×

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: 7,159 Publications (since 1969)
References Indexed: 6,568 Publications with 101,649 References.
all top 5

Authors

55 Luca, Florian
42 Chen, Yonggao
34 Shparlinski, Igor E.
33 Erdős, Pál
32 Murty, Maruti Ram
24 Nathanson, Melvyn Bernard
23 Sun, Zhi-Wei
21 Kim, Chang Heon
21 Miller, Steven J.
19 Chowla, Sarvadaman
19 Oh, Byeong-Kweon
19 Sárközy, András
19 Zaharescu, Alexandru
19 Zhang, Wenpeng
18 Byeon, Dongho
18 Gekeler, Ernst-Ulrich
18 Hajdu, Lajos
18 Lu, Guangshi
18 Pohst, Michael
17 Tzanakis, Nikos
16 Jeon, Daeyeol
16 Jeong, Sangtae
16 Pollack, Paul
16 Williams, Kenneth S.
16 Young, Paul Thomas
15 Bremner, Andrew
15 Louboutin, Stéphane R.
14 Choi, Soyoung
14 Im, Bo-Hae
14 Moree, Pieter
14 Pan, Hao
14 Pethő, Attila
14 Sun, Zhihong
14 Trudgian, Timothy S.
13 Buium, Alexandru
13 Cochrane, Todd
13 Gao, Weidong
13 Hensley, Doug
13 Ruzsa, Imre Z.
13 Sander, Jürgen W.
13 Ulas, Maciej
13 Yokota, Hisashi
13 Zhai, Wenguang
12 Hall, Richard R.
12 Hu, Su
12 Katsurada, Hidenori
12 Kim, Minsoo
12 Lagarias, Jeffrey C.
12 Lee, Yoonjin
12 Lu, Dawei
12 Pomerance, Carl Bernard
12 Silverman, Joseph Hillel
12 Togbé, Alain
12 Wu, Jie
12 Zassenhaus, Hans Julius
11 Andrews, George Eyre
11 Anglès, Bruno
11 Chen, Chaoping
11 Gaál, István
11 Ghioca, Dragos
11 Halter-Koch, Franz
11 Keating, Kevin
11 Languasco, Alessandro
11 Merca, Mircea
11 Ono, Ken
11 Parry, Charles J.
11 Pellarin, Federico
11 Sankaranarayanan, Ayyadurai
11 Washington, Lawrence C.
10 Alkan, Emre
10 Eie, Minking
10 Filaseta, Michael A.
10 Garcia, Stephan Ramon
10 Gun, Sanoli
10 Matala-aho, Tapani
10 Mauduit, Christian
10 Morton, Patrick
10 Papikian, Mihran
10 Rosen, Michael I.
10 Schmidt, Wolfgang M.
10 Sodaïgui, Bouchaïb
10 Virdol, Cristian
10 Ye, Dongxi
10 Ye, Yangbo
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
8 Agoh, Takashi
8 Baier, Stephan
...and 5,428 more Authors
all top 5

Fields

6,843 Number theory (11-XX)
745 Algebraic geometry (14-XX)
337 Combinatorics (05-XX)
257 Group theory and generalizations (20-XX)
207 Field theory and polynomials (12-XX)
199 Special functions (33-XX)
154 Dynamical systems and ergodic theory (37-XX)
133 Topological groups, Lie groups (22-XX)
119 Commutative algebra (13-XX)
75 Functions of a complex variable (30-XX)
68 Associative rings and algebras (16-XX)
53 Measure and integration (28-XX)
52 Convex and discrete geometry (52-XX)
51 Approximations and expansions (41-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
47 \(K\)-theory (19-XX)
41 Computer science (68-XX)
39 Information and communication theory, circuits (94-XX)
36 Sequences, series, summability (40-XX)
35 Harmonic analysis on Euclidean spaces (42-XX)
34 Probability theory and stochastic processes (60-XX)
32 Real functions (26-XX)
25 Several complex variables and analytic spaces (32-XX)
23 Mathematical logic and foundations (03-XX)
18 Functional analysis (46-XX)
17 History and biography (01-XX)
17 Nonassociative rings and algebras (17-XX)
17 Geometry (51-XX)
15 Numerical analysis (65-XX)
14 Category theory; homological algebra (18-XX)
14 Ordinary differential equations (34-XX)
13 Global analysis, analysis on manifolds (58-XX)
13 Quantum theory (81-XX)
11 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 Partial differential equations (35-XX)
4 General topology (54-XX)
3 Order, lattices, ordered algebraic structures (06-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

5,916 Publications have been cited 43,337 times in 26,111 Documents Cited by Year
Probabilistic algorithm for testing primality. Zbl 0426.10006
Rabin, Michael O.
