×

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: 7,023 Publications (since 1969)
References Indexed: 6,434 Publications with 98,741 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 Buium, Alexandru
13 Cochrane, Todd
13 Gao, Weidong
13 Pethő, Attila
13 Ruzsa, Imre Z.
13 Sander, Jürgen W.
13 Ulas, Maciej
13 Zhai, Wenguang
12 Hall, Richard R.
12 Hu, Su
12 Kim, Minsoo
12 Lagarias, Jeffrey C.
12 Lee, Yoonjin
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 Katsurada, Hidenori
11 Keating, Kevin
11 Languasco, Alessandro
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 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 5,299 more Authors
all top 5

Fields

6,710 Number theory (11-XX)
724 Algebraic geometry (14-XX)
331 Combinatorics (05-XX)
252 Group theory and generalizations (20-XX)
204 Field theory and polynomials (12-XX)
198 Special functions (33-XX)
149 Dynamical systems and ergodic theory (37-XX)
128 Topological groups, Lie groups (22-XX)
115 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

5,736 Publications have been cited 39,779 times in 24,080 Documents Cited by Year
Probabilistic algorithm for testing primality. Zbl 0426.10006
Rabin, Michael O.
126
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
107
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
104
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
95
1988
The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042
Heath-Brown, D. R.
92
1983
On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038
Hildebrand, Adolf
90
1986
The elliptic dilogarithm for the sunset graph. Zbl 1319.81044
Bloch, Spencer; Vanhove, Pierre
88
2015
A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004
Olson, J. E.
85
1969
A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063
Ohno, Yasuo
81
1999
Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009
Niemeier, Hans-Volker
81
1973
Sums of products of Bernoulli numbers. Zbl 0863.11011
Dilcher, Karl
80
1996
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
79
1982
On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048
Kim, Taekyun
79
1999
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
73
1989
On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006
Perlis, Robert
73
1977
On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047
Garcia, Arnaldo; Stichtenoth, Henning
72
1996
Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019
Silverman, Joseph H.
70
1988
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
67
1997
The polynomial method and restricted sums of congruence classes. Zbl 0861.11006
Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre
63
1996
On Hensel factorization. I. Zbl 0188.33703
Zassenhaus, Hans
63
1969
Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079
Bombieri, Enrico; Lagarias, Jeffrey C.
62
1999
Another congruence for the Apéry numbers. Zbl 0614.10011
Beukers, F.
62
1987
A combinatorial problem on finite abelian groups. Zbl 0892.11005
Gao, W. D.
61
1996
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
61
2005
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045
Mortenson, Eric
59
2003
Badly approximable systems of linear forms. Zbl 0172.06401
Schmidt, W. M.
58
1969
Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019
Kisilevsky, H.
57
1976
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
On Miki’s identity for Bernoulli numbers. Zbl 1073.11013
Gessel, Ira M.
52
2005
Matrices associated with classes of arithmetical functions. Zbl 0784.11002
Bourque, Keith; Ligh, Steve
52
1993
Apollonian circle packings: Number theory. Zbl 1026.11058
Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H.
52
2003
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
51
2004
New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136
Yao, Olivia X. M.; Xia, Ernest X. W.
51
2013
Some congruences for Apery numbers. Zbl 0482.10003
Gessel, Ira
50
1982
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
Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011
Thomas, Emery
48
1990
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005
Hensley, Doug
48
1992
Uniform cyclotomy. Zbl 0475.12026
Baumert, L. D.; Mills, W. H.; Ward, Robert L.
47
1982
A relation between Bernoulli numbers. Zbl 0379.10007
Miki, Hiroo
47
1978
Modular lattices in Euclidean spaces. Zbl 0874.11038
Quebbemann, H.-G.
46
1995
A lower bound for the height in abelian extensions. Zbl 0973.11092
Amoroso, Francesco; Dvornicich, Robert
46
2000
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
46
2016
Integral bases and monogenity of pure fields. Zbl 1419.11118
Gaál, István; Remete, László
46
2017
Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014
Agoh, Takashi; Dilcher, Karl
45
2007
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024
Kim, Taekyun
45
2012
On the topological structure of univoque sets. Zbl 1111.11005
Komornik, Vilmos; Loreti, Paola
45
2007
An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019
Dujella, Andrej
45
2001
Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005
