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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
https://bibliotekanauki.pl/journals/1085/issues
http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-journal-aa
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 5,431 Publications (since 1935)
References Indexed: 894 Publications with 15,634 References.
all top 5

Latest Issues

216, No. 1 (2024)
215, No. 4 (2024)
215, No. 3 (2024)
215, No. 2 (2024)
215, No. 1 (2024)
214 (2024)
213, No. 4 (2024)
213, No. 3 (2024)
213, No. 2 (2024)
213, No. 1 (2024)
212, No. 4 (2024)
212, No. 3 (2024)
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211, No. 4 (2023)
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210 (2023)
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208, No. 4 (2023)
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201, No. 1 (2021)
200, No. 4 (2021)
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199, No. 4 (2021)
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199, No. 1 (2021)
198, No. 4 (2021)
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197, No. 4 (2021)
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197, No. 1 (2021)
196, No. 4 (2020)
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192, No. 4 (2020)
192, No. 3 (2020)
192, No. 2 (2020)
192, No. 1 (2020)
191, No. 4 (2019)
191, No. 3 (2019)
191, No. 2 (2019)
191, No. 1 (2019)
190, No. 4 (2019)
190, No. 3 (2019)
190, No. 2 (2019)
190, No. 1 (2019)
189, No. 4 (2019)
189, No. 3 (2019)
189, No. 2 (2019)
189, No. 1 (2019)
...and 632 more Volumes
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Authors

67 Schinzel, Andrzej
55 Erdős, Pál
43 Luca, Florian
38 Győry, Kálmán
37 Sárközy, András
37 Shorey, Tarlok Nath
33 Williams, Kenneth S.
28 Carlitz, Leonard
27 Tijdeman, Robert
26 Chen, Yonggao
26 Niederreiter, Harald
26 Zhai, Wenguang
24 Ramachandra, Kanakanahalli
24 Schmidt, Wolfgang M.
23 Bugeaud, Yann
23 Pintz, Janos
23 Sun, Zhi-Wei
21 Baker, Roger C.
21 Filaseta, Michael A.
21 Hall, Richard R.
21 Mózer, Ján
21 Saradha, N.
21 Shparlinski, Igor E.
19 Hajdu, Lajos
19 Iwaniec, Henryk
19 Kaczorowski, Jerzy
19 Knapowski, Stanislaw
19 Le, Maohua
19 Ruzsa, Imre Z.
18 Balasubramanian, Ramachandran
18 Car, Mireille
18 Evertse, Jan-Hendrik
18 Mauduit, Christian
18 Pomerance, Carl Bernard
18 Zannier, Umberto M.
17 Chowla, Sarvadaman
17 Sankaranarayanan, Ayyadurai
16 Heath-Brown, Roger
16 Pan, Hao
16 Staś, Włodzimierz
15 Elliott, Peter D. T. A.
15 Girstmair, Kurt
15 Huxley, Martin N.
15 Turán, Pál
15 Wooley, Trevor D.
15 Wu, Jie
15 Zaharescu, Alexandru
15 Zhang, Wenpeng
14 Davenport, Harold
14 Fogels, Èrnest K.
14 Mordell, Louis Joel
14 Sun, Zhihong
13 Bennett, Michael A.
13 Dubickas, Artūras
13 Mahler, Kurt
13 Narkiewicz, Władysław
13 Perelli, Alberto
13 Schlage-Puchta, Jan-Christoph
13 Walsh, Peter Gareth
13 Yuan, Pingzhi
12 Byeon, Dongho
12 Delange, Hubert
12 Fouvry, Etienne
12 Gao, Weidong
12 Kátai, Imre
12 Louboutin, Stéphane R.
12 Mendès France, Michel
12 Ramaré, Olivier
12 Tenenbaum, Gérald
11 Berndt, Bruce Carl
11 Bremner, Andrew
11 Brüdern, Jörg
11 Cohen, Stephen D.
11 Dujella, Andrej
11 Harman, Glyn
11 Hooley, Christopher
11 Liu, Hongquan
11 Liu, Huaning
11 Matsumoto, Kohji
11 Mignotte, Maurice
11 Mullen, Gary L.
11 Schweiger, Fritz
11 Waldschmidt, Michel
10 Bombieri, Enrico
10 Cohn, John H. E.
10 Faure, Henri
10 Goldston, Daniel Alan
10 Ivić, Aleksandar
10 Kaplan, Pierre
10 Lagarias, Jeffrey C.
10 Lau, Yuk-Kam
10 Laurinčikas, Antanas
10 Lehmer, Derrick Henry
10 Lemmermeyer, Franz Josef
10 Li, Hongze
10 Stewart, Cameron L.
10 Szemerédi, Endre
10 Tichy, Robert Franz
10 Väänänen, Keijo O.
10 Van der Corput, Johannes Gualtherus
...and 3,359 more Authors
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Fields

5,009 Number theory (11-XX)
351 Algebraic geometry (14-XX)
196 Field theory and polynomials (12-XX)
147 Combinatorics (05-XX)
112 Dynamical systems and ergodic theory (37-XX)
98 Group theory and generalizations (20-XX)
82 Special functions (33-XX)
79 Functions of a complex variable (30-XX)
65 Commutative algebra (13-XX)
48 History and biography (01-XX)
47 Measure and integration (28-XX)
40 \(K\)-theory (19-XX)
34 Computer science (68-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
30 Real functions (26-XX)
26 Convex and discrete geometry (52-XX)
26 Probability theory and stochastic processes (60-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
25 Numerical analysis (65-XX)
22 Associative rings and algebras (16-XX)
19 Information and communication theory, circuits (94-XX)
18 Approximations and expansions (41-XX)
16 Topological groups, Lie groups (22-XX)
15 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)
9 Functional analysis (46-XX)
8 Ordinary differential equations (34-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Mathematical logic and foundations (03-XX)
4 Nonassociative rings and algebras (17-XX)
4 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)
2 Manifolds and cell complexes (57-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