144
1980
A combinatorial problem on finite Abelian groups. I. Zbl 0169.02003
Olson, J. E.
130
1969
On a problem of Oppenheim concerning ”Factorisatio Numerorum”. Zbl 0513.10043
Canfield, E. R.; Erdős, Paul; Pomerance, Carl
124
1983
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
113
1995
Cyclotomy and difference families in elementary Abelian groups. Zbl 0259.05011
Wilson, Richard M.
112
1972
Ramanujan-type supercongruences. Zbl 1231.11147
Zudilin, Wadim
109
2009
The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042
Heath-Brown, D. R.
107
1983
Low-discrepancy and low-dispersion sequences. Zbl 0651.10034
Niederreiter, Harald
103
1988
The elliptic dilogarithm for the sunset graph. Zbl 1319.81044
Bloch, Spencer; Vanhove, Pierre
103
2015
A note on optimal unimodular lattices. Zbl 0917.11027
Conway, J. H.; Sloane, N. J. A.
98
1998
On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038
Hildebrand, Adolf
97
1986
A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004
Olson, J. E.
94
1969
On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047
Garcia, Arnaldo; Stichtenoth, Henning
86
1996
Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009
Niemeier, Hans-Volker
83
1973
A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063
Ohno, Yasuo
82
1999
Sums of products of Bernoulli numbers. Zbl 0863.11011
Dilcher, Karl
80
1996
On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048
Kim, Taekyun
80
1999
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
80
1982
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
76
1989
On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006
Perlis, Robert
75
1977
Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019
Silverman, Joseph H.
73
1988
The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036
Li, Xian-Jin
72
1997
On Hensel factorization. I. Zbl 0188.33703
Zassenhaus, Hans
71
1969
Another congruence for the Apéry numbers. Zbl 0614.10011
Beukers, F.
68
1987
Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079
Bombieri, Enrico; Lagarias, Jeffrey C.
65
1999
A combinatorial problem on finite abelian groups. Zbl 0892.11005
Gao, W. D.
64
1996
The polynomial method and restricted sums of congruence classes. Zbl 0861.11006
Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre
63
1996
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019
Simsek, Yilmaz
62
2005
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045
Mortenson, Eric
62
2003
Badly approximable systems of linear forms. Zbl 0172.06401
Schmidt, W. M.
62
1969
Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019
Kisilevsky, H.
60
1976
New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136
Yao, Olivia X. M.; Xia, Ernest X. W.
57
2013
Integral bases and monogenity of pure fields. Zbl 1419.11118
Gaál, István; Remete, László
57
2017
Quadratic alternating harmonic number sums. Zbl 1310.05014
Sofo, Anthony
55
2015
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
54
2004
An explicit formula for local densities of quadratic forms. Zbl 0930.11021
Yang, Tonghai
54
1998
Some congruences for Apery numbers. Zbl 0482.10003
Gessel, Ira
54
1982
Apollonian circle packings: Number theory. Zbl 1026.11058
Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H.
53
2003
On Miki’s identity for Bernoulli numbers. Zbl 1073.11013
Gessel, Ira M.
53
2005
Matrices associated with classes of arithmetical functions. Zbl 0784.11002
Bourque, Keith; Ligh, Steve
53
1993
On the divisor and circle problems. Zbl 0644.10031
Iwaniec, H.; Mozzochi, C. J.
51
1988
Mean values of Dedekind sums. Zbl 0851.11028
Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton
50
1996
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
50
1987
Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011
Thomas, Emery
50
1990
A lower bound for the height in abelian extensions. Zbl 0973.11092
Amoroso, Francesco; Dvornicich, Robert
50
2000
On the distribution of Galois groups. Zbl 1022.11058
Malle, Gunter
50
2002
Exponential sums with monomials. Zbl 0687.10028
Fouvry, Etienne; Iwaniec, Henryk
49
1989
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
49
2016
A relation between Bernoulli numbers. Zbl 0379.10007
Miki, Hiroo
49
1978
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005
Hensley, Doug
48
1992
A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039
Hensley, Douglas
48
1996
Identities between modular graph forms. Zbl 1450.11062
D’Hoker, Eric; Green, Michael B.