Sun, Zhi-Hong
45
2014
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039
Hensley, Douglas
44
1996
On congruences related to central binomial coefficients. Zbl 1261.11019
Sun, Zhi-Wei
44
2011
Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007
Weinberger, P. J.
44
1973
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
Elasticity of factorization in number fields. Zbl 0721.11043
Valenza, R. J.
44
1990
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
44
1990
Sequences with subword complexity \(2n\). Zbl 0804.11023
Rote, Günter
44
1994
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
43
1983
Note on the Euler \(q\)-zeta functions. Zbl 1221.11231
Kim, Taekyun
43
2009
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
43
1998
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
43
1996
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
43
2011
Exponential sums with monomials. Zbl 0687.10028
Fouvry, Etienne; Iwaniec, Henryk
42
1989
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
42
2006
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.
42
2001
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
42
1979
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.
42
2013
Euler sums and integrals of polylogarithm functions. Zbl 1349.11054
Xu, Ce; Yan, Yuhuan; Shi, Zhijuan
42
2016
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
41
1987
On the distribution of Galois groups. Zbl 1022.11058
Malle, Gunter
41
2002
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
41
2003
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
40
2009
On maximal curves. Zbl 0914.11036
Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando
40
1997
Identities between modular graph forms. Zbl 1450.11062
D’Hoker, Eric; Green, Michael B.
40
2018
Some congruences for the Apéry numbers. Zbl 0571.10008
Beukers, F.
40
1985
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
40
1979
\(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007
Kida, Yûji
40
1980
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
40
2001
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.
39
2007
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
39
1997
Note on cubics over \(GF(2^n)\) and \(GF(3^n)\). Zbl 0321.12029
Williams, Kenneth S.
39
1975
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. Zbl 1204.11053
Young, Paul Thomas
39
2008
Euclidean algorithms are Gaussian. Zbl 1114.11092
Baladi, Viviane; Vallée, Brigitte
39
2005
Applications of a recurrence for the Bernoulli numbers. Zbl 0844.11019
Howard, F. T.
38
1995
Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026
Barthel, L.; Livné, R.
38
1995
Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047
Ghioca, Dragos; Tucker, T. J.
38
2009
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032
Osgood, Charles F.
38
1985
A formula of S. Ramanujan. Zbl 0606.10032
Sitaramachandrarao, R.
38
1987
Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. (Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques.) Zbl 0870.11045
Bugeaud, Y.; Laurent, M.
38
1996
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
38
1993
Spectra of hypergraphs and applications. Zbl 0874.05041
Feng, Keqin; Li, Wen-Ch’ing Winnie
38
1996
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
37
2007
Congruences involving Bernoulli and Euler numbers. Zbl 1154.11010
Sun, Zhihong
37
2008
On the structure of the irreducible polynomials over local fields. Zbl 0838.11078
Popescu, Nicolae; Zaharescu, Alexandru
37
1995
On sums of squares and on elliptic curves over function fields. Zbl 0217.04302
Cassels, J. W. S.; Ellison, W. J.; Pfister, A.
37
1971
On Hilbert’s irreducibility theorem. Zbl 0299.12002
Fried, Michael
37
1974
Shimura curves and the abc conjecture. Zbl 07748223
Pasten, Hector
1
2024
An improved explicit estimate for \(\zeta(1/2 + it)\). Zbl 07794611
Hiary, Ghaith A.; Patel, Dhir; Yang, Andrew
1
2024
Primes between consecutive powers. Zbl 1520.11083
Cully-Hugill, Michaela
5
2023
Spectrum, algebraicity and normalization in alternate bases. Zbl 1523.11135
Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita
3
2023
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. Zbl 1518.11055
Kawashima, Makoto; Poëls, Anthony
3
2023
Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108
Bag, Nilanjan; Shparlinski, Igor E.
3
2023
A congruence family for 2-elongated plane partitions: an application of the localization method. Zbl 1507.11094
Smoot, Nicolas Allen
3
2023
Double coset operators and eta-quotients. Zbl 07679892
Zhou, Hai-Gang; Zhu, Xiao-Jie
2
2023
On Galois groups of linearized polynomials related to the general linear group of prime degree. Zbl 07734980
Gow, Rod; McGuire, Gary
2
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
Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082
Aoki, Miho; Koyama, Shin-ya
2
2023
The rational cuspidal divisor class group of \(X_0(N)\). Zbl 1523.11107
Yoo, Hwajong
2
2023
Triquadratic \(p\)-rational fields. Zbl 1509.11106
Koperecz, Julien
