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Acta Arithmetica

Short Title: Acta Arith.
Publisher: Polish Academy of Sciences (Polska Akademia Nauk - PAN), Institute of Mathematics (Instytut Matematyczny), Warsaw
ISSN: 0065-1036; 1730-6264/e
Online: https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all
http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-journal-aa
Comments: Indexed cover-to-cover
Documents Indexed: 5,108 Publications (since 1935)
References Indexed: 577 Publications with 8,295 References.
all top 5

Latest Issues

199, No. 1 (2021)
198, No. 4 (2021)
198, No. 3 (2021)
198, No. 2 (2021)
198, No. 1 (2021)
197, No. 4 (2021)
197, No. 3 (2021)
197, No. 2 (2021)
197, No. 1 (2021)
196, No. 4 (2020)
196, No. 3 (2020)
196, No. 2 (2020)
196, No. 1 (2020)
195, No. 4 (2020)
195, No. 3 (2020)
195, No. 2 (2020)
195, No. 1 (2020)
194, No. 4 (2020)
194, No. 3 (2020)
194, No. 2 (2020)
194, No. 1 (2020)
193, No. 4 (2020)
193, No. 3 (2020)
193, No. 2 (2020)
193, No. 1 (2020)
192, No. 4 (2020)
192, No. 3 (2020)
192, No. 2 (2020)
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191, No. 4 (2019)
191, No. 3 (2019)
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190, No. 4 (2019)
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190, No. 1 (2019)
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189, No. 3 (2019)
189, No. 2 (2019)
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188, No. 4 (2019)
188, No. 3 (2019)
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188, No. 1 (2019)
187, No. 4 (2019)
187, No. 3 (2019)
187, No. 2 (2019)
187, No. 1 (2019)
186, No. 4 (2018)
186, No. 3 (2018)
186, No. 2 (2018)
186, No. 1 (2018)
185, No. 4 (2018)
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183, No. 1 (2018)
182, No. 4 (2018)
182, No. 3 (2018)
182, No. 2 (2018)
182, No. 1 (2018)
181, No. 4 (2017)
181, No. 3 (2017)
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181, No. 1 (2017)
180, No. 4 (2017)
180, No. 3 (2017)
180, No. 2 (2017)
180, No. 1 (2017)
179, No. 4 (2017)
179, No. 3 (2017)
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178, No. 4 (2017)
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178, No. 1 (2017)
177, No. 4 (2017)
177, No. 3 (2017)
177, No. 2 (2017)
177, No. 1 (2017)
176, No. 4 (2016)
176, No. 3 (2016)
176, No. 2 (2016)
176, No. 1 (2016)
175, No. 4 (2016)
175, No. 3 (2016)
175, No. 2 (2016)
175, No. 1 (2016)
174, No. 4 (2016)
174, No. 3 (2016)
174, No. 2 (2016)
...and 573 more Volumes
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Authors