48
2018
Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007
Weinberger, P. J.
47
1973
Uniform cyclotomy. Zbl 0475.12026
Baumert, L. D.; Mills, W. H.; Ward, Robert L.
47
1982
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024
Kim, Taekyun
47
2012
Modular lattices in Euclidean spaces. Zbl 0874.11038
Quebbemann, H.-G.
46
1995
Elasticity of factorization in number fields. Zbl 0721.11043
Valenza, R. J.
46
1990
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
46
1996
Sequences with subword complexity \(2n\). Zbl 0804.11023
Rote, Günter
46
1994
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
46
2011
Products of polynomials in many variables. Zbl 0729.30004
Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L.
46
1990
Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027
Berndt, Bruce C.; Evans, Ronald J.
46
1979
Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058
Cochrane, Todd; Pinner, Christopher
46
2006
An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019
Dujella, Andrej
45
2001
On congruences related to central binomial coefficients. Zbl 1261.11019
Sun, Zhi-Wei
45
2011
On Artin’s conjecture. Zbl 0526.12010
Murty, M. Ram
45
1983
Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005
Sun, Zhi-Hong
45
2014
On the topological structure of univoque sets. Zbl 1111.11005
Komornik, Vilmos; Loreti, Paola
45
2007
Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014
Agoh, Takashi; Dilcher, Karl
45
2007
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
Euler sums and integrals of polylogarithm functions. Zbl 1349.11054
Xu, Ce; Yan, Yuhuan; Shi, Zhijuan
44
2016
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.
44
1996
Note on cubics over \(GF(2^n)\) and \(GF(3^n)\). Zbl 0321.12029
Williams, Kenneth S.
44
1975
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.
44
2001
\(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007
Kida, Yûji
44
1980
Some congruences for the Apéry numbers. Zbl 0571.10008
Beukers, F.
43
1985
A formula of S. Ramanujan. Zbl 0606.10032
Sitaramachandrarao, R.
43
1987
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
43
1998
On maximal curves. Zbl 0914.11036
Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando
43
1997
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
43
1997
Note on the Euler \(q\)-zeta functions. Zbl 1221.11231
Kim, Taekyun
43
2009
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
43
1979
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. Zbl 1204.11053
Young, Paul Thomas
43
2008
Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047
Ghioca, Dragos; Tucker, T. J.
43
2009
On the probability that \(k\) positive integers are relatively prime. Zbl 0246.10038
Nymann, J. E.
42
1972
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
A conjecture on Whittaker-Fourier coefficients of cusp forms. Zbl 1396.11081
Lapid, Erez; Mao, Zhengyu
42
2015
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.
42
2007
Rank and crank moments for overpartitions. Zbl 1248.11076
Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert
42
2009
Spectra of hypergraphs and applications. Zbl 0874.05041
Feng, Keqin; Li, Wen-Ch’ing Winnie
41
1996
Factoring polynomials and the knapsack problem. Zbl 1081.11080
van Hoeij, Mark
41
2002
Number theory problems from the harmonic analysis of a fractal. Zbl 1400.11006
Dutkay, Dorin Ervin; Haussermann, John
41
2016
Euclidean algorithms are Gaussian. Zbl 1114.11092
Baladi, Viviane; Vallée, Brigitte
41
2005
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
41
2003
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
41
2001
Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen. Zbl 0404.13004
Trinks, Wolfgang
41
1978
Congruences involving Bernoulli and Euler numbers. Zbl 1154.11010
Sun, Zhihong
41
2008
Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026
Barthel, L.; Livné, R.
40
1995
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
40
1993
Transcendental values of the digamma function. Zbl 1222.11097
Murty, M. Ram; Saradha, N.