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
On \(p\)-adic Siegel Eisenstein series. Zbl 07695609
Katsurada, Hidenori; Nagaoka, Shoyu
2
2023
Numerical estimates on the Landau-Siegel zero and other related quantities. Zbl 07695616
Languasco, Alessandro
2
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 1528.11070
Jing, Mengyao; Liu, Huaning
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 1527.11067
Diaconu, Adrian; Twiss, Henry
1
2023
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. Zbl 1511.11074
Frahm, Jan; Spilioti, Polyxeni
1
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
Continued fractions over non-Euclidean imaginary quadratic rings. Zbl 1510.11024
Martin, Daniel E.
1
2023
On the connected components of Shimura varieties for CM unitary groups in odd variables. Zbl 1515.11061
Oki, Yasuhiro
1
2023
Factorization of coefficients for exponential and logarithm in function fields. Zbl 1515.11055
Chung, Kwun
1
2023
Algebraic construction of Weyl invariant \(E_8\) Jacobi forms. Zbl 1514.11029
Sakai, Kazuhiro
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
Euler’s factorial series, Hardy integral, and continued fractions. Zbl 1514.11043
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna
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
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
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
On the \(p\)-rationality of consecutive quadratic fields. Zbl 1526.11061
Chattopadhyay, Jaitra; Laxmi, H.; Saikia, Anupam
1
2023
Linear independence of even periods of modular forms. Zbl 07672968
Lei, Austin; Ni, Tianyu; Xue, Hui
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
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
The local-global principle for divisibility in CM elliptic curves. Zbl 07691012
Creutz, Brendan; Lu, Sheng (Victor)
1
2023
Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families. Zbl 1528.11115
Kim, Chan-Ho; Longo, Matteo
1
2023
On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. Zbl 1525.11080
Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric
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
15
2022
Notes on isocrystals. Zbl 1502.14051
Kedlaya, Kiran S.
10
2022
The fractional sum of small arithmetic functions. Zbl 1508.11082
Stucky, Joshua
10
2022
On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). Zbl 1494.11084
El Fadil, Lhoussain
9
2022
Parity of the coefficients of certain eta-quotients. Zbl 1491.11096
Keith, William J.; Zanello, Fabrizio
7
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
6
2022
Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 1497.11080
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken
6
2022
Counting zeros of the Riemann zeta function. Zbl 1497.11202
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie
6
2022
Uniform effective estimates for \(|L (1, \chi)|\). Zbl 1498.11183
Languasco, Alessandro; Trudgian, Timothy S.
6
2022
Drinfeld cusp forms: oldforms and newforms. Zbl 1493.11089
Bandini, Andrea; Valentino, Maria
5
2022
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares. Zbl 1497.11113
Xu, Chenran
5
2022
Theta correspondence for almost unramified representations of unitary groups. Zbl 1484.11116
Liu, Yifeng
5
2022
On Drinfeld modular forms of higher rank II. Zbl 1485.11090
Gekeler, Ernst-Ulrich
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
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
The even parity Goldfeld conjecture: congruent number elliptic curves. Zbl 1484.11131
Burungale, Ashay; Tian, Ye
4
2022
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction. Zbl 1483.11125
Betts, L. Alexander
3
2022
Abelian capitulation of ray class groups. (Capitulation abélienne des groupes de classes de rayons.) Zbl 1485.11158
Jaulent, Jean-François
3
2022
On Drinfeld modular forms of higher rank IV: modular forms with level. Zbl 1492.11097
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
On twisted \(A\)-harmonic sums and Carlitz finite zeta values. Zbl 1495.11109
Pellarin, F.; Perkins, R.
3
2022
Ergodic functions over \(Z_p\). Zbl 1484.37122
Jeong, Sangtae
3
2022
Real quadratic fields admitting universal lattices of rank 7. Zbl 1487.11037
Kim, Byeong Moon; Kim, Myung-Hwan; Park, Dayoon
3
2022
\(p\)-adic heights and Vologodsky integration. Zbl 07538066
Besser, Amnon
3
2022
On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\). Zbl 1498.11106
Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain
3
2022
Minimal universality criterion sets on the representations of binary quadratic forms. Zbl 1506.11051
Kim, Kyoungmin; Lee, Jeongwon; Oh, Byeong-Kweon
3
2022
The mean square of the error term in the prime number theorem. Zbl 1508.11094
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S.
3
2022
Mean value formulas on sublattices and flags of the random lattice. Zbl 1506.11098
Kim, Seungki
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
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
...and 1280 more Documents
all top 5

