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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: Journal; Indexed cover-to-cover
Documents Indexed: 7,003 Publications (since 1969)
References Indexed: 6,414 Publications with 98,363 References.
all top 5

Authors

53 Luca, Florian
42 Chen, Yonggao
33 Erdős, Pál
33 Shparlinski, Igor E.
31 Murty, Maruti Ram
24 Nathanson, Melvyn Bernard
23 Sun, Zhi-Wei
21 Kim, Chang Heon
20 Miller, Steven J.
19 Chowla, Sarvadaman
19 Sárközy, András
19 Zaharescu, Alexandru
19 Zhang, Wenpeng
18 Byeon, Dongho
18 Lu, Guangshi
18 Oh, Byeong-Kweon
18 Pohst, Michael E.
17 Gekeler, Ernst-Ulrich
17 Hajdu, Lajos
17 Tzanakis, Nikos
16 Jeon, Daeyeol
16 Jeong, Sangtae
16 Williams, Kenneth S.
15 Bremner, Andrew
15 Louboutin, Stéphane R.
15 Pollack, Paul
15 Young, Paul Thomas
14 Choi, Soyoung
14 Im, Bo-Hae
14 Moree, Pieter
14 Pan, Hao
14 Sun, Zhihong
13 Cochrane, Todd
13 Gao, Weidong
13 Pethő, Attila
13 Ruzsa, Imre Z.
13 Sander, Jürgen W.
13 Ulas, Maciej
13 Zhai, Wenguang
12 Buium, Alexandru
12 Hall, Richard R.
12 Hu, Su
12 Kim, Minsoo
12 Lu, Dawei
12 Pomerance, Carl Bernard
12 Togbé, Alain
12 Wu, Jie
12 Yokota, Hisashi
12 Zassenhaus, Hans Julius
11 Andrews, George Eyre
11 Anglès, Bruno
11 Chen, Chaoping
11 Gaál, István
11 Halter-Koch, Franz
11 Keating, Kevin
11 Lagarias, Jeffrey C.
11 Languasco, Alessandro
11 Lee, Yoonjin
11 Merca, Mircea
11 Ono, Ken
11 Parry, Charles J.
11 Pellarin, Federico
11 Silverman, Joseph Hillel
11 Washington, Lawrence C.
10 Alkan, Emre
10 Eie, Minking
10 Filaseta, Michael A.
10 Garcia, Stephan Ramon
10 Ghioca, Dragos
10 Gun, Sanoli
10 Katsurada, Hidenori
10 Matala-aho, Tapani
10 Mauduit, Christian
10 Morton, Patrick
10 Papikian, Mihran
10 Rosen, Michael I.
10 Sankaranarayanan, Ayyadurai
10 Schmidt, Wolfgang M.
10 Sodaïgui, Bouchaïb
10 Virdol, Cristian
10 Ye, Dongxi
9 Allouche, Jean-Paul Simon
9 Chowla, Paromita
9 Dubickas, Artūras
9 Elliott, Peter D. T. A.
9 Girstmair, Kurt
9 Gras, Georges
9 Hong, Shaofang
9 Komatsu, Takao
9 Kučera, Radan
9 Le, Maohua
9 Li, Wen-Ch’ing Winnie
9 Mignotte, Maurice
9 Walling, Lynne Heather
9 Wong, Siman
9 Ye, Yangbo
8 Agoh, Takashi
8 Baier, Stephan
8 Balasubramanian, Ramachandran
8 Bayad, Abdelmejid
...and 5,295 more Authors
all top 5

Fields

6,688 Number theory (11-XX)
721 Algebraic geometry (14-XX)
330 Combinatorics (05-XX)
251 Group theory and generalizations (20-XX)
203 Field theory and polynomials (12-XX)
197 Special functions (33-XX)
149 Dynamical systems and ergodic theory (37-XX)
127 Topological groups, Lie groups (22-XX)
113 Commutative algebra (13-XX)
73 Functions of a complex variable (30-XX)
67 Associative rings and algebras (16-XX)
52 Convex and discrete geometry (52-XX)
51 Measure and integration (28-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
50 Approximations and expansions (41-XX)
46 \(K\)-theory (19-XX)
40 Computer science (68-XX)
38 Information and communication theory, circuits (94-XX)
36 Sequences, series, summability (40-XX)
34 Harmonic analysis on Euclidean spaces (42-XX)
33 Probability theory and stochastic processes (60-XX)
32 Real functions (26-XX)
24 Several complex variables and analytic spaces (32-XX)
22 Mathematical logic and foundations (03-XX)
18 Functional analysis (46-XX)
17 History and biography (01-XX)
17 Nonassociative rings and algebras (17-XX)
16 Geometry (51-XX)
14 Category theory; homological algebra (18-XX)
14 Ordinary differential equations (34-XX)
14 Numerical analysis (65-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Quantum theory (81-XX)
10 Abstract harmonic analysis (43-XX)
9 Difference and functional equations (39-XX)
8 Operator theory (47-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 General and overarching topics; collections (00-XX)
7 Integral transforms, operational calculus (44-XX)
6 Differential geometry (53-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Partial differential equations (35-XX)
4 General topology (54-XX)
3 General algebraic systems (08-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-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

5,658 Publications have been cited 38,574 times in 23,425 Documents Cited by Year
Probabilistic algorithm for testing primality. Zbl 0426.10006
Rabin, Michael O.