40
2007
On gamma factors of Rankin-Selberg integrals for \(\mathrm{U}_{2 \ell} \times \mathrm{Res}_{E/F} \mathrm{GL}_n\). Zbl 07963883
Morimoto, Kazuki
1
2025
An improved explicit estimate for \(\zeta(1/2 + it)\). Zbl 1541.11067
Hiary, Ghaith A.; Patel, Dhir; Yang, Andrew
6
2024
Special values of spectral zeta functions of graphs and Dirichlet \(L\)-functions. Zbl 1545.11080
Xie, Bing; Zhao, Yigeng; Zhao, Yongqiang
3
2024
Bounds on the norms of maximal operators on Weyl sums. Zbl 07794615
Baker, Roger C.; Chen, Changhao; Shparlinski, Igor E.
3
2024
Asymptotic equidistribution for partition statistics and topological invariants. Zbl 07794617
Cesana, Giulia; Craig, William; Males, Joshua
3
2024
Massey products in Galois cohomology and the elementary type conjecture. Zbl 1537.12006
Quadrelli, Claudio
3
2024
Non-Pólya bi-quadratic fields with an Euclidean ideal class. Zbl 1541.13019
Chattopadhyay, Jaitra; Saikia, Anupam
2
2024
Shimura curves and the abc conjecture. Zbl 07748223
Pasten, Hector
2
2024
An explicit sub-Weyl bound for \(\zeta (1/2 + it)\). Zbl 1546.11119
Patel, Dhir; Yang, Andrew
2
2024
On integers of the form \(p + 2^{k_1^{r_1}} + \cdots + 2^{k_t^{r_t}}\). Zbl 1541.11082
Chen, Yong-Gao; Xu, Ji-Zhen
2
2024
Mean square values of Dirichlet \(L\)-functions associated to fixed order characters. Zbl 07794602
Corrigan, Chandler C.
1
2024
On periodic alternate base expansions. Zbl 1536.11120
Charlier, Émilie; Cisternino, Célia; Kreczman, Savinien
1
2024
Explicit bounds for large gaps between squarefree integers. Zbl 1539.11125
Kumchev, Angel; McCormick, Wade; McNew, Nathan; Park, Ariana; Scherr, Russell; Ziehr, Willow
1
2024
Roth-type theorem for quadratic system in Piatetski-Shapiro primes. Zbl 1533.11027
Ren, Xiumin; Zhang, Qingqing; Zhang, Rui
1
2024
On the integrality of locally algebraic representations of \(\mathrm{GL}_2(D)\). Zbl 07786320
Nadimpalli, Santosh; Sheth, Mihir
1
2024
Ankeny-Artin-Chowla and Mordell conjectures in terms of \(p\)-rationality. Zbl 1545.11096
Benmerieme, Y.; Movahhedi, A.
1
2024
The critical polynomial of a graph. Zbl 1536.05259
Lorenzini, Dino
1
2024
Cullen numbers and Woodall numbers in generalized Fibonacci sequences. Zbl 1547.11046
Bérczes, Attila; Pink, István; Young, Paul Thomas
1
2024
Existential definability and diophantine stability. Zbl 1537.11143
Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra
1
2024
Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces. Zbl 1535.14061
Dao, Quang-Duc
1
2024
Evaluations of the areal Mahler measure of multivariable polynomials. Zbl 1534.11126
Lalin, Matilde N.; Roy, Subham
1
2024
An inequality related to the sieve of Eratosthenes. Zbl 1539.11123
Fan, Kai; Pomerance, Carl
1
2024
Class numbers of multinorm-one tori. Zbl 07802056
Hung, Fan-Yun; Yu, Chia-Fu
1
2024
Mean of the product of derivatives of Hardy’s \(Z\)-function with Dirichlet polynomial. Zbl 07802064
Das, Mithun Kumar; Pujahari, Sudhir
1
2024
On certain kernel functions and shifted convolution sums of the Fourier coefficients. Zbl 1533.11090
Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai
1
2024
Sato-Tate type distributions for matrix points on elliptic curves and some K3 surfaces. Zbl 07827487
Blaser, Avalon; Bradley, Molly; Vargas, Daniel A. N.; Xing, Kathy
1
2024
Finiteness of analytic cohomology of Lubin-Tate \(( \varphi_L,\Gamma_L)\)-modules. Zbl 07895025
Steingart, Rustam
1
2024
Global liftings between inner forms of \(\mathrm{GSp}(4)\). Zbl 07895026
Rösner, Mirko; Weissauer, Rainer
1
2024
Corrigendum to: “Existential definability and Diophantine stability”. Zbl 1541.11105
Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra
1
2024
Characterization of quadratic \(\varepsilon\)-CNS polynomials. Zbl 1542.11013
Jadrijević, Borka; Miletić, Kristina
1
2024
Primes between consecutive powers. Zbl 1520.11083
Cully-Hugill, Michaela
8
2023
A congruence family for 2-elongated plane partitions: an application of the localization method. Zbl 1507.11094
Smoot, Nicolas Allen
6
2023
The rational cuspidal divisor class group of \(X_0(N)\). Zbl 1523.11107
Yoo, Hwajong
5
2023
A paucity problem associated with a shifted integer analogue of the divisor function. Zbl 1505.11125
Heap, Winston; Sahay, Anurag; Wooley, Trevor D.