Cited by 14,411 Authors

169 Luca, Florian
155 Shparlinski, Igor E.
125 Kim, Taekyun
87 Chen, Yonggao
83 Zaharescu, Alexandru
79 Zhang, Wenpeng
77 Simsek, Yilmaz
77 Sun, Zhi-Wei
73 Guo, Victor J. W.
72 Togbé, Alain
69 Dubickas, Artūras
67 Murty, Maruti Ram
65 Bugeaud, Yann
63 Kim, Dae San
59 Hong, Shaofang
57 Komatsu, Takao
55 Merca, Mircea
54 Qi, Feng
52 Srivastava, Hari Mohan
51 Moree, Pieter
51 Pollack, Paul
47 Shkredov, Il’ya Dmitrievich
46 Gao, Weidong
46 Xia, Ernest X. W.
45 Azizi, Abdelmalek
45 Ichimura, Humio
45 Pan, Hao
44 Xu, Ce
44 Zhai, Wenguang
43 Barman, Rupam
43 Louboutin, Stéphane R.
43 Miller, Steven J.
41 Pomerance, Carl Bernard
40 Dujella, Andrej
40 Geroldinger, Alfred
40 Kim, Minsoo
39 Laurinčikas, Antanas
39 Ono, Ken
39 Sun, Zhihong
38 Hajdu, Lajos
37 Mauduit, Christian
37 Tenenbaum, Gérald
36 Bringmann, Kathrin
36 Lalín, Matilde Noemí
35 Bennett, Michael A.
35 Kim, Chang Heon
35 Lu, Guangshi
35 Ryoo, Cheon Seoung
35 Sárközy, András
35 Yao, Olivia Xiang Mei
35 Ziegler, Volker
34 Alkan, Emre
34 Bayad, Abdelmejid
34 Grynkiewicz, David J.
34 Pethő, Attila
33 Araci, Serkan
33 Gaál, István
33 Ghioca, Dragos
33 Lei, Antonio
33 Mignotte, Maurice
33 Pohst, Michael E.
32 Hu, Su
32 Larchner, Gerhard
32 Nathanson, Melvyn Bernard
32 Nebe, Gabriele
32 Wu, Jie
31 Le, Maohua
31 Sanna, Carlo
31 Zudilin, Wadim
30 Kim, Daeyeoul
30 Lee, Yoonjin
30 Matsumoto, Kohji
30 Oh, Byeong-Kweon
30 Sofo, Anthony
30 Williams, Kenneth S.
30 Yuan, Pingzhi
29 Allouche, Jean-Paul Simon
29 Ivić, Aleksandar
29 Liu, Huaning
29 Mollin, Richard Anthony
29 Rosales, José Carlos
29 Sha, Min
28 Baruah, Nayandeep Deka
28 Cilleruelo, Javier
28 Jang, Lee-Chae
28 Mao, Guo-Shuai
28 Niederreiter, Harald
28 Solé, Patrick
28 Zannier, Umberto M.
28 Zekhnini, Abdelkader
27 Berndt, Bruce Carl
27 Choi, Soyoung
27 Schmid, Wolfgang Alexander
27 Shallit, Jeffrey Outlaw
27 Thakur, Dinesh S.
27 Zhao, Liangyi
26 Blomer, Valentin
26 Choie, YoungJu
26 Cochrane, Todd
26 Eie, Minking
...and 14,311 more Authors
all top 5

