Zbl 1480.11129
Bringmann, Kathrin; Jennings-Shaffer, Chris; Mahlburg, Karl
3
2021
A generic effective Oppenheim theorem for systems of forms. Zbl 1467.11063
Bandi, Prasuna; Ghosh, Anish; Han, Jiyoung
3
2021
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients. Zbl 1479.11182
El Fadil, Lhoussain
3
2021
Numerical verification of Littlewood’s bounds for \(|L(1,\chi)|\). Zbl 1469.11306
Languasco, Alessandro
2
2021
Inverse problems for minimal complements and maximal supplements. Zbl 1467.11085
Alon, Noga; Kravitz, Noah; Larson, Matt
2
2021
On additive co-minimal pairs. Zbl 1468.11032
Biswas, Arindam; Saha, Jyoti Prakash
2
2021
\(h^1\neq h_1\) for Anderson t-motives. Zbl 07355817
Grishkov, A.; Logachev, D.
2
2021
Quadratic twists of elliptic curves and class numbers. Zbl 1483.11113
Griffin, Michael; Ono, Ken; Tsai, Wei-Lun
2
2021
Parity of coefficients of mock theta functions. Zbl 1483.11081
Wang, Liuquan
2
2021
Modular hyperbolas and bilinear forms of Kloosterman sums. Zbl 1461.11030
Shkredov, I. D.
2
2021
Torsion growth of rational elliptic curves in sextic number fields. Zbl 1469.14071
Gužvić, Tomislav
2
2021
Two identities relating Eisenstein series on classical groups. Zbl 1482.11077
Ginzburg, David; Soudry, David
2
2021
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II. Zbl 1465.11189
Goldston, Daniel A.; Graham, Sidney W.; Panidapu, Apoorva; Pintz, Janos; Schettler, Jordan; Yıldırım, Cem Y.
2
2021
Pairs of rational triangles with equal symmetric invariants. Zbl 1453.14072
Andrica, Dorin; Ţurcaş, George C.
2
2021
An investigation into explicit versions of Burgess’ bound. Zbl 1469.11278
Francis, Forrest J.
2
2021
Ranks in the family of hyperelliptic Jacobians of \(y^2=x^5+ax\). Zbl 1468.11135
Jędrzejak, Tomasz
1
2021
On the moments of the moments of \((\zeta(1/2+it)\). Zbl 1474.11144
Bailey, E. C.; Keating, J. P.
1
2021
Algorithmic classification of noncorrelated binary pattern sequences. Zbl 1468.11086
Konieczny, Jakub
1
2021
Rational points on cubic, quartic and sextic curves over finite fields. Zbl 1461.11095
Oliveira, José Alves
1
2021
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products. Zbl 1469.11103
von Pippich, Anna-Maria; Schwagenscheidt, Markus; Völz, Fabian
1
2021
\(R\)-groups for unitary principal series of Spin groups. Zbl 1472.22009
Ban, Dubravka; Choiy, Kwangho; Goldberg, David
1
2021
Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation. Zbl 1469.11049
Mihăilescu, Preda
1
2021
On the density of the odd values of the partition function and the \(t\)-multipartition function. Zbl 1479.11178
Chen, Shi-Chao
1
2021
Large values of the argument of the Riemann zeta-function and its iterates. Zbl 1476.11112
Chirre, Andrés; Mahatab, Kamalakshya
1
2021
An inequality for coefficients of the real-rooted polynomials. Zbl 1465.05017
Guo, Jeremy J. F.
1
2021
Primitive rational points on expanding horospheres in Hilbert modular surfaces. Zbl 1480.37046
Luethi, Manuel
1
2021
Computing intersections of closed geodesics on the modular curve. Zbl 1473.11088
Rickards, James
1
2021
Bounds for coefficients of the \(f(q)\) mock theta function and applications to partition ranks. Zbl 1469.11099
Gomez, Kevin; Zhu, Eric
1
2021
Optimal spinor selectivity for quaternion bass orders. Zbl 1470.11300
Peng, Deke; Xue, Jiangwei
1
2021
Quasi-inner functions and local factors. Zbl 1476.46071
Connes, Alain; Consani, Caterina
1
2021
Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface. Zbl 1477.11103
Jana, Subhajit
1
2021
Digit expansions of numbers in different bases. Zbl 1477.11137
Burrell, Stuart A.; Yu, Han
1
2021
The error term in the Cesàro mean of the prime pair singular series. Zbl 1484.11186
Goldston, D. A.; Suriajaya, Ade Irma
1
2021