125
1980
On a problem of Oppenheim concerning ”Factorisatio Numerorum”. Zbl 0513.10043
Canfield, E. R.; Erdős, Paul; Pomerance, Carl
118
1983
A combinatorial problem on finite Abelian groups. I. Zbl 0169.02003
Olson, J. E.
116
1969
Cyclotomy and difference families in elementary Abelian groups. Zbl 0259.05011
Wilson, Richard M.
108
1972
Ramanujan-type supercongruences. Zbl 1231.11147
Zudilin, Wadim
102
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
98
1995
A note on optimal unimodular lattices. Zbl 0917.11027
Conway, J. H.; Sloane, N. J. A.
96
1998
Low-discrepancy and low-dispersion sequences. Zbl 0651.10034
Niederreiter, Harald
92
1988
The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042
Heath-Brown, D. R.
88
1983
On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038
Hildebrand, Adolf
87
1986
A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004
Olson, J. E.
85
1969
Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009
Niemeier, Hans-Volker
79
1973
A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063
Ohno, Yasuo
78
1999
On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048
Kim, Taekyun
78
1999
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
77
1982
Sums of products of Bernoulli numbers. Zbl 0863.11011
Dilcher, Karl
76
1996
The elliptic dilogarithm for the sunset graph. Zbl 1319.81044
Bloch, Spencer; Vanhove, Pierre
73
2015
On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006
Perlis, Robert
72
1977
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
72
1989
On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047
Garcia, Arnaldo; Stichtenoth, Henning
70
1996
Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019
Silverman, Joseph H.
69
1988
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
66
1997
The polynomial method and restricted sums of congruence classes. Zbl 0861.11006
Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre
63
1996
Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079
Bombieri, Enrico; Lagarias, Jeffrey C.
61
1999
On Hensel factorization. I. Zbl 0188.33703
Zassenhaus, Hans
61
1969
A combinatorial problem on finite abelian groups. Zbl 0892.11005
Gao, W. D.
60
1996
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
60
2005
Another congruence for the Apéry numbers. Zbl 0614.10011
Beukers, F.
59
1987
Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019
Kisilevsky, H.
57
1976
Badly approximable systems of linear forms. Zbl 0172.06401
Schmidt, W. M.
56
1969
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045
Mortenson, Eric
55
2003
Quadratic alternating harmonic number sums. Zbl 1310.05014
Sofo, Anthony
54
2015
An explicit formula for local densities of quadratic forms. Zbl 0930.11021
Yang, Tonghai
53
1998
Matrices associated with classes of arithmetical functions. Zbl 0784.11002
Bourque, Keith; Ligh, Steve
52
1993
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
50
2004
Mean values of Dedekind sums. Zbl 0851.11028
Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton
49
1996
On the divisor and circle problems. Zbl 0644.10031
Iwaniec, H.; Mozzochi, C. J.
48
1988
On Miki’s identity for Bernoulli numbers. Zbl 1073.11013
Gessel, Ira M.
48
2005
Uniform cyclotomy. Zbl 0475.12026
Baumert, L. D.; Mills, W. H.; Ward, Robert L.
47
1982
Some congruences for Apery numbers. Zbl 0482.10003
Gessel, Ira
47
1982
Apollonian circle packings: Number theory. Zbl 1026.11058
Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H.
47
2003
Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011
Thomas, Emery
47
1990
New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136
Yao, Olivia X. M.; Xia, Ernest X. W.