67 Schinzel, Andrzej
55 Erdős, Pál
42 Luca, Florian
37 Shorey, Tarlok Nath
35 Sárközy, András
33 Győry, Kálmán
33 Williams, Kenneth S.
28 Carlitz, Leonard
26 Niederreiter, Harald
26 Tijdeman, Robert
25 Zhai, Wenguang
24 Chen, Yonggao
24 Ramachandra, Kanakanahalli
23 Schmidt, Wolfgang M.
21 Baker, Roger C.
21 Bugeaud, Yann
21 Mózer, Ján
21 Saradha, N.
21 Sun, Zhi-Wei
20 Filaseta, Michael A.
20 Pintz, Janos
20 Shparlinski, Igor E.
19 Knapowski, Stanislaw
18 Iwaniec, Henryk
18 Le, Maohua
18 Ruzsa, Imre Z.
18 Zannier, Umberto M.
17 Balasubramanian, Ramachandran
17 Car, Mireille
17 Chowla, Sarvadaman
17 Pomerance, Carl Bernard
17 Sankaranarayanan, Ayyadurai
16 Evertse, Jan-Hendrik
16 Kaczorowski, Jerzy
16 Mauduit, Christian
16 Pan, Hao
16 Staś, Włodzimierz
15 Elliott, Peter D. T. A.
15 Girstmair, Kurt
15 Hajdu, Lajos
15 Turán, Pál
15 Zaharescu, Alexandru
15 Zhang, Wenpeng
14 Davenport, Harold
14 Fogels, Èrnest K.
14 Heath-Brown, Roger
14 Huxley, Martin N.
14 Mordell, Louis Joel
14 Sun, Zhihong
14 Wu, Jie
13 Dubickas, Artūras
13 Mahler, Kurt
13 Narkiewicz, Władysław
13 Schlage-Puchta, Jan-Christoph
13 Walsh, Peter Gareth
13 Wooley, Trevor D.
13 Yuan, Pingzhi
12 Delange, Hubert
12 Kátai, Imre
12 Louboutin, Stéphane R.
12 Mendès France, Michel
11 Berndt, Bruce Carl
11 Hooley, Christopher
11 Li, Hongze
11 Liu, Hongquan
11 Liu, Huaning
11 Matsumoto, Kohji
11 Mignotte, Maurice
11 Mullen, Gary L.
11 Ramaré, Olivier
10 Bennett, Michael A.
10 Bombieri, Enrico
10 Cohn, John H. E.
10 Dujella, Andrej
10 Faure, Henri
10 Harman, Glyn
10 Ivić, Aleksandar P.
10 Kaplan, Pierre
10 Lagarias, Jeffrey C.
10 Lau, Yuk-Kam
10 Laurinčikas, Antanas
10 Lehmer, Derrick Henry
10 Lemmermeyer, Franz Josef
10 Perelli, Alberto
10 Szemerédi, Endre
10 Tenenbaum, Gérald
10 Tichy, Robert Franz
10 Väänänen, Keijo O.
10 Van der Corput, Johannes Gualtherus
10 Vaughan, Robert C.
10 Walfisz, Arnold
9 Babu, Gutti Jogesh
9 Bremner, Andrew
9 Byeon, Dongho
9 Cochrane, Todd
9 De Koninck, Jean-Marie
9 Dodson, Michael Maurice
9 Eichler, Martin
9 Fouvry, Etienne
9 Gao, Weidong
...and 3,063 more Authors
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Fields

4,647 Number theory (11-XX)
320 Algebraic geometry (14-XX)
191 Field theory and polynomials (12-XX)
140 Combinatorics (05-XX)
97 Dynamical systems and ergodic theory (37-XX)
93 Group theory and generalizations (20-XX)
76 Special functions (33-XX)
75 Functions of a complex variable (30-XX)
62 Commutative algebra (13-XX)
48 History and biography (01-XX)
42 Measure and integration (28-XX)
37 \(K\)-theory (19-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
31 Computer science (68-XX)
29 Real functions (26-XX)
25 Convex and discrete geometry (52-XX)
25 Numerical analysis (65-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Probability theory and stochastic processes (60-XX)
19 Information and communication theory, circuits (94-XX)
17 Associative rings and algebras (16-XX)
16 Approximations and expansions (41-XX)
15 Topological groups, Lie groups (22-XX)
14 Several complex variables and analytic spaces (32-XX)
11 Difference and functional equations (39-XX)
10 General and overarching topics; collections (00-XX)
10 Sequences, series, summability (40-XX)
10 Geometry (51-XX)
8 Ordinary differential equations (34-XX)
7 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Mathematical logic and foundations (03-XX)
3 Nonassociative rings and algebras (17-XX)
3 Partial differential equations (35-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral transforms, operational calculus (44-XX)
3 Operator theory (47-XX)
3 General topology (54-XX)
2 Potential theory (31-XX)
2 Differential geometry (53-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

3,729 Publications have been cited 21,456 times in 13,579 Documents Cited by Year
On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056
Szemerédi, Endre
209
1975
Discrépance de suites associées à un système de numération (en dimension \(s\)). Zbl 0442.10035
Faure, Henri
120
1982
Echanges d’intervalles et transformations induites. Zbl 0414.28018
Rauzy, Gerard
107
1979
Irregularities of distribution. VII. Zbl 0244.10035
Schmidt, Wolfgang M.
105
1972
On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001
Dobrowolski, E.
96
1979
Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003
Gelfond, A. O.
93
1968
On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048
Mauduit, Christian; Sárközy, András
91
1997
A new form of the error term in the linear sieve. Zbl 0444.10038
Iwaniec, Henryk
77
1980
Universal graphs and universal functions. Zbl 0139.17303
Rado, R.
69
1964
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
64
1975
On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902
Kesten, H.