4
2023
On \(p\)-adic Siegel Eisenstein series. Zbl 1533.11093
Katsurada, Hidenori; Nagaoka, Shoyu
4
2023
Spectrum, algebraicity and normalization in alternate bases. Zbl 1523.11135
Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita
4
2023
Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. Zbl 1518.11055
Kawashima, Makoto; Poëls, Anthony
4
2023
Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108
Bag, Nilanjan; Shparlinski, Igor E.
3
2023
Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality. Zbl 1525.11119
Gajdzica, Krystian
3
2023
Linear independence of even periods of modular forms. Zbl 1534.11063
Lei, Austin; Ni, Tianyu; Xue, Hui
3
2023
Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. Zbl 1511.05013
Jackson, Faye; Otgonbayar, Misheel
3
2023
Inequalities for the broken \(k\)-diamond partition functions. Zbl 1512.05052
Jia, Dennis X. Q.
3
2023
Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms. Zbl 07691009
Langeveld, Niels; Rossi, Lucía; Thuswaldner, Jörg M.
3
2023
Continued fractions over non-Euclidean imaginary quadratic rings. Zbl 1510.11024
Martin, Daniel E.
3
2023
Underapproximation by Egyptian fractions. Zbl 1522.11022
Nathanson, Melvyn B.
3
2023
Triquadratic \(p\)-rational fields. Zbl 1509.11106
Koperecz, Julien
3
2023
Fekete polynomials, quadratic residues, and arithmetic. Zbl 1498.11090
Mináč, Ján; Tung T. Nguyen; Nguyêñ Duy Tân
3
2023
On Galois groups of linearized polynomials related to the general linear group of prime degree. Zbl 07734980
Gow, Rod; McGuire, Gary
3
2023
Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082
Aoki, Miho; Koyama, Shin-ya
3
2023
Euler’s factorial series, Hardy integral, and continued fractions. Zbl 1514.11043
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna
3
2023
Good elliptic curves with a specified torsion subgroup. Zbl 1505.11085
Barrios, Alexander J.
2
2023
Classification of all Galois subcovers of the Skabelund maximal curves. Zbl 1508.14030
Beelen, Peter; Landi, Leonardo; Montanucci, Maria
2
2023
Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions. Zbl 1525.11121
Keith, William J.; Zanello, Fabrizio
2
2023
A unified strategy to compute some special functions of number-theoretic interest. Zbl 1533.33030
Languasco, Alessandro
2
2023
Secondary terms in the asymptotics of moments of \(L\)-functions. Zbl 1527.11067
Diaconu, Adrian; Twiss, Henry
2
2023
Congruence relations for \(r\)-colored partitions. Zbl 1520.11089
Dicks, Robert
2
2023
Double coset operators and eta-quotients. Zbl 1536.11074
Zhou, Hai-Gang; Zhu, Xiao-Jie
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
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. Zbl 1511.11074
Frahm, Jan; Spilioti, Polyxeni
2
2023
Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. Zbl 1536.14018
Morin, Adrien
2
2023
Simultaneous rational periodic points of degree-2 rational maps. Zbl 1505.37110
Barsakçı, Burcu; Sadek, Mohammad
2
2023
The ring of integers of Hopf-Galois degree \(p\) extensions of \(p\)-adic fields with dihedral normal closure. Zbl 1510.11158
Gil-Muñoz, Daniel
2
2023
On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. Zbl 1525.11080
Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric
2
2023
Numerical estimates on the Landau-Siegel zero and other related quantities. Zbl 1539.11117
Languasco, Alessandro
2
2023
The Sato-Tate conjecture and Nagao’s conjecture. Zbl 1529.11077
Kim, Seoyoung
2
2023
Bounding vanishing at the central point of cuspidal newforms. Zbl 1510.11131
Li, Jiahui (Stella); Miller, Steven J.