47
2013
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005
Hensley, Doug
46
1992
Modular lattices in Euclidean spaces. Zbl 0874.11038
Quebbemann, H.-G.
45
1995
A lower bound for the height in abelian extensions. Zbl 0973.11092
Amoroso, Francesco; Dvornicich, Robert
45
2000
An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019
Dujella, Andrej
45
2001
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024
Kim, Taekyun
45
2012
Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014
Agoh, Takashi; Dilcher, Karl
44
2007
Sequences with subword complexity \(2n\). Zbl 0804.11023
Rote, Günter
44
1994
Elasticity of factorization in number fields. Zbl 0721.11043
Valenza, R. J.
44
1990
Torsion units in integral group rings of some metabelian groups. II. Zbl 0611.16007
Marciniak, Z.; Ritter, J.; Sehgal, S. K.; Weiss, A.
44
1987
On congruences related to central binomial coefficients. Zbl 1261.11019
Sun, Zhi-Wei
44
2011
A relation between Bernoulli numbers. Zbl 0379.10007
Miki, Hiroo
44
1978
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
44
1990
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039
Hensley, Douglas
43
1996
On the topological structure of univoque sets. Zbl 1111.11005
Komornik, Vilmos; Loreti, Paola
43
2007
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
43
1996
Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007
Weinberger, P. J.
43
1973
Note on the Euler \(q\)-zeta functions. Zbl 1221.11231
Kim, Taekyun
43
2009
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
42
2006
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
42
1983
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
42
2011
Integral bases and monogenity of pure fields. Zbl 1419.11118
Gaál, István; Remete, László
42
2017
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
42
2016
Exponential sums with monomials. Zbl 0687.10028
Fouvry, Etienne; Iwaniec, Henryk
41
1989
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
41
1998
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
41
2003
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.
41
2001
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
41
1979
Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005
Sun, Zhi-Hong
41
2014
\(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007
Kida, Yûji
40
1980
On the distribution of Galois groups. Zbl 1022.11058
Malle, Gunter
40
2002
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
40
2001
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
40
1979
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
40
1987
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.
40
2013
Euclidean algorithms are Gaussian. Zbl 1114.11092
Baladi, Viviane; Vallée, Brigitte
39
2005
Euler sums and integrals of polylogarithm functions. Zbl 1349.11054
Xu, Ce; Yan, Yuhuan; Shi, Zhijuan
39
2016
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
39
2009
Applications of a recurrence for the Bernoulli numbers. Zbl 0844.11019
Howard, F. T.
38
1995
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. Zbl 1204.11053
Young, Paul Thomas
38
2008
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.
38
2007
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
38
1997
Some congruences for the Apéry numbers. Zbl 0571.10008
Beukers, F.
38
1985
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
38
1985
On maximal curves. Zbl 0914.11036
Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando
38
1997
Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026
Barthel, L.; Livné, R.
37
1995
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
37
2007
On Néron’s classification of elliptic curves of residue characteristics 2 and 3. (Sur la classification de Néron des courbes elliptiques en caractéristique résiduelle 2 et 3.) Zbl 0786.14020
Papadopoulos, Ioannis
37
1993
Class field theory for curves over local fields. Zbl 0599.14008
Saito, Shuji
37
1985
The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I. Zbl 1083.11057
Matsumoto, Kohji
37
2003
Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen. Zbl 0404.13004
Trinks, Wolfgang
37
1978
Note on cubics over \(GF(2^n)\) and \(GF(3^n)\). Zbl 0321.12029
Williams, Kenneth S.
37
1975
Identities between modular graph forms. Zbl 1450.11062
D’Hoker, Eric; Green, Michael B.
37
2018
On Hilbert’s irreducibility theorem. Zbl 0299.12002
Fried, Michael
37
1974
On Carlitz’s \(q\)-Bernoulli numbers. Zbl 0501.12020
Koblitz, Neal
36
1982
On the structure of the irreducible polynomials over local fields. Zbl 0838.11078
Popescu, Nicolae; Zaharescu, Alexandru
36
1995
Triple sums and the Riemann zeta function. Zbl 0810.11047
Markett, C.