64
1966
Estimate of the Chebyshev theta function on the \(k\)th prime number and large values of the number of prime divisors function \(\omega(n)\) of \(n\). (Estimation de la fonction de Tchebychef theta sur le \(k\)-ième nombre premier et grandes valeurs de la fonction \(\omega(n)\), nombre de diviseurs premiers de \(n\).) Zbl 0475.10034
Robin, Guy
61
1983
Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085
Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio
60
2001
Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02
Siegel, C. L.
58
1935
On the number of sums and products. Zbl 0887.11012
Elekes, György
58
1997
Rosser’s sieve. Zbl 0435.10029
Iwaniec, Henryk
57
1980
On continued fractions and diophantine approximation in power series fields. Zbl 0987.11041
Schmidt, Wolfgang M.
54
2000
Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058
Stoll, Michael
53
2001
Solving a linear equation in a set of integers. I. Zbl 1042.11525
Ruzsa, Imre Z.
51
1993
Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074
Laurent, Michel
50
2008
The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065
Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
50
2001
On finite pseudorandom binary sequences. VII. Zbl 1126.11330
Cassaigne, Julien; Mauduit, Christian; Sárközy, András
49
2002
On certain hypotheses concerning prime numbers. (Sur certaines hypothèses concernant les nombres premiers.) Zbl 0082.25802
Schinzel, Andrzej; Sierpiński, Wacław
49
1958
The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049
Bilu, Yuri F.; Tichy, Robert F.
46
2000
On the addition of residue classes mod \(p\). Zbl 0156.04801
Erdős, Pál; Heilbronn, H.
46
1964
A mean value estimate for real character sums. Zbl 0828.11040
Heath-Brown, D. R.
44
1995
On approximation of real numbers by real algebraic numbers. Zbl 0937.11027
Beresnevich, V.
43
1999
On the order of magnitude of the difference between consecutive prime numbers. JFM 62.1147.01
Cramér, H.
42
1936
The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045
Heath-Brown, D. R.
42
1992
Frieze patterns. Zbl 0217.18101
Coxeter, H. S. M.
42
1971
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
41
1980
On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004
Schinzel, Andrzej
41
1973
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
40
2007
Small eigenvalues of Laplacian for \(\Gamma_ 0(N)\). Zbl 0702.11034
Iwaniec, Henryk
40
1990
Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014
Conway, J. H.; Jones, A. J.
40
1976
The distribution of polynomials over finite fields. Zbl 0209.36001
Cohen, S. D.
38
1970
Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020
Philipp, Walter
38
1975
Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014
Hong, Shaofang
37
2002
An extension of the Apéry number supercongruence. Zbl 1170.11008
Kilbourn, Timothy
37
2006
Euler constants for arithmetical progressions. Zbl 0302.12003
Lehmer, D. H.
36
1975
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
35
1964
Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033
Hata, Masayoshi
35
1993
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
34
1980
Primes in arithmetic progressions. Zbl 0517.10045
Fouvry, E.; Iwaniec, H.
34
1983
On the functional independence of the Dirichlet L-function. Zbl 0308.10025
Voronin, S. M.
34
1975
Period polynomials and Gauss sums for finite fields. Zbl 0393.12028
Myerson, Gerald
34
1981
Approximation to real numbers by algebraic integers. Zbl 0186.08603
Davenport, Harold; Schmidt, Wolfgang M.
34
1969
On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020
Knopp, Marvin; Mason, Geoffrey
33
2003
On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two. Zbl 0094.15902
Segre, Beniamino
33
1959
A new class of continued fraction expansions. Zbl 0721.11029
Kraaikamp, Cor
33
1991
Shifted primes without large prime factors. Zbl 0994.11033
Baker, R. C.; Harman, G.
32
1998
Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903
Siegel, Carl Ludwig
32
1935
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
32
1980
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
32
1996
Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062
Delange, Hubert
32
1972
Ovali ed altre curve nei piani di Galois di caratteristica due. Zbl 0219.50016
Segre, Beniamino; Bartocci, U.
32
1971
Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010
Knebusch, Manfred
32
1973
On c-semigroups. Zbl 0303.13014
Skula, Ladislav
32
1976
Parametric geometry of numbers and applications. Zbl 1236.11060
Schmidt, Wolfgang M.; Summerer, Leonhard
31
2009
On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042
Bernik, V. I.
31
1989
A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007
Risley, Rebecca N.; Zamboni, Luca Q.
31
2000
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026
Stroeker, R. J.; Tzanakis, N.