2
2023
Infinite families of isogeny-torsion graphs. Zbl 1525.11061
Chiloyan, Garen
2
2023
Hybrid subconvexity and the partition function. Zbl 1506.11072
Andersen, Nickolas; Wu, Han
1
2023
Primitively universal quaternary quadratic forms. Zbl 1508.11045
Ju, Jangwon; Kim, Daejun; Kim, Kyoungmin; Kim, Mingyu; Oh, Byeong-Kweon
1
2023
Jutila’s circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums. Zbl 1512.11041
Hu, Guangwei; Lü, Guangshi
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
Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere. Zbl 1530.11056
Matschke, Benjamin; Mudigonda, Abhijit S.
1
2023
Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields. Zbl 1514.20197
Ash, Avner; Yasaki, Dan
1
2023
Torsions in cohomology of \(\mathrm{SL}_2(\mathbb{Z})\) and congruence of modular forms. Zbl 1525.11057
Deng, Taiwang
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
On the \(p\)-rationality of consecutive quadratic fields. Zbl 1526.11061
Chattopadhyay, Jaitra; Laxmi, H.; Saikia, Anupam
1
2023
Irreducible polynomials in quadratic semigroups. Zbl 1515.37109
Hindes, Wade; Jacobs, Reiyah; Ye, Peter
1
2023
Number of proportions of Hecke eigenvalues in two newforms. Zbl 1521.11024
Choi, Dohoon; Lee, Youngmin
1
2023
Integer factorization as subset-sum problem. Zbl 1532.11167
Hittmeir, Markus
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
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
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20. Zbl 1540.11090
Takada, Yuta
1
2023
Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas. Zbl 1528.11070
Jing, Mengyao; Liu, Huaning
1
2023
Quadratic forms representing large integers only. Zbl 1525.11038
Kim, Mingyu; Oh, Byeong-Kweon
1
2023
Dichotomous point counts over finite fields. Zbl 1531.11060
Wang, Victor Y.
1
2023
Algebraic properties of the values of newform Dedekind sums. Zbl 1533.11081
Majure, Mitchell
1
2023
Asymptotic Fermat for signature \((4, 2, p)\) over number fields. Zbl 1534.11042
Villagra Torcomian, Lucas
1
2023
The local-global principle for divisibility in CM elliptic curves. Zbl 1537.11080
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
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
On the density of a set of primes associated to an elliptic curve. Zbl 1541.11052
Arala, Nuno
1
2023
...and 1286 more Documents
all top 5

Cited by 15,505 Authors