36
1994
New analogues of Ramanujan’s partition identities. Zbl 1213.11182
Chan, Heng Huat; Toh, Pee Choon
36
2010
An improved explicit estimate for \(\zeta(1/2 + it)\). Zbl 07794611
Hiary, Ghaith A.; Patel, Dhir; Yang, Andrew
1
2024
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. Zbl 1518.11055
Kawashima, Makoto; Poëls, Anthony
3
2023
Primes between consecutive powers. Zbl 1520.11083
Cully-Hugill, Michaela
3
2023
Spectrum, algebraicity and normalization in alternate bases. Zbl 1523.11135
Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita
3
2023
A note on Galois representations valued in reductive groups with open image. Zbl 1507.11046
Tang, Shiang
2
2023
Counting ideals in ray classes. Zbl 1517.11141
Gun, Sanoli; Ramaré, Olivier; Sivaraman, Jyothsnaa
2
2023
Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. Zbl 07635391
Morin, Adrien
2
2023
Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108
Bag, Nilanjan; Shparlinski, Igor E.
2
2023
A congruence family for 2-elongated plane partitions: an application of the localization method. Zbl 1507.11094
Smoot, Nicolas Allen
2
2023
The rational cuspidal divisor class group of \(X_0(N)\). Zbl 1523.11107
Yoo, Hwajong
2
2023
A paucity problem associated with a shifted integer analogue of the divisor function. Zbl 1505.11125
Heap, Winston; Sahay, Anurag; Wooley, Trevor D.
2
2023
Numerical estimates on the Landau-Siegel zero and other related quantities. Zbl 07695616
Languasco, Alessandro
2
2023
Bias of root numbers for Hilbert newforms of cubic level. Zbl 1525.11050
Luo, Zhilin; Pi, Qinghua; Wu, Han
1
2023
Poissonian correlations of higher orders. Zbl 1515.11072
Hauke, Manuel; Zafeiropoulos, Agamemnon
1
2023
Exceptional poles of local \(L\)-functions for \(\mathrm{GSp}(4)\) with respect to split Bessel models. Zbl 1525.11054
Weissauer, Rainer
1
2023
Small doubling in cyclic groups. Zbl 1512.11072
Lev, Vsevolod F.
1
2023
On the connected components of Shimura varieties for CM unitary groups in odd variables. Zbl 1515.11061
Oki, Yasuhiro
1
2023
Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082
Aoki, Miho; Koyama, Shin-ya
1
2023
Factorization of coefficients for exponential and logarithm in function fields. Zbl 1515.11055
Chung, Kwun
1
2023
Optimality of two inequalities for exponents of Diophantine approximation. Zbl 1519.11040
Schleischitz, Johannes
1
2023
Galois representations with big image in the general symplectic group \(\mathrm{GSp}_4( \mathbb{Z}_p)\). Zbl 1517.11056
Maletto, Simone
1
2023
BBP-type formulas – an elementary approach. Zbl 1509.11070
Kristensen, Simon; Mathiasen, Oskar
1
2023
A note on hyperelliptic curves with ordinary reduction over 2-adic fields. Zbl 1525.11068
Dokchitser, Vladimir; Morgan, Adam
1
2023
Infinite families of isogeny-torsion graphs. Zbl 1525.11061
Chiloyan, Garen
1
2023
Spectral zeta function on discrete tori and Epstein-Riemann hypothesis. Zbl 1517.11028
Meiners, Alexander; Vertman, Boris
1
2023
Approximations of the balanced triple product \(p\)-adic \(L\)-function. Zbl 1512.11048
Dall’Ava, Luca
1
2023
Distributions of hook lengths divisible by two or three. Zbl 1518.11069
Lang, Hannah; Wan, Hamilton; Xu, Nancy
1
2023
On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields. Zbl 1519.11062
Stokes, Matt
1
2023
Constant root number on integer fibres of elliptic surfaces. Zbl 1516.14072
Chu, Rena; Desjardins, Julie
1
2023
Sets arising as minimal additive complements in the integers. Zbl 1523.11014
Burcroff, Amanda; Luntzlara, Noah
1
2023
On a sum involving small arithmetic function and the integral part function. Zbl 1516.11093
Li, Jiamin; Ma, Jing
1
2023
A general class of Schmidt theorems. Zbl 1510.05012
Andrews, George; Keith, William
1
2023
A unified strategy to compute some special functions of number-theoretic interest. Zbl 07662018
Languasco, Alessandro
1
2023
Irreducible polynomials in quadratic semigroups. Zbl 1515.37109
Hindes, Wade; Jacobs, Reiyah; Ye, Peter
1
2023
Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. Zbl 1511.05013
Jackson, Faye; Otgonbayar, Misheel
1
2023
Arithmetically equivalent number fields have approximately the same successive minima. Zbl 1525.11134
Vermeulen, Floris
1
2023
Effective rational approximation on spheres. Zbl 1526.11038
Ouaggag, Zouhair
1
2023
Congruence relations for \(r\)-colored partitions. Zbl 1520.11089
Dicks, Robert
1
2023
Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas. Zbl 07679886
Jing, Mengyao; Liu, Huaning
1
2023
Double coset operators and eta-quotients. Zbl 07679892
Zhou, Hai-Gang; Zhu, Xiao-Jie
1
2023
Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms. Zbl 07691009
Langeveld, Niels; Rossi, Lucía; Thuswaldner, Jörg M.