31
1994
On the theorem of Gauss-Kusmin-Levy and a Frobenius-type theorem for function spaces. Zbl 0283.10032
Wirsing, Eduard
31
1974
A general framework for subexponential discrete logarithm algorithms. Zbl 1028.11079
Enge, Andreas; Gaudry, Pierrick
30
2002
Nineteen quaternary quadratic forms. Zbl 1131.11025
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
30
2007
Initial powers of Sturmian sequences. Zbl 1117.37005
Berthé, Valérie; Holton, Charles; Zamboni, Luca Q.
30
2006
Fibonacci numbers and Fermat’s last theorem. Zbl 0725.11009
Sun, Zhihong; Sun, Zhiwei
30
1992
An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049
Bernik, V. I.
30
1983
On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038
Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas
29
2004
Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052
Besineau, Jean
29
1972
The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020
Conrey, J. B.; Duke, W.; Farmer, D. W.
29
1997
On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008
Mauduit, Christian; Sárközy, András
29
1997
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
29
1994
Sums of sets of group elements. Zbl 0318.10035
Olson, John E.
29
1975
Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009
Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch
28
1996
The cyclotomic numbers of order twelve. Zbl 0091.04302
Whiteman, A. L.
28
1960
Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055
Schmidt, Wolfgang M.
28
1995
Large values of Dirichlet polynomials. III. Zbl 0268.10026
Huxley, M. N.
28
1975
Lower bounds for discriminants of number fields. Zbl 0286.12006
Odlyzko, A. M.
28
1976
An effective lower bound for the height of algebraic numbers. Zbl 0838.11065
Voutier, Paul M.
27
1996
Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002
Morton, Patrick
27
1998
Further evaluations of Weil sums. Zbl 0917.11061
Coulter, Robert S.
27
1998
Explicit evaluations of some Weil sums. Zbl 0924.11098
Coulter, Robert S.
27
1998
On higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031
Zhai, Wenguang
27
2004
Parity results for broken \(k\)-diamond partitions and \((2k+1)\)-cores. Zbl 1226.11112
Radu, Silviu; Sellers, James A.
27
2011
Sur des formules de Atle Selberg. Zbl 0217.31902
Delange, Hubert
27
1971
Algebraic integers near the unit circle. Zbl 0221.12003
Blanksby, P. E.; Montgomery, H. L.
27
1971
More than 41% of the zeros of the zeta function are on the critical line. Zbl 1250.11083
Bui, H. M.; Conrey, Brian; Young, Matthew P.
26
2011
Computing integral points on elliptic curves. Zbl 0816.11019
Gebel, J.; Pethö, A.; Zimmer, H. G.
26
1994
On Epstein’s zeta function. Zbl 0128.27004
Bateman, P. T.; Grosswald, E.
26
1964
The divisor problem for arithmetic progressions. Zbl 0572.10033
Friedlander, J. B.; Iwaniec, H.
25
1985
On addition of two distinct sets of integers. Zbl 0817.11005
Lev, Vsevolod F.; Smeliansky, Pavel Y.
25
1995
Ergodic properties of generalized Lüroth series. Zbl 0848.11039
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor
25
1996
Mean values of Dirichlet polynomials and applications to linear equations with prime variables. Zbl 1182.11048
Choi, Stephen Kwok-Kwong; Kumchev, Angel V.
25
2006
\(L\)-functions of elliptic curves with complex multiplication. I. Zbl 0209.24603
Damerell, R. M.
25
1970
Interpolation series for continuous functions on \(\pi\)-adic completions of \(\text{GF}(q,x)\). Zbl 0223.12009
Wagner, Carl G.
25
1971
On a linear diophantine problem of Frobenius. Zbl 0246.10010
Erdős, Paul; Graham, Ronald L.
25
1972
Frontière du fractal de Rauzy et système de numération complexe. (Boundary of the Rauzy fractal and complex numeration system). Zbl 0968.28005
Messaoudi, Ali
25
2000
Pure and mixed exponential sums. Zbl 0937.11031
Cochrane, Todd; Zheng, Zhiyong
25
1999
Notes on small class numbers. Zbl 0285.12004
Montgomery, H. L.; Weinberger, P. J.
25
1974
Weierstrass semigroups at every point of the Suzuki curve. Zbl 1460.11089
Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni
2
2021
Skolem’s conjecture confirmed for a family of exponential equations. II. Zbl 1465.11085
Bérczes, A.; Hajdu, L.; Tijdeman, R.