Cited in 769 Journals

3,443 Journal of Number Theory
1,022 International Journal of Number Theory
698 The Ramanujan Journal
547 Proceedings of the American Mathematical Society
475 Journal de Théorie des Nombres de Bordeaux
445 Mathematics of Computation
419 Transactions of the American Mathematical Society
375 Acta Arithmetica
375 Finite Fields and their Applications
370 Journal of Algebra
309 Monatshefte für Mathematik
304 Discrete Mathematics
289 Mathematische Zeitschrift
275 Journal of Mathematical Analysis and Applications
263 Advances in Mathematics
258 Bulletin of the Australian Mathematical Society
243 Research in Number Theory
241 Mathematische Annalen
222 Manuscripta Mathematica
221 Archiv der Mathematik
217 Functiones et Approximatio. Commentarii Mathematici
211 Rocky Mountain Journal of Mathematics
207 Mathematika
199 Integers
192 Compositio Mathematica
191 Israel Journal of Mathematics
186 Journal of Pure and Applied Algebra
176 Communications in Algebra
171 Proceedings of the Japan Academy. Series A
166 Acta Mathematica Hungarica
165 Journal of Combinatorial Theory. Series A
163 Inventiones Mathematicae
158 Journal of High Energy Physics
156 Annales de l’Institut Fourier
150 Experimental Mathematics
143 Mathematical Proceedings of the Cambridge Philosophical Society
135 Indagationes Mathematicae. New Series
133 Periodica Mathematica Hungarica
133 Journal of Symbolic Computation
126 Duke Mathematical Journal
120 Comptes Rendus. Mathématique. Académie des Sciences, Paris
119 European Journal of Combinatorics
118 Journal für die Reine und Angewandte Mathematik
118 Designs, Codes and Cryptography
117 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
116 Algebra & Number Theory
109 Results in Mathematics
109 Forum Mathematicum
102 Linear Algebra and its Applications
96 Theoretical Computer Science
95 Lithuanian Mathematical Journal
94 Journal of Inequalities and Applications
92 Nagoya Mathematical Journal
90 Mathematical Notes
90 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
88 Advances in Applied Mathematics
88 Advances in Difference Equations
84 Science China. Mathematics
84 Research in the Mathematical Sciences
80 Acta Mathematica Sinica. English Series
77 Glasgow Mathematical Journal
75 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
73 Bulletin of the London Mathematical Society
73 Czechoslovak Mathematical Journal
73 The Electronic Journal of Combinatorics
73 Journal of Algebra and its Applications
69 Ergodic Theory and Dynamical Systems
68 Journal of the London Mathematical Society. Second Series
68 Journal of Integer Sequences
67 Applied Mathematics and Computation
67 Journal of the Ramanujan Mathematical Society
66 Indian Journal of Pure & Applied Mathematics
65 Annals of Mathematics. Second Series
64 Mathematica Slovaca
58 Journal of Computational and Applied Mathematics
57 Pacific Journal of Mathematics
56 Tokyo Journal of Mathematics
56 Mediterranean Journal of Mathematics
55 Discrete Applied Mathematics
55 Turkish Journal of Mathematics
55 LMS Journal of Computation and Mathematics
52 Bulletin of the American Mathematical Society. New Series
52 Journal of the Australian Mathematical Society
52 Open Mathematics
51 Integral Transforms and Special Functions
50 Quaestiones Mathematicae
50 Journal of Mathematical Sciences (New York)
49 Selecta Mathematica. New Series
49 Journal of the European Mathematical Society (JEMS)
47 Bulletin de la Société Mathématique de France
47 AIMS Mathematics
46 Journal of the Institute of Mathematics of Jussieu
45 Documenta Mathematica
45 Proceedings of the Steklov Institute of Mathematics
44 American Mathematical Monthly
44 Journal of Soviet Mathematics
44 Journal of the American Mathematical Society
42 Proceedings of the Edinburgh Mathematical Society. Series II
42 Tôhoku Mathematical Journal. Second Series
42 Expositiones Mathematicae
...and 669 more Journals
all top 5