178 Luca, Florian
172 Shparlinski, Igor E.
128 Kim, Taekyun
92 Chen, Yonggao
88 Zaharescu, Alexandru
79 Simsek, Yilmaz
79 Zhang, Wenpeng
78 Sun, Zhi-Wei
76 Togbé, Alain
74 Dubickas, Artūras
74 Guo, Victor J. W.
69 Murty, Maruti Ram
68 Bugeaud, Yann
65 Kim, Dae San
62 Komatsu, Takao
59 Hong, Shaofang
57 Merca, Mircea
56 Pollack, Paul
55 Qi, Feng
54 Moree, Pieter
53 Srivastava, Hari Mohan
50 Barman, Rupam
49 Shkredov, Il’ya Dmitrievich
49 Xia, Ernest X. W.
48 Azizi, Abdelmalek
48 Ichimura, Humio
48 Miller, Steven J.
48 Xu, Ce
47 Gao, Weidong
47 Yao, Olivia Xiang Mei
47 Zhai, Wenguang
45 Laurinčikas, Antanas
45 Pan, Hao
43 Lalín, Matilde Noemí
43 Louboutin, Stéphane R.
42 Pomerance, Carl Bernard
41 Dujella, Andrej
41 Ono, Ken
41 Tenenbaum, Gérald
40 Geroldinger, Alfred
40 Kim, Minsoo
39 Hajdu, Lajos
39 Sun, Zhihong
39 Ziegler, Volker
38 Sofo, Anthony
37 Bennett, Michael A.
37 Bringmann, Kathrin
37 Gaál, István
37 Lu, Guangshi
37 Mauduit, Christian
37 Trudgian, Timothy S.
36 Kim, Chang Heon
36 Sárközy, András
35 Bayad, Abdelmejid
35 Ghioca, Dragos
35 Le, Maohua
35 Mao, Guo-Shuai
35 Mignotte, Maurice
35 Pethő, Attila
35 Ryoo, Cheon Seoung
34 Alkan, Emre
34 Lee, Yoonjin
34 Lei, Antonio
34 Pohst, Michael
34 Sanna, Carlo
33 Araci, Serkan
33 Nathanson, Melvyn Bernard
33 Wu, Jie
32 Hu, Su
32 Larchner, Gerhard
32 Nebe, Gabriele
32 Rosales, José Carlos
32 Zudilin, Wadim
31 Kim, Daeyeoul
31 Oh, Byeong-Kweon
31 Sha, Min
31 Yuan, Pingzhi
31 Zekhnini, Abdelkader
30 Allouche, Jean-Paul Simon
30 Baruah, Nayandeep Deka
30 Choi, Soyoung
30 Liu, Huaning
30 Matsumoto, Kohji
30 Williams, Kenneth S.
30 Zhao, Liangyi
29 Gun, Sanoli
29 Ivić, Aleksandar
29 Masser, David William
29 Mollin, Richard Anthony
29 Niederreiter, Harald
29 Solé, Patrick
28 Blomer, Valentin
28 Cilleruelo, Javier
28 Fang, Jinhui
28 Fujita, Yasutsugu
28 Fukshansky, Lenny
28 Jang, Lee-Chae
28 Ray, Anwesh
28 Shallit, Jeffrey Outlaw
28 Siksek, Samir
...and 15,405 more Authors
all top 5

Cited in 810 Journals

3,557 Journal of Number Theory
1,096 International Journal of Number Theory
782 The Ramanujan Journal
571 Proceedings of the American Mathematical Society
489 Journal de Théorie des Nombres de Bordeaux
452 Mathematics of Computation
441 Acta Arithmetica
437 Transactions of the American Mathematical Society
400 Finite Fields and their Applications
391 Journal of Algebra
325 Monatshefte für Mathematik
321 Discrete Mathematics
310 Journal of Mathematical Analysis and Applications
306 Mathematische Zeitschrift
291 Research in Number Theory
284 Bulletin of the Australian Mathematical Society
279 Advances in Mathematics
260 Mathematische Annalen
247 Integers
232 Manuscripta Mathematica
230 Functiones et Approximatio. Commentarii Mathematici
228 Archiv der Mathematik
223 Rocky Mountain Journal of Mathematics
213 Mathematika
207 Israel Journal of Mathematics
200 Compositio Mathematica
194 Journal of Pure and Applied Algebra
186 Communications in Algebra
178 Acta Mathematica Hungarica
175 Journal of Combinatorial Theory. Series A
173 Proceedings of the Japan Academy. Series A
172 Journal of High Energy Physics
170 Inventiones Mathematicae
159 Annales de l’Institut Fourier
157 Experimental Mathematics
150 Indagationes Mathematicae. New Series
148 Mathematical Proceedings of the Cambridge Philosophical Society
146 Periodica Mathematica Hungarica
141 Journal of Symbolic Computation
134 Comptes Rendus. Mathématique. Académie des Sciences, Paris
130 Algebra & Number Theory
129 European Journal of Combinatorics
128 Duke Mathematical Journal
128 Designs, Codes and Cryptography
124 Journal für die Reine und Angewandte Mathematik
121 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
120 Forum Mathematicum
116 Results in Mathematics
108 Linear Algebra and its Applications
103 Bulletin of the London Mathematical Society
102 Lithuanian Mathematical Journal
101 Theoretical Computer Science
99 Journal of the London Mathematical Society. Second Series
98 Advances in Applied Mathematics
95 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
94 Mathematical Notes
94 Journal of Inequalities and Applications
93 Nagoya Mathematical Journal
91 Research in the Mathematical Sciences