1
2021
Gaussian behavior of quadratic irrationals. Zbl 1467.11073
Cesaratto, Eda; Vallée, Brigitte
1
2021
Profinite commensurability of \(S\)-arithmetic groups. Zbl 07324320
Kammeyer, Holger
1
2021
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). Zbl 07324322
Ahmed, Suman; Lim, Meng Fai
1
2021
On a theorem of Davenport and Schmidt. Zbl 07324326
Andersen, Nickolas; Duke, William
1
2021
Subconvexity for \(L\)-functions of non-spherical cusp forms on \(\mathrm{GL}(3)\). Zbl 07146370
Blomer, Valentin; Buttcane, Jack
6
2020
Divisibility of some binomial sums. Zbl 1464.11029
Ni, He-Xia; Pan, Hao
3
2020
On the 1-3-5 conjecture and related topics. Zbl 1458.11065
Wu, Hai-Liang; Sun, Zhi-Wei
2
2020
Halász’s theorem for Beurling generalized numbers. Zbl 1462.11074
Debruyne, Gregory; Maes, Frederick; Vindas, Jasson
2
2020
An application of the Hasse-Weil bound to rational functions over finite fields. Zbl 1456.11228
Hou, Xiang-Dong; Iezzi, Annamaria
2
2020
Generalized GCD for toric Fano varieties. Zbl 07221847
Grieve, Nathan
2
2020
Skolem’s conjecture confirmed for a family of exponential equations. Zbl 1450.11027
Hajdu, L.; Tijdeman, R.
2
2020
Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set. Zbl 1464.12003
Erdélyi, Tamás
2
2020
Generating ray class fields of real quadratic fields via complex equiangular lines. Zbl 1442.11153
Appleby, Marcus; Flammia, Steven; McConnell, Gary; Yard, Jon
2
2020
A new bound for the Erdős distinct distances problem in the plane over prime fields. Zbl 1447.52020
Iosevich, Alex; Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh
2
2020
Partition regularity and multiplicatively syndetic sets. Zbl 1464.05347
Chapman, Jonathan
1
2020
Preperiodic points for quadratic polynomials over cyclotomic quadratic fields. Zbl 1465.37111
Doyle, John R.
1
2020
Imaginary quadratic number fields with class groups of small exponent. Zbl 1453.11146
Elsenhans, Andreas-Stephan; Klüners, Jürgen; Nicolae, Florin
1
2020
On additive bases. III. Zbl 1461.11025
Gao, Weidong; Qu, Yongke; Zhang, Hanbin
1
2020
Bounds for discrete moments of Weyl sums and applications. Zbl 1458.11129
Halupczok, Karin
1
2020
Enumeration of a special class of irreducible polynomials in characteristic 2. Zbl 1458.14040
Bassa, Alp; Menares, Ricardo
1
2020
On the Iwasawa \(\mu \)-invariants of supersingular elliptic curves. Zbl 07221813
Saikia, Anupam
1
2020
Purely periodic and transcendental complex continued fractions. Zbl 1447.11088
González Robert, Gerardo
1
2020
Paramodular forms in CAP representations of \(\mathrm{GSp}(4)\). Zbl 1452.11056
Schmidt, Ralf
1
2020
On near-perfect numbers. Zbl 1465.11036
Cohen, Peter; Cordwell, Katherine; Epstein, Alyssa; Kwan, Chung-Hang; Lott, Adam; Miller, Steven J.
1
2020
Salem numbers as Mahler measures of Gaussian Pisot numbers. Zbl 1450.11111
Zaïmi, Toufik
1
2020
Quantum modular forms and singular combinatorial series with repeated roots of unity. Zbl 1458.11147
Folsom, Amanda; Jang, Min-Joo; Kimport, Sam; Swisher, Holly
1
2020
On Szemerédi’s theorem with differences from a random set. Zbl 07221831
Altman, Daniel
1
2020
On the divisibility of some truncated hypergeometric series. Zbl 1466.11008
Mao, Guo-Shuai; Pan, Hao
1
2020
Critical zeros of lacunary \(L\)-functions. Zbl 1451.11092
Conrey, J. B.; Iwaniec, H.
1
2020
Cyclic sums of finite multiple zeta values. Zbl 1461.11116
Kawasaki, Naho; Oyama, Kojiro
1
2020
On parametric geometry of numbers. Zbl 1452.11081
Schmidt, Wolfgang M.
