×

zbMATH — the first resource for mathematics

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: 6,497 Publications (since 1969)
References Indexed: 5,915 Publications with 87,008 References.
all top 5

Authors

50 Luca, Florian
40 Chen, Yonggao
33 Erdős, Pál
30 Murty, Maruti Ram
29 Shparlinski, Igor E.
23 Sun, Zhi-Wei
21 Nathanson, Melvyn Bernard
19 Chowla, Sarvadaman
19 Sárközy, András
19 Zaharescu, Alexandru
19 Zhang, Wenpeng
18 Kim, Chang Heon
17 Byeon, Dongho
17 Lu, Guangshi
17 Miller, Steven J.
17 Pohst, Michael E.
16 Hajdu, Lajos
16 Tzanakis, Nikos
16 Williams, Kenneth S.
15 Bremner, Andrew
15 Jeong, Sangtae
15 Louboutin, Stéphane R.
15 Young, Paul Thomas
14 Oh, Byeong-Kweon
14 Pan, Hao
14 Sun, Zhihong
13 Cochrane, Todd
13 Jeon, Daeyeol
13 Pethő, Attila
13 Pollack, Paul
13 Ruzsa, Imre Z.
13 Sander, Jürgen W.
12 Buium, Alexandru
12 Choi, Soyoung
12 Gao, Weidong
12 Gekeler, Ernst-Ulrich
12 Hu, Su
12 Im, Bo-Hae
12 Kim, Minsoo
12 Moree, Pieter
12 Ulas, Maciej
12 Yokota, Hisashi
12 Zassenhaus, Hans Julius
12 Zhai, Wenguang
11 Anglès, Bruno
11 Chen, Chaoping
11 Halter-Koch, Franz
11 Lagarias, Jeffrey C.
11 Lee, Yoonjin
11 Lu, Dawei
11 Merca, Mircea
11 Parry, Charles J.
11 Pomerance, Carl Bernard
11 Silverman, Joseph Hillel
11 Togbé, Alain
11 Washington, Lawrence C.
10 Alkan, Emre
10 Andrews, George Eyre
10 Eie, Minking
10 Filaseta, Michael A.
10 Gaál, István
10 Hall, Richard R.
10 Mauduit, Christian
10 Ono, Ken
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 Garcia, Stephan Ramon
9 Girstmair, Kurt
9 Hong, Shaofang
9 Keating, Kevin
9 Komatsu, Takao
9 Kučera, Radan
9 Li, Wen-Ch’ing Winnie
9 Matala-aho, Tapani
9 Mignotte, Maurice
9 Morton, Patrick
9 Walling, Lynne H.
8 Agoh, Takashi
8 Balasubramanian, Ramachandran
8 Bayad, Abdelmejid
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 Gras, Georges
8 Grundman, Helen G.
8 Gun, Sanoli
8 Guo, Victor J. W.
8 Hans-Gill, Rajinder J.
8 Harman, Glyn
8 Hegyvári, Norbert
...and 4,854 more Authors
all top 5

Fields

6,201 Number theory (11-XX)
642 Algebraic geometry (14-XX)
308 Combinatorics (05-XX)
233 Group theory and generalizations (20-XX)
188 Field theory and polynomials (12-XX)
186 Special functions (33-XX)
123 Dynamical systems and ergodic theory (37-XX)
112 Topological groups, Lie groups (22-XX)
105 Commutative algebra (13-XX)
64 Functions of a complex variable (30-XX)
62 Associative rings and algebras (16-XX)
49 Approximations and expansions (41-XX)
49 Convex and discrete geometry (52-XX)
48 Linear and multilinear algebra; matrix theory (15-XX)
48 Measure and integration (28-XX)
44 \(K\)-theory (19-XX)
37 Information and communication theory, circuits (94-XX)
33 Sequences, series, summability (40-XX)
32 Computer science (68-XX)
31 Real functions (26-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
29 Probability theory and stochastic processes (60-XX)
22 Several complex variables and analytic spaces (32-XX)
20 Mathematical logic and foundations (03-XX)
17 Functional analysis (46-XX)
16 History and biography (01-XX)
16 Geometry (51-XX)
15 Nonassociative rings and algebras (17-XX)
14 Ordinary differential equations (34-XX)
13 Category theory; homological algebra (18-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Numerical analysis (65-XX)
10 Quantum theory (81-XX)
9 Abstract harmonic analysis (43-XX)
8 Difference and functional equations (39-XX)
8 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Integral transforms, operational calculus (44-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 General and overarching topics; collections (00-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 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

5,031 Publications have been cited 30,055 times in 18,813 Documents Cited by Year
Probabilistic algorithm for testing primality. Zbl 0426.10006
Rabin, Michael O.