88 Advances in Difference Equations
85 Science China. Mathematics
84 The Electronic Journal of Combinatorics
84 Acta Mathematica Sinica. English Series
83 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
82 Czechoslovak Mathematical Journal
82 Journal of the Ramanujan Mathematical Society
80 Journal of Integer Sequences
80 Journal of Algebra and its Applications
79 Glasgow Mathematical Journal
75 Indian Journal of Pure & Applied Mathematics
75 Mathematica Slovaca
71 Ergodic Theory and Dynamical Systems
69 Applied Mathematics and Computation
66 Annals of Mathematics. Second Series
65 Pacific Journal of Mathematics
62 Mediterranean Journal of Mathematics
60 Discrete Applied Mathematics
60 Journal of Computational and Applied Mathematics
59 Proceedings of the London Mathematical Society. Third Series
59 Tokyo Journal of Mathematics
59 Turkish Journal of Mathematics
59 Journal of the European Mathematical Society (JEMS)
57 Quaestiones Mathematicae
57 Journal of the Institute of Mathematics of Jussieu
56 Open Mathematics
55 LMS Journal of Computation and Mathematics
55 Journal of the Australian Mathematical Society
54 Bulletin of the American Mathematical Society. New Series
53 Bulletin de la Société Mathématique de France
52 Journal of Mathematical Sciences (New York)
52 Selecta Mathematica. New Series
52 Integral Transforms and Special Functions
50 American Mathematical Monthly
49 Documenta Mathematica
49 Forum of Mathematics, Sigma
49 Annales Mathématiques du Québec
48 Canadian Mathematical Bulletin
48 AIMS Mathematics
47 Combinatorica
47 Expositiones Mathematicae
...and 710 more Journals
all top 5

Cited in 62 Fields

21,745 Number theory (11-XX)
2,789 Algebraic geometry (14-XX)
2,743 Combinatorics (05-XX)
1,454 Group theory and generalizations (20-XX)
1,284 Special functions (33-XX)
910 Field theory and polynomials (12-XX)
894 Dynamical systems and ergodic theory (37-XX)
715 Computer science (68-XX)
707 Commutative algebra (13-XX)
689 Information and communication theory, circuits (94-XX)
571 Topological groups, Lie groups (22-XX)
460 Functions of a complex variable (30-XX)
422 Associative rings and algebras (16-XX)
414 Quantum theory (81-XX)
404 Measure and integration (28-XX)
386 Linear and multilinear algebra; matrix theory (15-XX)
363 Numerical analysis (65-XX)
360 Probability theory and stochastic processes (60-XX)
334 Convex and discrete geometry (52-XX)
300 Real functions (26-XX)
282 Harmonic analysis on Euclidean spaces (42-XX)
241 Approximations and expansions (41-XX)
199 \(K\)-theory (19-XX)
194 Several complex variables and analytic spaces (32-XX)
179 Functional analysis (46-XX)
172 Sequences, series, summability (40-XX)
167 Mathematical logic and foundations (03-XX)
139 Nonassociative rings and algebras (17-XX)
133 Manifolds and cell complexes (57-XX)
129 Geometry (51-XX)
118 Global analysis, analysis on manifolds (58-XX)
117 Difference and functional equations (39-XX)
110 Ordinary differential equations (34-XX)
110 Operator theory (47-XX)
94 Relativity and gravitational theory (83-XX)
88 Differential geometry (53-XX)
88 Statistical mechanics, structure of matter (82-XX)
87 Partial differential equations (35-XX)
83 History and biography (01-XX)
76 Category theory; homological algebra (18-XX)
72 Operations research, mathematical programming (90-XX)
70 Order, lattices, ordered algebraic structures (06-XX)
68 Algebraic topology (55-XX)
67 Statistics (62-XX)
62 Abstract harmonic analysis (43-XX)
60 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 General and overarching topics; collections (00-XX)
42 Integral transforms, operational calculus (44-XX)
39 General topology (54-XX)
19 Potential theory (31-XX)
19 Biology and other natural sciences (92-XX)
17 Mechanics of particles and systems (70-XX)
17 Mechanics of deformable solids (74-XX)
15 Integral equations (45-XX)
15 Mathematics education (97-XX)
14 Systems theory; control (93-XX)
13 General algebraic systems (08-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
8 Fluid mechanics (76-XX)
5 Optics, electromagnetic theory (78-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Geophysics (86-XX)

Citations by Year