1
2023
Asymptotic Fermat for signature \((4, 2, p)\) over number fields. Zbl 07691011
Villagra Torcomian, Lucas
1
2023
Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families. Zbl 07691014
Kim, Chan-Ho; Longo, Matteo
1
2023
Roots of certain polynomials over finite fields. Zbl 1525.11142
Ding, Zhiguo; Zieve, Michael E.
1
2023
Li coefficients as norms of functions in a model space. Zbl 07722269
Suzuki, Masatoshi
1
2023
Secondary terms in the asymptotics of moments of \(L\)-functions. Zbl 07722271
Diaconu, Adrian; Twiss, Henry
1
2023
On Galois groups of linearized polynomials related to the general linear group of prime degree. Zbl 07734980
Gow, Rod; McGuire, Gary
1
2023
Good elliptic curves with a specified torsion subgroup. Zbl 1505.11085
Barrios, Alexander J.
1
2023
Classification of all Galois subcovers of the Skabelund maximal curves. Zbl 1508.14030
Beelen, Peter; Landi, Leonardo; Montanucci, Maria
1
2023
Underapproximation by Egyptian fractions. Zbl 1522.11022
Nathanson, Melvyn B.
1
2023
On genus one curves violating the local-global principle. Zbl 1496.14030
Wu, Han
1
2023
The Sato-Tate conjecture and Nagao’s conjecture. Zbl 07595061
Kim, Seoyoung
1
2023
Fields of definition of \(K3\) surfaces with complex multiplication. Zbl 1507.14056
Valloni, Domenico
1
2023
On the Glasner property for matrices with polynomial entries. Zbl 1518.11054
Shparlinski, Igor E.
1
2023
Fekete polynomials, quadratic residues, and arithmetic. Zbl 1498.11090
Mináč, Ján; Tung T. Nguyen; Nguyêñ Duy Tân
1
2023
On \(p\)-adic Siegel Eisenstein series. Zbl 07695609
Katsurada, Hidenori; Nagaoka, Shoyu
1
2023
Prime divisors of \(\ell\)-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level \(\ell\). Zbl 1516.11008
Moree, Pieter; Sgobba, Pietro
1
2023
MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. Zbl 1484.11201
Andrews, George E.; Paule, Peter
11
2022
Notes on isocrystals. Zbl 1502.14051
Kedlaya, Kiran S.
9
2022
The fractional sum of small arithmetic functions. Zbl 1508.11082
Stucky, Joshua
8
2022
On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). Zbl 1494.11084
El Fadil, Lhoussain
6
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
5
2022
Counting zeros of the Riemann zeta function. Zbl 1497.11202
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie
5
2022
Uniform effective estimates for \(|L (1, \chi)|\). Zbl 1498.11183
Languasco, Alessandro; Trudgian, Timothy S.