104
1980
On a problem of Oppenheim concerning ”Factorisatio Numerorum”. Zbl 0513.10043
Canfield, E. R.; Erdős, Paul; Pomerance, Carl
101
1983
Cyclotomy and difference families in elementary Abelian groups. Zbl 0259.05011
Wilson, Richard M.
100
1972
A combinatorial problem on finite Abelian groups. I. Zbl 0169.02003
Olson, J. E.
92
1969
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
85
1988
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
81
1995
Ramanujan-type supercongruences. Zbl 1231.11147
Zudilin, Wadim
81
2009
On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038
Hildebrand, Adolf
78
1986
On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048
Kim, Taekyun
75
1999
Sums of products of Bernoulli numbers. Zbl 0863.11011
Dilcher, Karl
73
1996
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
70
1982
A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004
Olson, J. E.
68
1969
A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063
Ohno, Yasuo
67
1999
The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042
Heath-Brown, D. R.
64
1983
Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009
Niemeier, Hans-Volker
63
1973
On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006
Perlis, Robert
59
1977
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
58
1997
The polynomial method and restricted sums of congruence classes. Zbl 0861.11006
Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre
57
1996
On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047
Garcia, Arnaldo; Stichtenoth, Henning
57
1996
Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019
Silverman, Joseph H.
57
1988
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
56
1989
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
55
2005
Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079
Bombieri, Enrico; Lagarias, Jeffrey C.
53
1999
Another congruence for the Apéry numbers. Zbl 0614.10011
Beukers, F.
51
1987
On Hensel factorization. I. Zbl 0188.33703
Zassenhaus, Hans
51
1969
Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019
Kisilevsky, H.
51
1976
Matrices associated with classes of arithmetical functions. Zbl 0784.11002
Bourque, Keith; Ligh, Steve
47
1993
A combinatorial problem on finite abelian groups. Zbl 0892.11005
Gao, W. D.
46
1996
On the divisor and circle problems. Zbl 0644.10031
Iwaniec, H.; Mozzochi, C. J.
46
1988
The elliptic dilogarithm for the sunset graph. Zbl 1319.81044
Bloch, Spencer; Vanhove, Pierre
46
2015
Badly approximable systems of linear forms. Zbl 0172.06401
Schmidt, W. M.
45
1969
Sequences with subword complexity \(2n\). Zbl 0804.11023
Rote, Günter
43
1994
Note on the Euler \(q\)-zeta functions. Zbl 1221.11231
Kim, Taekyun
43
2009
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045
Mortenson, Eric
42
2003
Apollonian circle packings: Number theory. Zbl 1026.11058
Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H.
42
2003
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
42
2004
Torsion units in integral group rings of some metabelian groups. II. Zbl 0611.16007
Marciniak, Z.; Ritter, J.; Sehgal, S. K.; Weiss, A.
42
1987
Some congruences for Apery numbers. Zbl 0482.10003
Gessel, Ira
41
1982
Mean values of Dedekind sums. Zbl 0851.11028
Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton
40
1996
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
40
2003
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
40
1979
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024
Kim, Taekyun
40
2012
Quadratic alternating harmonic number sums. Zbl 1310.05014
Sofo, Anthony
40
2015
Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014
Agoh, Takashi; Dilcher, Karl
40
2007
Modular lattices in Euclidean spaces. Zbl 0874.11038
Quebbemann, H.-G.
39
1995
On Miki’s identity for Bernoulli numbers. Zbl 1073.11013
Gessel, Ira M.
39
2005
An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019
Dujella, Andrej
39
2001
Uniform cyclotomy. Zbl 0475.12026
Baumert, L. D.; Mills, W. H.; Ward, Robert L.
39
1982
Applications of a recurrence for the Bernoulli numbers. Zbl 0844.11019
Howard, F. T.