On quadratic numbers and forms, and Markoff theory. Zbl 1478.11094
Reutenauer, Christophe
1
2021
On the Diophantine pair \(\{a,3a\}\). Zbl 1475.11045
Adédji, Kouèssi Norbert; He, Bo; Pintér, Ákos; Togbé, Alain
1
2021
Maximum gap in cyclotomic polynomials. Zbl 07391363
Al-Kateeb, Ala’a; Ambrosino, Mary; Hong, Hoon; Lee, Eunjeong
1
2021
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II. Zbl 1480.11139
Hatley, Jeffrey; Lei, Antonio
1
2021
Arithmetic constraints of polynomial maps through discrete logarithms. Zbl 1472.11305
Reis, Lucas
1
2021
On a problem of Nathanson on minimal asymptotic bases. Zbl 1460.11018
Sun, Cui-Fang
1
2021
A genus formula for the positive étale wild kernel. Zbl 1453.11147
Asensouyis, Hassan; Assim, Jilali; Mazigh, Youness
1
2021
On the sum of squares of the middle-third Cantor set. Zbl 1450.28011
Wang, Zhiqiang; Jiang, Kan; Li, Wenxia; Zhao, Bing
1
2021
Moderate expanders over rings. Zbl 1469.11036
Anh, Dao Nguyen Van; Ham, Le Quang; Koh, Doowon; Mirzaei, Mozhgan; Mojarrad, Hossein; Pham, Thang
1
2021
On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\). Zbl 1469.11207
Morton, Patrick
1
2021
On the values of representation functions. II. Zbl 1459.11032
Jiang, Xing-Wang; Sándor, Csaba; Yang, Quan-Hui
1
2021
Classification of standard modules with linear periods. Zbl 1467.11053
Suzuki, Miyu
1
2021
The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields. Zbl 1464.11095
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija
1
2021
Algebraicity of metaplectic \(L\)-functions. Zbl 1469.11117
Mercuri, Salvatore
1
2021
On the linear independence of values of \(G\)-functions. Zbl 1465.11167
Lepetit, Gabriel
1
2021
On the growth speed of digits in Engel expansions. Zbl 1459.11164
Shang, Lei; Wu, Min
1
2021
On uniform distribution of \(\alpha \beta\)-orbits. Zbl 1453.28004
Chen, Changhao; Wang, Xiaohua; Wen, Shengyou
1
2021
Monomials of Eisenstein series. Zbl 1456.11054
Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou
1
2021
On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\). Zbl 1486.11018
Kebli, Salima; Kihel, Omar; Larone, Jesse; Luca, Florian
1
2021
Fermat’s polygonal number theorem for repeated generalized polygonal numbers. Zbl 1459.11096
Banerjee, Soumyarup; Batavia, Manav; Kane, Ben; Kyranbay, Muratzhan; Park, Dayoon; Saha, Sagnik; So, Hiu Chun; Varyani, Piyush
1
2021
On Galois extensions with prescribed decomposition groups. Zbl 1465.11220
Kim, Kwang-Seob; König, Joachim
1
2021
From Pólya fields to Pólya groups (II) non-Galois number fields. Zbl 1467.11104
Chabert, Jean-Luc; Halberstadt, Emmanuel
1
2021
Algebraic differential independence regarding the Riemann \(\boldsymbol{\zeta}\)-function and the Euler \(\boldsymbol{\Gamma}\)-function. Zbl 1459.11167
Han, Qi; Liu, Jingbo
1
2021
Epsilon factors of representations of finite general linear groups. Zbl 1473.11214
Ye, Rongqing; Zelingher, Elad
1
2021
Elliptic surfaces of rank one and the topology of cubic-line arrangements. Zbl 1453.14091
Bannai, Shinzo; Tokunaga, Hiro-o
1
2021
Asai cube \(L\)-functions and the local Langlands correspondence. Zbl 07300434
Henniart, Guy; Lomelí, Luis
1
2021
A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\). Zbl 1469.11172
Lozano-Robledo, Álvaro
1
2021
\(L\)-series and isomorphisms of number fields. Zbl 1470.11294
Smit, Harry
1
2021
Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields. Zbl 1469.11451
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P.
1
2021
Dirichlet series of integers with missing digits. Zbl 1469.11359
Nathanson, Melvyn B.
1
2021
Minimal generators of the ideal class group. Zbl 1465.11216
Kim, Henry H.
1
2021
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Cited by 12,664 Authors