1
2020
Twists of hyperelliptic curves by integers in progressions modulo \(p\). Zbl 07146371
Krumm, David; Pollack, Paul
1
2020
Primitive and geometric-progression-free sets without large gaps. Zbl 07146373
Mcnew, Nathan
1
2020
Irreducibility of polynomials with a large gap. Zbl 1442.11140
Sawin, Will; Shusterman, Mark; Stoll, Michael
1
2020
Torsion groups of elliptic curves over quadratic fields \(\mathbb{Q}(\sqrt d), 0 < d < 100\). Zbl 1450.11056
Trbović, Antonela
1
2020
A density version of Cobham’s theorem. Zbl 07178785
Byszewski, Jakub; Konieczny, Jakub
1
2020
On exceptional sets of transcendental functions with integer coefficients: solution of a problem of Mahler. Zbl 1450.11078
Marques, Diego; Moreira, Carlos Gustavo
1
2020
On path partitions of the divisor graph. Zbl 1462.11076
Melotti, Paul; Saias, Éric
1
2020
The trace of 2-primitive elements of finite fields. Zbl 1452.11147
Cohen, Stephen D.; Kapetanakis, Giorgos
1
2020
Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions. Zbl 1458.11131
Essouabri, Driss; Matsumoto, Kohji
1
2020
Note on a result of Shparlinski and related results. Zbl 1461.11029
Hegyvári, Norbert; Pálfy, Máté
1
2020
Supercongruences arising from hypergeometric series identities. Zbl 1456.11005
Liu, Ji-Cai
1
2020
On multiplicative decompositions of polynomial sequences. III. Zbl 1447.11099
Hajdu, L.; Sárközy, A.
1
2020
Some \(q\)-congruences with parameters. Zbl 1459.11052
Guo, Victor J. W.
6
2019
Fractional powers of the generating function for the partition function. Zbl 1435.11135
Chan, Heng Huat; Wang, Liuquan
5
2019
Continued fractions of certain Mahler functions. Zbl 1432.11089
Badziahin, Dmitry
5
2019
On the bifurcation set of unique expansions. Zbl 1441.11018
Kalle, Charlene; Kong, Derong; Li, Wenxia; Lü, Fan
5
2019
Diagonal genus 5 curves, elliptic curves over \(\mathbb{Q}(t)\), and rational Diophantine quintuples. Zbl 07118296
Stoll, Michael
4
2019
Mollification of the fourth moment of Dirichlet \(L\)-functions. Zbl 1454.11159
Zacharias, Raphaël
4
2019
A maximal extension of the best-known bounds for the Furstenberg-Sárközy theorem. Zbl 1441.11025
Rice, Alex
4
2019
Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups. Zbl 1448.11186
Xia, Ernest X. W.
4
2019
On the values of \(\varGamma^*(k,p)\) and \(\varGamma ^*(k)\). Zbl 1455.11058
Godinho, Hemar; Knapp, Michael P.; Rodrigues, Paulo H. A.; Veras, Daiane
2
2019
Isoclinism classes of Galois groups of number fields. Zbl 1443.11233
Kida, Masanari; Koda, Genki
2
2019
On the Erdős-Fuchs theorem. Zbl 1441.11264
Dai, Li-Xia; Pan, Hao
2
2019
Exponential sums related to Maass forms. Zbl 1460.11108
Jääsaari, Jesse; Vesalainen, Esa V.
2
2019
Construction of unramified extensions with a prescribed solvable Galois group. Zbl 1412.12003
Kim, Kwang-Seob
2
2019
Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials. Zbl 1461.11106
Kleinbock, Dmitry; Moshchevitin, Nikolay
2
2019
Badly approximable numbers over imaginary quadratic fields. Zbl 1451.11073
Hines, Robert
2
2019
Measure-theoretic aspects of oscillations of error terms. Zbl 1451.11104
Mahatab, Kamalakshya; Mukhopadhyay, Anirban
2
2019
Beta-expansion and continued fraction expansion of real numbers. Zbl 1448.11150
Fang, Lulu; Wu, Min; Li, Bing
2
2019
Computing integral points on genus 2 curves estimating hyperelliptic logarithms. Zbl 1443.11121
Gallegos-Ruiz, Homero R.
2
2019
Exact Wiener-Ikehara theorems. Zbl 1441.11238
Zhang, Wen-Bin
2
2019
\(\mathrm{HD}(M\setminus L) > 0.353\). Zbl 1440.11121
Matheus, Carlos; Moreira, Carlos Gustavo
2
2019
Sums of exceptional units in finite commutative rings. Zbl 1453.11166
Miguel, C.