38
1995
Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011
Thomas, Emery
38
1990
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
37
2001
\(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007
Kida, Yûji
37
1980
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
37
1983
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
37
1998
A lower bound for the height in abelian extensions. Zbl 0973.11092
Amoroso, Francesco; Dvornicich, Robert
36
2000
A relation between Bernoulli numbers. Zbl 0379.10007
Miki, Hiroo
36
1978
New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136
Yao, Olivia X. M.; Xia, Ernest X. W.
36
2013
On Hilbert’s irreducibility theorem. Zbl 0299.12002
Fried, Michael
36
1974
On maximal curves. Zbl 0914.11036
Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando
35
1997
Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen. Zbl 0404.13004
Trinks, Wolfgang
35
1978
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
35
1996
Class field theory for curves over local fields. Zbl 0599.14008
Saito, Shuji
35
1985
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.
35
2001
On Carlitz’s \(q\)-Bernoulli numbers. Zbl 0501.12020
Koblitz, Neal
35
1982
An explicit formula for local densities of quadratic forms. Zbl 0930.11021
Yang, Tonghai
35
1998
Elasticity of factorization in number fields. Zbl 0721.11043
Valenza, R. J.
35
1990
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
35
1990
Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007
Weinberger, P. J.
35
1973
Exponential sums with monomials. Zbl 0687.10028
Fouvry, Etienne; Iwaniec, Henryk
34
1989
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
34
2006
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
34
1985
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
33
1997
Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026
Barthel, L.; Livné, R.
33
1995
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
33
1979
Some congruences for the Apéry numbers. Zbl 0571.10008
Beukers, F.
33
1985
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005
Hensley, Doug
33
1992
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
33
2009
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.
33
2007
Triple sums and the Riemann zeta function. Zbl 0810.11047
Markett, C.
32
1994
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
32
1987
On the topological structure of univoque sets. Zbl 1111.11005
Komornik, Vilmos; Loreti, Paola
32
2007
On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. Zbl 0478.12005
Pohst, Michael
32
1982
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
32
1998
On the structure of the irreducible polynomials over local fields. Zbl 0838.11078
Popescu, Nicolae; Zaharescu, Alexandru
31
1995
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039
Hensley, Douglas
31
1996
Euclidean algorithms are Gaussian. Zbl 1114.11092
Baladi, Viviane; Vallée, Brigitte
31
2005
Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind. Zbl 0446.10022
Good, A.
31
1981
On congruences related to central binomial coefficients. Zbl 1261.11019
Sun, Zhi-Wei
31
2011
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
31
2011
A formula of S. Ramanujan. Zbl 0606.10032
Sitaramachandrarao, R.
31
1987
\(q\)-analogue of Riemann’s \(\zeta\)-function and \(q\)-Euler numbers. Zbl 0675.12010
Satoh, Junya
31
1989
On sums of squares and on elliptic curves over function fields. Zbl 0217.04302
Cassels, J. W. S.; Ellison, W. J.; Pfister, A.
31
1971
Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. Zbl 0316.10023
Berndt, Bruce C.
31
1975
Euler sums and integrals of polylogarithm functions. Zbl 1349.11054
Xu, Ce; Yan, Yuhuan; Shi, Zhijuan
31
2016
The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums. Zbl 0869.11003
Ayyad, Anwar; Cochrane, Todd; Zheng, Zhiyong
30
1996
The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I. Zbl 1083.11057
Matsumoto, Kohji
30
2003
An addition theorem on the integers modulo \(n\). Zbl 0672.10038
Lemke, Paul; Kleitman, Daniel
30
1989
The number of steps in the Euclidean algorithm. Zbl 0206.33502
Dixon, J. D.