5
2022
Drinfeld cusp forms: oldforms and newforms. Zbl 1493.11089
Bandini, Andrea; Valentino, Maria
5
2022
Theta correspondence for almost unramified representations of unitary groups. Zbl 1484.11116
Liu, Yifeng
4
2022
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. Zbl 1489.11059
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
4
2022
Parity of the coefficients of certain eta-quotients. Zbl 1491.11096
Keith, William J.; Zanello, Fabrizio
4
2022
Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 1497.11080
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken
4
2022
Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields. Zbl 1493.12009
Minamide, Arata; Tsujimura, Shota
4
2022
One-level density of the family of twists of an elliptic curve over function fields. Zbl 07575694
Comeau-Lapointe, Antoine
4
2022
Arithmetic intersections of modular geodesics. Zbl 1491.14041
Darmon, Henri; Vonk, Jan
3
2022
The even parity Goldfeld conjecture: congruent number elliptic curves. Zbl 1484.11131
Burungale, Ashay; Tian, Ye
3
2022
On Drinfeld modular forms of higher rank II. Zbl 1485.11090
Gekeler, Ernst-Ulrich
3
2022
Finding endomorphisms of Drinfeld modules. Zbl 1485.11102
Kuhn, Nikolas; Pink, Richard
3
2022
Periods of \(t\)-modules as special values. Zbl 1495.11090
Maurischat, Andreas
3
2022
Equivariant special \(L\)-values of abelian \(t\)-modules. Zbl 1489.11089
Fang, Jiangxue
3
2022
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares. Zbl 1497.11113
Xu, Chenran
3
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 1492.11139
Essouabri, Driss; Salinas Zavala, Christoper; Tóth, László
3
2022
\(p\)-adic heights and Vologodsky integration. Zbl 07538066
Besser, Amnon
3
2022
Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori). Zbl 1507.11104
Kadiri, Habiba; Wong, Peng-Jie
3
2022
On the space of slow growing weak Jacobi forms. Zbl 1503.11081
Keller, Christoph A.; Quinones, Jason M.
2
2022
Gamma factors and converse theorems for classical groups over finite fields. Zbl 1512.20162
Liu, Baiying; Zhang, Qing
2
2022
A consequence of the relative Bogomolov conjecture. Zbl 1483.11131
Dimitrov, Vesselin; Gao, Ziyang; Habegger, Philipp
2
2022
On shuffle-type functional relations of desingularized multiple zeta-functions. Zbl 1491.11078
Komiyama, Nao
2
2022
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction. Zbl 1483.11125
Betts, L. Alexander
2
2022
Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms. Zbl 1491.11055
Chen, Shih-Yu
2
2022
Abelian capitulation of ray class groups. (Capitulation abélienne des groupes de classes de rayons.) Zbl 1485.11158
Jaulent, Jean-François
2
2022
On Drinfeld modular forms of higher rank IV: modular forms with level. Zbl 1492.11097
Gekeler, Ernst-Ulrich
2
2022
Tensor powers of rank 1 Drinfeld modules and periods. Zbl 1480.11075
Green, Nathan
2
2022
On twisted \(A\)-harmonic sums and Carlitz finite zeta values. Zbl 1495.11109
Pellarin, F.; Perkins, R.
2
2022
Ergodic functions over \(Z_p\). Zbl 1484.37122
Jeong, Sangtae
2
2022
On the normal number of prime factors of sums of Fourier coefficients of eigenforms. Zbl 1492.11089
Murty, M. Ram; Murty, V. Kumar; Pujahari, Sudhir
2
2022
Functional equation and zeros on the critical line of the quadrilateral zeta function. Zbl 1497.11225
Nakamura, Takashi
2
2022
The large sieve with square moduli in function fields. Zbl 1490.11083
Baier, Stephan; Singh, Rajneesh Kumar
2
2022
Sturm-type bounds for modular forms over function fields. Zbl 1498.11135
Armana, Cécile; Wei, Fu-Tsun
2
2022
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3. Zbl 1502.11065
Chen, Chien-Hua
2
2022
A note on effective descent for overconvergent isocrystals. Zbl 1484.14041
Lazda, Christopher
2
2022
The number of prime factors of integers with dense divisors. Zbl 1504.11098
Weingartner, Andreas
2
2022
On values of weakly holomorphic modular functions at divisors of meromorphic modular forms. Zbl 1505.11070
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon
2
2022
...and 1233 more Documents
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Cited by 14,056 Authors