2
2019
A Fourier-analytic approach to inhomogeneous Diophantine approximation. Zbl 1437.11107
Yu, Han
1
2019
The 3-part of the ideal class group of a certain family of real cyclotomic fields. Zbl 1452.11131
Agathocleous, Eleni
1
2019
On the integral divisors of the Carlitz analogue of \(a^n-b^n\). Zbl 1451.11125
Bamunoba, Alex Samuel
1
2019
Products of factorials which are powers. Zbl 1441.11062
Bérczes, A.; Dujella, A.; Hajdu, L.; Saradha, N.; Tijdeman, R.
1
2019
Finiteness of trivial solutions of factorial products yielding a factorial over number fields. Zbl 1452.11034
Takeda, Wataru
1
2019
Distribution of \(\alpha n +\beta \) modulo 1 over integers free from large and small primes. Zbl 1436.11099
Yau, Kam Hung
1
2019
On the density of rational points on rational elliptic surfaces. Zbl 07087796
Desjardins, Julie
1
2019
Determination of \(\mathrm{GL}(2)\) Maass forms from twists in the level aspect. Zbl 1441.11122
Saha, Biswajyoti; Sengupta, Jyoti
1
2019
On the Iwasawa asymptotic class number formula for \(\mathbb{Z}_{p}^r\rtimes \mathbb{Z}_{p}\)-extensions. Zbl 1455.11148
Liang, Dingli; Lim, Meng Fai
1
2019
Lower bounds for the rank of families of abelian varieties under base change. Zbl 1441.11144
Hindry, Marc; Salgado, Cecília
1
2019
Overpartition \(M2\)-rank differences, class number relations, and vector-valued mock Eisenstein series. Zbl 07087806
Williams, Brandon
1
2019
Bounding the order of the central zero of a zeta function over a function field. Zbl 1441.11292
Bllaca, Kajtaz H.
1
2019
A further look at the truncated pentagonal number theorem. Zbl 1455.11134
Chern, Shane
1
2019
A variant of multiplicity one theorems for half-integral weight modular forms. Zbl 1436.11040
Kumar, Narasimha
1
2019
The number of zeros of \(L'(s,\chi)\). Zbl 1466.11057
Ge, Fan
1
2019
A family of cyclic quartic fields with explicit fundamental units. Zbl 1442.11141
Balady, Steve; Washington, Lawrence C.
1
2019
The function field Sathe-Selberg formula in arithmetic progressions and ‘short intervals’. Zbl 1464.11132
Afshar, Ardavan; Porritt, Sam
1
2019
Finding exact formulas for the \(L_2\) discrepancy of digital \((0,n,2)\)-nets via Haar functions. Zbl 1454.11136
Kritzinger, Ralph
1
2019
Dilated floor functions having nonnegative commutator. I: Positive and mixed sign dilations. Zbl 1454.11012
Lagarias, Jeffrey C.; Richman, David Harry
1
2019
Cuspidal divisor class groups of non-split Cartan modular curves. Zbl 1441.11161
Carlucci, Pierfrancesco
1
2019
Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem. Zbl 1441.11160
Jetchev, Dimitar; Wesolowski, Benjamin
1
2019
Linear correlations of the divisor function. Zbl 1441.11229
Bettin, Sandro
1
2019
On certain vector valued Siegel modular forms of type \((k,2)\) over \(\mathbb Z_{(p)}\). Zbl 1441.11112
Kodama, Hirotaka
1
2019
Explicit estimates for polynomial systems defining irreducible smooth complete intersections. Zbl 1446.14031
von zur Gathen, Joachim; Matera, Guillermo
1
2019
Another note on “Euclidean algorithms are Gaussian” by V. Baladi and B. Vallée. Zbl 1417.37057
Lee, Jungwon; Sun, Hae-Sang
1
2019
Quantitative results using variants of Schmidt’s game: dimension bounds, arithmetic progressions, and more. Zbl 1443.11144
Broderick, Ryan; Fishman, Lior; Simmons, David
1
2019
Some congruences connecting quadratic class numbers with continued fractions. Zbl 07146365
Cheng, Weidong; Guo, Xuejun
1
2019
On the discrepancy of random subsequences of \(\{n\alpha\}\). Zbl 1452.11092
Berkes, István; Borda, Bence
1
2019
New permutation trinomials constructed from fractional polynomials. Zbl 1402.05004
Li, Kangquan; Qu, Longjiang; Li, Chao; Fu, Shaojing
19
2018
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
8
2018
Arithmetical invariants of local quaternion orders. Zbl 1418.16010
Baeth, Nicholas R.; Smertnig, Daniel
5
2018
Some variants of Lagrange’s four squares theorem. Zbl 1410.11035
Sun, Yu-Chen; Sun, Zhi-Wei
5
2018
Sum-product type estimates for subsets of finite valuation rings. Zbl 1440.11009
Aksoy Yazici, Esen
4
2018
Shifted polyharmonic Maass forms for \(\text{PSL} (2,{\mathbb Z})\). Zbl 1440.11078
Andersen, Nickolas; Lagarias, Jeffrey C.; Rhoades, Robert C.