30
1970
Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005
Sun, Zhi-Hong
30
2014
A generic effective Oppenheim theorem for systems of forms. Zbl 1467.11063
Bandi, Prasuna; Ghosh, Anish; Han, Jiyoung
2
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 07257227
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 07257228
Morton, Patrick
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
Analogues of Alladi’s formula. Zbl 1464.11098
Wang, Biao
1
2021
Asai cube \(L\)-functions and the local Langlands correspondence. Zbl 07300434
Henniart, Guy; Lomelí, Luis
1
2021
Numerical verification of Littlewood’s bounds for \(|L(1,\chi)|\). Zbl 07329220
Languasco, Alessandro
1
2021
Algorithmic classification of noncorrelated binary pattern sequences. Zbl 07329230
Konieczny, Jakub
1
2021
Inverse problems for minimal complements and maximal supplements. Zbl 1467.11085
Alon, Noga; Kravitz, Noah; Larson, Matt
1
2021
On additive co-minimal pairs. Zbl 07329235
Biswas, Arindam; Saha, Jyoti Prakash
1
2021
On the density of the odd values of the partition function and the \(t\)-multipartition function. Zbl 07355822
Chen, Shi-Chao
1
2021
Common values of generalized Fibonacci and Pell sequences. Zbl 07356685
Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian
1
2021
Quasi-inner functions and local factors. Zbl 07356687
Connes, Alain; Consani, Caterina
1
2021
Digit expansions of numbers in different bases. Zbl 07356692
Burrell, Stuart A.; Yu, Han
1
2021
On quadratic numbers and forms, and Markoff theory. Zbl 07367587
Reutenauer, Christophe
1
2021
Satake compactification of analytic Drinfeld modular varieties. Zbl 1466.11036
Häberli, Simon
1
2021
Primitive values of rational functions at primitive elements of a finite field. Zbl 07276959
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra
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
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
Torsion growth of rational elliptic curves in sextic number fields. Zbl 07276987
Gužvić, Tomislav
1
2021
On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. Zbl 1447.11025
Ddamulira, Mahadi; Luca, Florian
5
2020
Poissonian pair correlation in higher dimensions. Zbl 1445.11077
Steinerberger, Stefan
4
2020
Gamma factors for the asai representation of \(\mathrm{GL}_2\). Zbl 1461.11076
Chen, Shih-Yu; Cheng, Yao; Ishikawa, Isao
4
2020
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). Zbl 1446.11210
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
3
2020
Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\). Zbl 1457.11143
Maarefparvar, Abbas; Rajaei, Ali
3
2020
Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function. Zbl 1450.11002
Garcia, Stephan Ramon; Luca, Florian; Shi, Kye; Udell, Gabe
3
2020
On iterated extensions of number fields arising from quadratic polynomial maps. Zbl 07152993
Yamamoto, Kota
3
2020
Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. Zbl 07152997
Gao, Peng; Zhao, Liangyi
3
2020
Indecomposable integers in real quadratic fields. Zbl 1445.11120
Tinková, Magdaléna; Voutier, Paul
3
2020
On a sum involving the Euler function. Zbl 1437.11119
Zhai, Wenguang
3
2020
Three convolution inequalities on the real line with connections to additive combinatorics. Zbl 1447.11008
Barnard, Richard C.; Steinerberger, Stefan
2
2020
Modular hyperbolas and Beatty sequences. Zbl 07137124
Technau, Marc
2
2020
Additive twists and a conjecture by Mazur, Rubin and Stein. Zbl 1439.11129
Diamantis, Nikolaos; Hoffstein, Jeffrey; Kıral, Eren Mehmet; Lee, Min
2
2020
Mahler measure of a non-tempered Weierstrass form. Zbl 1445.11122
Giard, Antoine
2
2020
Addendum to: “Reductions of algebraic integers”. Zbl 1454.11204
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano
2
2020
On Serre’s modularity conjecture and Fermat’s equation over quadratic imaginary fields of class number one. Zbl 07153005
Ţurcaş, George C.
2
2020
Non-real poles and irregularity of distribution. Zbl 1459.11176
Lowry-Duda, David
2
2020
Unramified extensions over low degree number fields. Zbl 07183706
König, Joachim; Neftin, Danny; Sonn, Jack
2
2020
Asymptotic complements in the integers. Zbl 07202821
Biswas, Arindam; Saha, Jyoti Prakash
2
2020
On the l.c.m. of random terms of binary recurrence sequences. Zbl 07202825
Sanna, Carlo
2
2020
Elliptic curves and lower bounds for class numbers. Zbl 07206981
Griffin, Michael; Ono, Ken
2
2020
Graded rings of integral Jacobi forms. Zbl 1446.11088
Gritsenko, Valery; Wang, Haowu
2
2020
On perfect powers that are sums of cubes of a seven term arithmetic progression. Zbl 1459.11090
Argáez-García, Alejandro; Patel, Vandita
2
2020
Value-distribution of cubic Hecke \(L\)-functions. Zbl 07114411
Akbary, Amir; Hamieh, Alia
1
2020
A uniqueness property of general Dirichlet series. Zbl 07114412
Dixit, Anup B.