160 Luca, Florian
153 Shparlinski, Igor E.
124 Kim, Taekyun
82 Chen, Yonggao
80 Zaharescu, Alexandru
79 Zhang, Wenpeng
76 Sun, Zhi-Wei
74 Simsek, Yilmaz
70 Guo, Victor J. W.
67 Murty, Maruti Ram
67 Togbé, Alain
66 Dubickas, Artūras
65 Bugeaud, Yann
62 Kim, Dae San
58 Hong, Shaofang
53 Merca, Mircea
51 Komatsu, Takao
51 Moree, Pieter
50 Qi, Feng
50 Srivastava, Hari Mohan
48 Pollack, Paul
46 Shkredov, Il’ya Dmitrievich
46 Xia, Ernest X. W.
45 Azizi, Abdelmalek
45 Gao, Weidong
45 Ichimura, Humio
44 Pan, Hao
44 Xu, Ce
44 Zhai, Wenguang
42 Barman, Rupam
42 Louboutin, Stéphane R.
40 Geroldinger, Alfred
40 Kim, Minsoo
40 Miller, Steven J.
40 Pomerance, Carl Bernard
39 Dujella, Andrej
39 Laurinčikas, Antanas
39 Ono, Ken
39 Sun, Zhihong
37 Hajdu, Lajos
37 Mauduit, Christian
37 Tenenbaum, Gérald
35 Bennett, Michael A.
35 Kim, Chang Heon
35 Lu, Guangshi
35 Ryoo, Cheon Seoung
35 Sárközy, András
34 Bringmann, Kathrin
34 Grynkiewicz, David J.
34 Lalín, Matilde Noemí
34 Pethő, Attila
33 Alkan, Emre
33 Araci, Serkan
33 Bayad, Abdelmejid
33 Gaál, István
33 Mignotte, Maurice
33 Pohst, Michael E.
33 Yao, Olivia Xiang Mei
33 Ziegler, Volker
32 Allouche, Jean-Paul Simon
32 Ghioca, Dragos
32 Hu, Su
32 Larchner, Gerhard
32 Wu, Jie
31 Lei, Antonio
31 Nathanson, Melvyn Bernard
31 Nebe, Gabriele
31 Zudilin, Wadim
30 Kim, Daeyeoul
30 Matsumoto, Kohji
30 Oh, Byeong-Kweon
30 Williams, Kenneth S.
29 Ivić, Aleksandar
29 Lee, Yoonjin
29 Mollin, Richard Anthony
29 Rosales, José Carlos
29 Sanna, Carlo
29 Yuan, Pingzhi
28 Baruah, Nayandeep Deka
28 Cilleruelo, Javier
28 Jang, Lee-Chae
28 Le, Maohua
28 Liu, Huaning
28 Niederreiter, Harald
28 Sha, Min
28 Sofo, Anthony
28 Solé, Patrick
28 Zannier, Umberto M.
28 Zekhnini, Abdelkader
27 Berndt, Bruce Carl
27 Choi, Soyoung
27 Schmid, Wolfgang Alexander
27 Thakur, Dinesh S.
26 Choie, YoungJu
26 Cochrane, Todd
26 Eie, Minking
26 Erdős, Pál
26 Jung, Hwanyup
26 Kohnen, Winfried
26 Liu, Jicai
...and 13,956 more Authors
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Cited in 746 Journals

3,405 Journal of Number Theory
1,020 International Journal of Number Theory
657 The Ramanujan Journal
540 Proceedings of the American Mathematical Society
466 Journal de Théorie des Nombres de Bordeaux
443 Mathematics of Computation
419 Transactions of the American Mathematical Society
369 Journal of Algebra
363 Finite Fields and their Applications
351 Acta Arithmetica
304 Discrete Mathematics
296 Monatshefte für Mathematik
288 Mathematische Zeitschrift
274 Journal of Mathematical Analysis and Applications
263 Advances in Mathematics
258 Bulletin of the Australian Mathematical Society
229 Mathematische Annalen
218 Archiv der Mathematik
217 Manuscripta Mathematica
213 Functiones et Approximatio. Commentarii Mathematici
213 Research in Number Theory
211 Rocky Mountain Journal of Mathematics
207 Mathematika
191 Israel Journal of Mathematics
190 Compositio Mathematica
187 Integers
183 Journal of Pure and Applied Algebra
171 Communications in Algebra
170 Proceedings of the Japan Academy. Series A
165 Journal of Combinatorial Theory. Series A
162 Acta Mathematica Hungarica
161 Inventiones Mathematicae
154 Annales de l’Institut Fourier
146 Journal of High Energy Physics
143 Experimental Mathematics
138 Mathematical Proceedings of the Cambridge Philosophical Society
135 Indagationes Mathematicae. New Series
133 Journal of Symbolic Computation
126 Periodica Mathematica Hungarica
125 Duke Mathematical Journal
119 European Journal of Combinatorics
116 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
114 Designs, Codes and Cryptography
113 Journal für die Reine und Angewandte Mathematik
110 Comptes Rendus. Mathématique. Académie des Sciences, Paris
109 Forum Mathematicum
109 Algebra & Number Theory
102 Results in Mathematics
101 Linear Algebra and its Applications
96 Theoretical Computer Science
93 Journal of Inequalities and Applications
92 Lithuanian Mathematical Journal
92 Nagoya Mathematical Journal
89 Mathematical Notes
88 Advances in Applied Mathematics
88 Advances in Difference Equations
87 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
79 Research in the Mathematical Sciences