4
2018
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Cited by 8,454 Authors

170 Shparlinski, Igor E.
120 Luca, Florian
72 Dubickas, Artūras
70 Bugeaud, Yann
65 Laurinčikas, Antanas
58 Zaharescu, Alexandru
54 Sun, Zhi-Wei
53 Sárközy, András
50 Pillichshammer, Friedrich
49 Zhang, Wenpeng
46 Togbé, Alain
44 Chen, Yonggao
43 Mauduit, Christian
42 Zhai, Wenguang
41 Hajdu, Lajos
40 Lu, Guangshi
39 Aistleitner, Christoph
38 Larcher, Gerhard
38 Pan, Hao
38 Tichy, Robert Franz
38 Winterhof, Arne
38 Zannier, Umberto M.
37 Geroldinger, Alfred
37 Niederreiter, Harald
36 Guo, Victor J. W.
36 Tenenbaum, Gérald
35 Pollack, Paul
34 Louboutin, Stéphane R.
34 Moree, Pieter
33 Dick, Josef
33 Erdős, Pál
33 Ivić, Aleksandar P.
33 Murty, Maruti Ram
33 Schmidt, Wolfgang M.
32 Matsumoto, Kohji
32 Williams, Kenneth S.
32 Zudilin, Wadim
31 Berndt, Bruce Carl
31 Dujella, Andrej
31 Miller, Steven J.
31 Shkredov, Il’ya Dmitrievich
30 Iwaniec, Henryk
30 Sun, Zhihong
29 Bennett, Michael A.
29 Mignotte, Maurice
29 Pomerance, Carl Bernard
29 Thuswaldner, Jörg Maximilian
29 Xia, Ernest X. W.
28 Fouvry, Etienne
28 Shorey, Tarlok Nath
28 Tsumura, Hirofumi
28 Wooley, Trevor D.
27 Cochrane, Todd
27 Friedlander, John Benjamin
27 Liu, Huaning
27 Wu, Jie
26 Pintz, Janos
26 Tao, Terence
25 Banks, William D.
25 Bergelson, Vitaly
25 Fomenko, Oleg Mstislavovich
25 Győry, Kálmán
25 Korolëv, Maksim Aleksandrovich
25 Perelli, Alberto
25 Pethő, Attila
25 Silverman, Joseph Hillel
25 Tanigawa, Yoshio
24 Bernik, Vasiliĭ Ivanovich
24 Fuchs, Clemens
24 Gao, Weidong
24 Ostafe, Alina
24 Pinner, Christopher G.
24 Roy, Damien
23 Cilleruelo, Javier
23 Garaev, Moubariz Z.
23 Kaczorowski, Jerzy
23 Pintér, Ákos
23 Ramaré, Olivier
23 Tijdeman, Robert
23 Yue, Qin
23 Ziegler, Volker
22 Cai, Yingchun
22 Siksek, Samir
22 Tang, Min
22 Yuan, Pingzhi
21 Alkan, Emre
21 Azizi, Abdelmalek
21 Baier, Stephan
21 Berthé, Valérie
21 Cohen, Stephen D.
21 Drmota, Michael
21 Ford, Kevin B.
21 Kraaikamp, Cor
21 Masser, David William
21 Nowak, Werner Georg
21 Yao, Olivia Xiang Mei
20 Bourgain, Jean
20 Elsholtz, Christian
20 Ichimura, Humio
20 Madritsch, Manfred G.
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Cited in 569 Journals

1,763 Journal of Number Theory
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235 Acta Arithmetica
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179 Archiv der Mathematik
166 Mathematische Annalen
154 Israel Journal of Mathematics
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54 Proceedings of the Steklov Institute of Mathematics
52 Mathematica Slovaca
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22 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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