1
2020
Lübeck’s classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups. Zbl 07114415
Zenteno, Adrián
1
2020
The second moment of quadratic Dirichlet \(L\)-functions. Zbl 1460.11112
Sono, Keiju
1
2020
Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes. Zbl 07114419
Wu, Jie
1
2020
Metacommutation of primes in central simple algebras. Zbl 1454.11205
Chari, Sara
1
2020
Infinite families of irregular primes in cyclotomic function fields. Zbl 1444.11232
Lee, Jungyun; Lee, Yoonjin
1
2020
Demailly’s conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\). Zbl 1423.14047
Chang, Yu-Lin; Jow, Shin-Yao
1
2020
Isogeny graphs with maximal real multiplication. Zbl 1457.11082
Ionica, Sorina; Thomé, Emmanuel
1
2020
Plausible ways for calculating the Riemann zeta function via the Riemann-Siegel theta function. Zbl 07118793
Matiyasevich, Yu.
1
2020
Weyl bound for GL(2) in \(t\)-aspect via a simple delta method. Zbl 1446.11092
Aggarwal, Keshav
1
2020
Sums of sets of abelian group elements. Zbl 1464.11031
Gao, Weidong; Huang, Meiling; Hui, Wanzhen; Li, Yuanlin; Liu, Chao; Peng, Jiangtao
1
2020
Intersection numbers of modular correspondences for genus zero modular curves. Zbl 1440.11070
Murakami, Yuya
1
2020
Primitive divisors of sequences associated to elliptic curves. Zbl 07152998
Verzobio, Matteo
1
2020
Remarks on Kato’s Euler systems for elliptic curves with additive reduction. Zbl 1465.11211
Kim, Chan-Ho; Nakamura, Kentaro
1
2020
Hilbert modularity of some double octic Calabi-Yau threefolds. Zbl 1445.14059
Cynk, Sławomir; Schütt, Matthias; van Straten, Duco
1
2020
Galois action on the Néron-Severi group of Dwork surfaces. Zbl 1455.11092
Duan, Lian
1
2020
Large arboreal Galois representations. Zbl 07161186
Kadets, Borys
1
2020
Erratum to: “Large sieve inequality with power moduli for function field”. Zbl 1448.11162
Baier, Stephan; Singh, Rajneesh Kumar
1
2020
Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions. II. Zbl 1465.11179
Bordignon, Matteo
1
2020
Equidistribution results for sequences of polynomials. Zbl 1452.11091
Baker, Simon
1
2020
On a class of Lebesgue-Ljunggren-Nagell type equations. Zbl 1461.11051
Dąbrowski, Andrzej; Günhan, Nursena; Soydan, Gökhan
1
2020
On Andrews’ integer partitions with even parts below odd parts. Zbl 1444.05014
Ray, Chiranjit; Barman, Rupam
1
2020
On a generalization of a conjecture of Grosswald. Zbl 07226989
Banerjee, Pradipto; Bera, Ranjan
1
2020
On the mu and lambda invariants of the logarithmic class group. Zbl 07226990
Villanueva-Gutiérrez, José-Ibrahim
1
2020
On the error term concerning the number of subgroups of the groups \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(mn \leq x\). Zbl 1455.11130
Sui, Yankun; Liu, Dan
1
2020
Depth reductions for associators. Zbl 07242305
Jarossay, David
1
2020
On subsequence sums of a zero-sum free sequence over finite abelian groups. Zbl 07242306