78 Acta Mathematica Sinica. English Series
78 Science China. Mathematics
75 Glasgow Mathematical Journal
72 The Electronic Journal of Combinatorics
72 Journal of Algebra and its Applications
70 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
69 Ergodic Theory and Dynamical Systems
67 Applied Mathematics and Computation
66 Indian Journal of Pure & Applied Mathematics
65 Bulletin of the London Mathematical Society
65 Czechoslovak Mathematical Journal
64 Annals of Mathematics. Second Series
63 Mathematica Slovaca
63 Journal of Integer Sequences
62 Journal of the London Mathematical Society. Second Series
62 Journal of the Ramanujan Mathematical Society
58 Journal of Computational and Applied Mathematics
56 Pacific Journal of Mathematics
55 Discrete Applied Mathematics
55 LMS Journal of Computation and Mathematics
53 Tokyo Journal of Mathematics
52 Bulletin of the American Mathematical Society. New Series
52 Journal of the Australian Mathematical Society
52 Open Mathematics
51 Turkish Journal of Mathematics
51 Integral Transforms and Special Functions
51 Mediterranean Journal of Mathematics
50 Journal of Mathematical Sciences (New York)
47 Quaestiones Mathematicae
45 Bulletin de la Société Mathématique de France
45 Selecta Mathematica. New Series
45 Journal of the European Mathematical Society (JEMS)
45 Journal of the Institute of Mathematics of Jussieu
45 AIMS Mathematics
44 American Mathematical Monthly
44 Journal of Soviet Mathematics
44 Journal of the American Mathematical Society
44 Documenta Mathematica
44 Proceedings of the Steklov Institute of Mathematics
42 Annales Mathématiques du Québec
41 Journal d’Analyse Mathématique
41 Proceedings of the Edinburgh Mathematical Society. Series II
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Cited in 62 Fields

19,541 Number theory (11-XX)
2,464 Algebraic geometry (14-XX)
2,416 Combinatorics (05-XX)
1,304 Group theory and generalizations (20-XX)
1,146 Special functions (33-XX)
834 Field theory and polynomials (12-XX)
794 Dynamical systems and ergodic theory (37-XX)
644 Commutative algebra (13-XX)
614 Computer science (68-XX)
612 Information and communication theory, circuits (94-XX)
506 Topological groups, Lie groups (22-XX)
420 Functions of a complex variable (30-XX)
383 Associative rings and algebras (16-XX)
363 Measure and integration (28-XX)
344 Linear and multilinear algebra; matrix theory (15-XX)
335 Quantum theory (81-XX)
326 Numerical analysis (65-XX)
318 Probability theory and stochastic processes (60-XX)
306 Convex and discrete geometry (52-XX)
258 Real functions (26-XX)
245 Harmonic analysis on Euclidean spaces (42-XX)
215 Approximations and expansions (41-XX)
182 \(K\)-theory (19-XX)
170 Several complex variables and analytic spaces (32-XX)
163 Functional analysis (46-XX)
152 Sequences, series, summability (40-XX)
150 Mathematical logic and foundations (03-XX)
125 Nonassociative rings and algebras (17-XX)
109 Geometry (51-XX)
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106 Global analysis, analysis on manifolds (58-XX)
104 Ordinary differential equations (34-XX)
101 Difference and functional equations (39-XX)
99 Operator theory (47-XX)
84 Relativity and gravitational theory (83-XX)
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76 Differential geometry (53-XX)
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67 Order, lattices, ordered algebraic structures (06-XX)
66 Category theory; homological algebra (18-XX)
65 History and biography (01-XX)
62 Operations research, mathematical programming (90-XX)
59 Algebraic topology (55-XX)
56 Statistics (62-XX)
55 Abstract harmonic analysis (43-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Integral transforms, operational calculus (44-XX)
37 General and overarching topics; collections (00-XX)
36 General topology (54-XX)
16 Potential theory (31-XX)
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16 Biology and other natural sciences (92-XX)
15 Mathematics education (97-XX)
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6 Fluid mechanics (76-XX)
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