Cited in 62 Fields

20,073 Number theory (11-XX)
2,541 Algebraic geometry (14-XX)
2,492 Combinatorics (05-XX)
1,337 Group theory and generalizations (20-XX)
1,185 Special functions (33-XX)
848 Field theory and polynomials (12-XX)
816 Dynamical systems and ergodic theory (37-XX)
658 Commutative algebra (13-XX)
622 Computer science (68-XX)
621 Information and communication theory, circuits (94-XX)
521 Topological groups, Lie groups (22-XX)
431 Functions of a complex variable (30-XX)
393 Associative rings and algebras (16-XX)
375 Measure and integration (28-XX)
361 Quantum theory (81-XX)
359 Linear and multilinear algebra; matrix theory (15-XX)
341 Numerical analysis (65-XX)
329 Probability theory and stochastic processes (60-XX)
310 Convex and discrete geometry (52-XX)
280 Real functions (26-XX)
253 Harmonic analysis on Euclidean spaces (42-XX)
222 Approximations and expansions (41-XX)
185 \(K\)-theory (19-XX)
174 Several complex variables and analytic spaces (32-XX)
170 Functional analysis (46-XX)
161 Sequences, series, summability (40-XX)
152 Mathematical logic and foundations (03-XX)
129 Nonassociative rings and algebras (17-XX)
120 Geometry (51-XX)
116 Manifolds and cell complexes (57-XX)
108 Global analysis, analysis on manifolds (58-XX)
106 Ordinary differential equations (34-XX)
105 Difference and functional equations (39-XX)
102 Operator theory (47-XX)
84 Relativity and gravitational theory (83-XX)
81 Partial differential equations (35-XX)
79 Differential geometry (53-XX)
75 Statistical mechanics, structure of matter (82-XX)
71 History and biography (01-XX)
68 Order, lattices, ordered algebraic structures (06-XX)
67 Category theory; homological algebra (18-XX)
64 Operations research, mathematical programming (90-XX)
60 Algebraic topology (55-XX)
57 Statistics (62-XX)
56 Abstract harmonic analysis (43-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 General and overarching topics; collections (00-XX)
39 Integral transforms, operational calculus (44-XX)
37 General topology (54-XX)
17 Potential theory (31-XX)
17 Mechanics of deformable solids (74-XX)
16 Mechanics of particles and systems (70-XX)
16 Biology and other natural sciences (92-XX)
15 Mathematics education (97-XX)
14 Integral equations (45-XX)
13 Systems theory; control (93-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 General algebraic systems (08-XX)
7 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
4 Geophysics (86-XX)
3 Classical thermodynamics, heat transfer (80-XX)

Citations by Year