Peng, Jiangtao; Li, Yuanlin; Liu, Chao; Huang, Meiling
1
2020
On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\). Zbl 07242309
Altassan, Alaa; Luca, Florian
1
2020
Polynomial analogue of the Smarandache function. Zbl 07242313
Li, Xiumei; Sha, Min
1
2020
Zeroes of quaternionic modular forms and central \(L\)-values. Zbl 07242320
Martin, Kimball; Wiebe, Jordan
1
2020
Endomorphism rings of reductions of Drinfeld modules. Zbl 1439.11140
Garai, Sumita; Papikian, Mihran
1
2020
Constructing certain special analytic Galois extensions. Zbl 1467.11106
Ray, Anwesh
1
2020
Bounds on the period of the continued fraction after a Möbius transformation. Zbl 1444.11018
Řada, Hanka; Starosta, Štěpán
1
2020
An arithmetic site at the complex place. Zbl 1458.11109
Sagnier, Aurélien
1
2020
On the constant in the Pólya-Vinogradov inequality. Zbl 1439.11194
Kerr, Bryce
1
2020
On the density or measure of sets and their sumsets in the integers or the circle. Zbl 07183715
Bienvenu, Pierre-Yves; Hennecart, François
1
2020
An average of generalized Dedekind sums. Zbl 1445.11028
Dillon, Travis; Gaston, Stephanie
1
2020
An elementary bound on Siegel zeroes. Zbl 1445.11086
Morrill, Thomas; Trudgian, Tim
1
2020
Dynamical models for Liouville and obstructions to further progress on sign patterns. Zbl 1464.37003
Sawin, Will
1
2020
Heron triangles and their elliptic curves. Zbl 1450.11053
Halbeisen, Lorenz; Hungerbühler, Norbert
1
2020
On quadratic progression sequences on smooth plane curves. Zbl 1435.14030
Badr, Eslam; Sadek, Mohammad
1
2020
Hilbert modular polynomials. Zbl 1442.11171
Martindale, Chloe
1
2020
Regular ternary triangular forms. Zbl 1446.11058
Kim, Mingyu; Oh, Byeong-Kweon
1
2020
Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic. Zbl 07206993
Booher, Jeremy; Pries, Rachel
1
2020
Hopf-Galois structures on finite extensions with almost simple Galois group. Zbl 1459.12002
Tsang, Cindy
1
2020
Asymptotic lower bound of class numbers along a Galois representation. Zbl 1454.11200
Ohshita, Tatsuya
1
2020
On exceptional sets of biquadratic Waring-Goldbach problem. Zbl 1445.11110
Feng, Zhenzhen; Liu, Zhixin; Ma, Jing
1
2020
Diophantine approximation over Piatetski-Shapiro primes. Zbl 1439.11160
Li, Taiyu; Liu, Huafeng
1
2020
A note on the mean value of \(L(\frac{1}{2}, \chi)\) in the real hyperelliptic ensemble. Zbl 1441.11290
Jung, Hwanyup
1
2020
Almost primes and the Banks-Martin conjecture. Zbl 1437.11136
Lichtman, Jared Duker
1
2020
Explicit calculations with Eisenstein series. Zbl 1454.11083
Young, Matthew P.
10
2019
Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus. Zbl 1443.81054
D’Hoker, Eric; Green, Michael B.; Vanhove, Pierre
10
2019
Polynomial identities implying Capparelli’s partition theorems. Zbl 1418.05016
Berkovich, Alexander; Uncu, Ali Kemal
8
2019
...and 1132 more Documents
all top 5

Cited by 11,611 Authors