147 Luca, Florian
138 Shparlinski, Igor E.
121 Kim, Taekyun
74 Zhang, Wenpeng
73 Chen, Yonggao
72 Zaharescu, Alexandru
71 Simsek, Yilmaz
65 Guo, Victor J. W.
64 Murty, Maruti Ram
60 Bugeaud, Yann
59 Kim, Dae San
59 Sun, Zhi-Wei
58 Dubickas, Artūras
58 Hong, Shaofang
56 Togbé, Alain
48 Komatsu, Takao
48 Srivastava, Hari Mohan
46 Moree, Pieter
45 Gao, Weidong
45 Ichimura, Humio
45 Merca, Mircea
45 Qi, Feng
43 Pan, Hao
41 Pollack, Paul
40 Louboutin, Stéphane R.
39 Azizi, Abdelmalek
39 Pomerance, Carl Bernard
39 Xia, Ernest X. W.
38 Dujella, Andrej
38 Geroldinger, Alfred
38 Laurinčikas, Antanas
38 Zhai, Wenguang
37 Kim, Minsoo
37 Sun, Zhihong
36 Shkredov, Il’ya Dmitrievich
35 Barman, Rupam
35 Mauduit, Christian
35 Miller, Steven J.
35 Ono, Ken
35 Tenenbaum, Gérald
35 Xu, Ce
34 Pethő, Attila
34 Ryoo, Cheon Seoung
34 Sárközy, András
33 Araci, Serkan
33 Hajdu, Lajos
33 Pohst, Michael E.
32 Alkan, Emre
32 Grynkiewicz, David J.
32 Kim, Chang Heon
32 Lu, Guangshi
32 Mignotte, Maurice
31 Bayad, Abdelmejid
31 Bennett, Michael A.
31 Larcher, Gerhard
30 Gaál, István
30 Kim, Daeyeoul
30 Matsumoto, Kohji
30 Ziegler, Volker
29 Bringmann, Kathrin
29 Mollin, Richard Anthony
29 Nathanson, Melvyn Bernard
29 Williams, Kenneth S.
28 Allouche, Jean-Paul Simon
28 Cilleruelo, Javier
28 Ghioca, Dragos
28 Hu, Su
28 Nebe, Gabriele
28 Niederreiter, Harald
28 Sofo, Anthony
28 Solé, Patrick
28 Yao, Olivia Xiang Mei
27 Ivić, Aleksandar
27 Liu, Huaning
27 Schmid, Wolfgang Alexander
27 Yuan, Pingzhi
27 Zudilin, Wadim
26 Baruah, Nayandeep Deka
26 Choi, Soyoung
26 Erdős, Pál
26 Lalín, Matilde Noemí
26 Lee, Yoonjin
26 Liu, Jicai
26 Oh, Byeong-Kweon
26 Thakur, Dinesh S.
26 Tsumura, Hirofumi
25 Acikgoz, Mehmet
25 Choie, YoungJu
25 Cochrane, Todd
25 Lei, Antonio
25 Lu, Dawei
25 Sanna, Carlo
25 Zekhnini, Abdelkader
24 Berndt, Bruce Carl
24 Guo, Bai-Ni
24 Jung, Hwanyup
24 Kohnen, Winfried
24 Mahadeva Naika, Megadahalli Sidda
24 Masser, David William
24 Zannier, Umberto M.
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Cited in 709 Journals

3,226 Journal of Number Theory
915 International Journal of Number Theory
583 The Ramanujan Journal
506 Proceedings of the American Mathematical Society
452 Journal de Théorie des Nombres de Bordeaux
428 Mathematics of Computation
385 Transactions of the American Mathematical Society
343 Journal of Algebra
319 Finite Fields and their Applications
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274 Discrete Mathematics
273 Acta Arithmetica
260 Mathematische Zeitschrift
244 Journal of Mathematical Analysis and Applications
224 Bulletin of the Australian Mathematical Society
220 Advances in Mathematics
218 Mathematische Annalen
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198 Functiones et Approximatio. Commentarii Mathematici
194 Rocky Mountain Journal of Mathematics
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178 Compositio Mathematica
172 Journal of Pure and Applied Algebra
170 Integers
168 Proceedings of the Japan Academy. Series A
166 Research in Number Theory
157 Communications in Algebra
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151 Journal of Combinatorial Theory. Series A
150 Annales de l’Institut Fourier
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149 Mathematika
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121 Duke Mathematical Journal
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117 Periodica Mathematica Hungarica
114 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
113 European Journal of Combinatorics
107 Designs, Codes and Cryptography
100 Comptes Rendus. Mathématique. Académie des Sciences, Paris
99 Journal für die Reine und Angewandte Mathematik
98 Journal of High Energy Physics
95 Forum Mathematicum
94 Results in Mathematics
93 Theoretical Computer Science
93 Linear Algebra and its Applications
90 Journal of Inequalities and Applications
89 Lithuanian Mathematical Journal
88 Nagoya Mathematical Journal
88 Advances in Difference Equations
83 Mathematical Notes
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76 Acta Mathematica Sinica. English Series
76 Science China. Mathematics
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62 Applied Mathematics and Computation
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62 Research in the Mathematical Sciences
60 Annals of Mathematics. Second Series
59 The Electronic Journal of Combinatorics
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57 Journal of Computational and Applied Mathematics
55 Czechoslovak Mathematical Journal
55 LMS Journal of Computation and Mathematics
55 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
53 Mathematica Slovaca
53 Journal of the Ramanujan Mathematical Society
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47 Indian Journal of Pure & Applied Mathematics
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46 Integral Transforms and Special Functions
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44 Proceedings of the Steklov Institute of Mathematics
44 Algebra & Number Theory
44 AIMS Mathematics
42 Journal of the European Mathematical Society (JEMS)
40 Tôhoku Mathematical Journal. Second Series
39 American Mathematical Monthly
38 International Journal of Mathematics
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37 Combinatorica
37 Documenta Mathematica
35 Semigroup Forum
35 Annales Mathématiques du Québec
34 Journal d’Analyse Mathématique
34 Journal of the Mathematical Society of Japan
34 Proceedings of the Edinburgh Mathematical Society. Series II
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Cited in 62 Fields

17,408 Number theory (11-XX)
2,119 Algebraic geometry (14-XX)
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570 Commutative algebra (13-XX)
540 Computer science (68-XX)
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