133 Luca, Florian
130 Shparlinski, Igor E.
110 Kim, Taekyun
70 Zaharescu, Alexandru
69 Chen, Yonggao
63 Zhang, Wenpeng
61 Simsek, Yilmaz
59 Sun, Zhi-Wei
58 Murty, Maruti Ram
56 Bugeaud, Yann
56 Guo, Victor J. W.
55 Dubickas, Artūras
50 Kim, Dae San
46 Togbé, Alain
45 Moree, Pieter
44 Hong, Shaofang
44 Srivastava, Hari Mohan
43 Ichimura, Humio
42 Komatsu, Takao
39 Gao, Weidong
39 Louboutin, Stéphane R.
38 Pan, Hao
37 Geroldinger, Alfred
37 Merca, Mircea
37 Pollack, Paul
36 Pomerance, Carl Bernard
36 Sun, Zhihong
34 Azizi, Abdelmalek
34 Dujella, Andrej
34 Kim, Minsoo
34 Pethő, Attila
34 Qi, Feng
34 Tenenbaum, Gérald
34 Xia, Ernest X. W.
33 Sárközy, András
33 Shkredov, Il’ya Dmitrievich
33 Zhai, Wenguang
32 Alkan, Emre
32 Mauduit, Christian
32 Mignotte, Maurice
32 Miller, Steven J.
32 Pohst, Michael E.
31 Barman, Rupam
31 Larcher, Gerhard
31 Lu, Guangshi
31 Ono, Ken
30 Araci, Serkan
30 Hajdu, Lajos
30 Laurinčikas, Antanas
29 Bennett, Michael A.
29 Grynkiewicz, David J.
29 Mollin, Richard Anthony
29 Ryoo, Cheon Seoung
28 Cilleruelo, Javier
28 Kim, Chang Heon
28 Kim, Daeyeoul
28 Niederreiter, Harald
28 Solé, Patrick
28 Williams, Kenneth S.
28 Xu, Ce
27 Bringmann, Kathrin
27 Gaál, István
27 Ivić, Aleksandar P.
27 Nebe, Gabriele
27 Schmid, Wolfgang Alexander
27 Ziegler, Volker
26 Bayad, Abdelmejid
26 Erdős, Pál
26 Liu, Jicai
26 Matsumoto, Kohji
26 Nathanson, Melvyn Bernard
26 Tsumura, Hirofumi
26 Zudilin, Wadim
25 Allouche, Jean-Paul Simon
25 Choie, YoungJu
25 Ghioca, Dragos
25 Hu, Su
25 Lu, Dawei
25 Oh, Byeong-Kweon
25 Thakur, Dinesh S.
25 Yao, Olivia Xiang Mei
25 Yuan, Pingzhi
24 Acikgoz, Mehmet
24 Cochrane, Todd
24 Liu, Huaning
24 Rosales, José Carlos
24 Sofo, Anthony
23 Baruah, Nayandeep Deka
23 Berndt, Bruce Carl
23 Choi, Soyoung
23 Coffey, Mark William
23 Kohnen, Winfried
22 Anglès, Bruno
22 Chabert, Jean-Luc
22 Eie, Minking
22 Lee, Yoonjin
22 Masser, David William
22 Nowak, Werner Georg
22 Rim, Seog-Hoon
22 Sha, Min
...and 11,511 more Authors
all top 5

Cited in 676 Journals

3,092 Journal of Number Theory
835 International Journal of Number Theory
485 The Ramanujan Journal
479 Proceedings of the American Mathematical Society
432 Journal de Théorie des Nombres de Bordeaux
415 Mathematics of Computation
367 Transactions of the American Mathematical Society
323 Journal of Algebra
290 Finite Fields and their Applications
268 Monatshefte für Mathematik
259 Discrete Mathematics
219 Journal of Mathematical Analysis and Applications
216 Mathematische Zeitschrift
214 Acta Arithmetica
206 Bulletin of the Australian Mathematical Society
203 Archiv der Mathematik
202 Advances in Mathematics
202 Mathematische Annalen
199 Manuscripta Mathematica
178 Rocky Mountain Journal of Mathematics
177 Israel Journal of Mathematics
173 Compositio Mathematica
167 Functiones et Approximatio. Commentarii Mathematici
163 Proceedings of the Japan Academy. Series A
162 Journal of Pure and Applied Algebra
149 Mathematika
147 Inventiones Mathematicae
145 Journal of Combinatorial Theory. Series A
144 Communications in Algebra
142 Annales de l’Institut Fourier
133 Research in Number Theory
131 Integers
129 Journal of Symbolic Computation
122 Experimental Mathematics
119 Mathematical Proceedings of the Cambridge Philosophical Society
117 Duke Mathematical Journal
114 Acta Mathematica Hungarica
113 Indagationes Mathematicae. New Series
109 European Journal of Combinatorics
106 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
103 Designs, Codes and Cryptography
96 Journal of High Energy Physics
96 Comptes Rendus. Mathématique. Académie des Sciences, Paris
93 Journal für die Reine und Angewandte Mathematik
89 Theoretical Computer Science
87 Linear Algebra and its Applications
84 Periodica Mathematica Hungarica
83 Nagoya Mathematical Journal
81 Mathematical Notes
81 Results in Mathematics
79 Lithuanian Mathematical Journal
76 Advances in Difference Equations
73 Forum Mathematicum
73 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
73 Acta Mathematica Sinica. English Series
72 Science China. Mathematics
70 Glasgow Mathematical Journal
68 Advances in Applied Mathematics
64 Journal of Inequalities and Applications
59 Research in the Mathematical Sciences
58 Applied Mathematics and Computation
58 Ergodic Theory and Dynamical Systems
56 Journal of Computational and Applied Mathematics
56 Annals of Mathematics. Second Series
55 LMS Journal of Computation and Mathematics
51 Journal of Algebra and its Applications
50 Tokyo Journal of Mathematics
49 Bulletin of the American Mathematical Society. New Series
48 Journal of Mathematical Sciences (New York)
48 Journal of the Australian Mathematical Society
47 Discrete Applied Mathematics
45 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
44 Czechoslovak Mathematical Journal
44 Journal of Soviet Mathematics
44 Algebra & Number Theory
43 Journal of the American Mathematical Society
42 Integral Transforms and Special Functions
41 Proceedings of the Steklov Institute of Mathematics
40 Mathematica Slovaca
40 Selecta Mathematica. New Series
39 Journal of Integer Sequences
38 Tohoku Mathematical Journal. Second Series
37 International Journal of Mathematics
36 Indian Journal of Pure & Applied Mathematics
36 Journal of the Institute of Mathematics of Jussieu
35 Combinatorica
35 Turkish Journal of Mathematics
34 Journal of the Mathematical Society of Japan
34 Semigroup Forum
34 Abstract and Applied Analysis
33 Journal of Approximation Theory
33 Journal of the European Mathematical Society (JEMS)
33 Open Mathematics
32 Proceedings of the Edinburgh Mathematical Society. Series II
31 American Mathematical Monthly
31 Journal d’Analyse Mathématique
31 Linear and Multilinear Algebra
31 Applicable Algebra in Engineering, Communication and Computing
31 Documenta Mathematica
31 Mediterranean Journal of Mathematics
...and 576 more Journals
all top 5

Cited in 62 Fields

15,659 Number theory (11-XX)
1,911 Algebraic geometry (14-XX)
1,845 Combinatorics (05-XX)
1,039 Group theory and generalizations (20-XX)
892 Special functions (33-XX)
697 Field theory and polynomials (12-XX)
622 Dynamical systems and ergodic theory (37-XX)
529 Commutative algebra (13-XX)
498 Computer science (68-XX)
481 Information and communication theory, circuits (94-XX)
385 Topological groups, Lie groups (22-XX)
336 Functions of a complex variable (30-XX)
314 Associative rings and algebras (16-XX)
292 Measure and integration (28-XX)
290 Linear and multilinear algebra; matrix theory (15-XX)
289 Numerical analysis (65-XX)
246 Convex and discrete geometry (52-XX)
241 Probability theory and stochastic processes (60-XX)
228 Quantum theory (81-XX)
205 Real functions (26-XX)
196 Harmonic analysis on Euclidean spaces (42-XX)
178 Approximations and expansions (41-XX)
151 \(K\)-theory (19-XX)
138 Functional analysis (46-XX)
135 Several complex variables and analytic spaces (32-XX)
130 Mathematical logic and foundations (03-XX)
118 Sequences, series, summability (40-XX)
101 Nonassociative rings and algebras (17-XX)
92 Global analysis, analysis on manifolds (58-XX)
90 Manifolds and cell complexes (57-XX)
82 Geometry (51-XX)
78 Difference and functional equations (39-XX)
76 Operator theory (47-XX)
75 Ordinary differential equations (34-XX)
71 Partial differential equations (35-XX)
64 Differential geometry (53-XX)
60 Relativity and gravitational theory (83-XX)
59 Statistical mechanics, structure of matter (82-XX)
54 Order, lattices, ordered algebraic structures (06-XX)
53 History and biography (01-XX)
47 Category theory; homological algebra (18-XX)
46 Abstract harmonic analysis (43-XX)
46 Statistics (62-XX)
43 Algebraic topology (55-XX)
43 Operations research, mathematical programming (90-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 General topology (54-XX)
24 Integral transforms, operational calculus (44-XX)
22 General and overarching topics; collections (00-XX)
14 Potential theory (31-XX)
14 Mechanics of deformable solids (74-XX)
12 Mechanics of particles and systems (70-XX)
11 Biology and other natural sciences (92-XX)
11 Systems theory; control (93-XX)
9 Mathematics education (97-XX)
8 General algebraic systems (08-XX)
7 Integral equations (45-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Fluid mechanics (76-XX)
4 Geophysics (86-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Optics, electromagnetic theory (78-XX)

Citations by Year