4,231 Publications have been cited 30,004 times in 18,431 Documents Cited by Year
On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056
Szemerédi, Endre
351
1975
Discrépance de suites associées à un système de numération (en dimension \(s\)). Zbl 0442.10035
Faure, Henri
161
1982
Echanges d’intervalles et transformations induites. Zbl 0414.28018
Rauzy, Gerard
135
1979
Irregularities of distribution. VII. Zbl 0244.10035
Schmidt, Wolfgang M.
134
1972
Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003
Gelfond, A. O.
132
1968
On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001
Dobrowolski, E.
125
1979
On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048
Mauduit, Christian; Sárközy, András
115
1997
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
104
1983
Universal graphs and universal functions. Zbl 0139.17303
Rado, R.
101
1964
A new form of the error term in the linear sieve. Zbl 0444.10038
Iwaniec, Henryk
90
1980
Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02
Siegel, C. L.
88
1935
Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074
Laurent, Michel
86
2008
Solving a linear equation in a set of integers. I. Zbl 1042.11525
Ruzsa, Imre Z.
84
1993
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
82
1975
A mean value estimate for real character sums. Zbl 0828.11040
Heath-Brown, D. R.
82
1995
On continued fractions and diophantine approximation in power series fields. Zbl 0987.11041
Schmidt, Wolfgang M.
81
2000
Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085
Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio
78
2001
On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902
Kesten, H.
77
1966
On the number of sums and products. Zbl 0887.11012
Elekes, György
72
1997
The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065
Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
69
2001
Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058
Stoll, Michael
68
2001
Frieze patterns. Zbl 0217.18101
Coxeter, H. S. M.
68
1971
On certain hypotheses concerning prime numbers. (Sur certaines hypothèses concernant les nombres premiers.) Zbl 0082.25802
Schinzel, Andrzej; Sierpiński, Wacław
67
1958
Rosser’s sieve. Zbl 0435.10029
Iwaniec, Henryk
65
1980
The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049
Bilu, Yuri F.; Tichy, Robert F.
63
2000
On the order of magnitude of the difference between consecutive prime numbers. JFM 62.1147.01
Cramér, H.
59
1936
On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004
Schinzel, Andrzej
58
1973
Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014
Conway, J. H.; Jones, A. J.
57
1976
On finite pseudorandom binary sequences. VII. Zbl 1126.11330
Cassaigne, Julien; Mauduit, Christian; Sárközy, András
56
2002
On the addition of residue classes mod \(p\). Zbl 0156.04801
Erdős, Pál; Heilbronn, H.
56
1964
Small eigenvalues of Laplacian for \(\Gamma_ 0(N)\). Zbl 0702.11034
Iwaniec, Henryk
55
1990
An effective lower bound for the height of algebraic numbers. Zbl 0838.11065
Voutier, Paul M.
55
1996
The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045
Heath-Brown, D. R.
52
1992
On approximation of real numbers by real algebraic numbers. Zbl 0937.11027
Beresnevich, V.
52
1999
An extension of the Apéry number supercongruence. Zbl 1170.11008
Kilbourn, Timothy
50
2006
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
50
1980
The distribution of polynomials over finite fields. Zbl 0209.36001
Cohen, Stephen D.
50
1970
On the functional independence of the Dirichlet L-function. Zbl 0308.10025
Voronin, S. M.
49
1975
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
49
2007
Approximation to real numbers by algebraic integers. Zbl 0186.08603
Davenport, Harold; Schmidt, Wolfgang M.
48
1969
Period polynomials and Gauss sums for finite fields. Zbl 0393.12028
Myerson, Gerald
48
1981
Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020
Philipp, Walter
47
1975
Euler constants for arithmetical progressions. Zbl 0302.12003
Lehmer, D. H.
46
1975
Parametric geometry of numbers and applications. Zbl 1236.11060
Schmidt, Wolfgang M.; Summerer, Leonhard
45
2009
On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038
Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas
45
2004
Explicit evaluations of some Weil sums. Zbl 0924.11098
Coulter, Robert S.
45
1998
Shifted primes without large prime factors. Zbl 0994.11033
Baker, R. C.; Harman, G.
45
1998
Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014
Hong, Shaofang
44
2002
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
44
1980
A new class of continued fraction expansions. Zbl 0721.11029
Kraaikamp, Cor
43
1991
On the theorem of Gauss-Kusmin-Levy and a Frobenius-type theorem for function spaces. Zbl 0283.10032
Wirsing, Eduard
43
1974
Power sums of Hecke eigenvalues and application. Zbl 1232.11054
Wu, Jie
42
2009
Further evaluations of Weil sums. Zbl 0917.11061
Coulter, Robert S.
42
1998
Traces of high powers of the Frobenius class in the hyperelliptic ensemble. Zbl 1260.11057
Rudnick, Zeév
41
2010
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
41
1994
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026
Stroeker, R. J.; Tzanakis, N.
41
1994
Additive properties of certain sets. Zbl 1014.11009
Dombi, Gergely
41
2002
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
41
1980
On a diophantine inequality involving prime numbers. Zbl 0762.11033
Tolev, D. I.
40
1992
Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033
Hata, Masayoshi
40
1993
Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055
Schmidt, Wolfgang M.
40
1995
An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049
Bernik, V. I.
40
1983
Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062
Delange, Hubert
40
1972
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
39
1996
On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two. Zbl 0094.15902
Segre, Beniamino
39
1959
Primes in arithmetic progressions. Zbl 0517.10045
Fouvry, E.; Iwaniec, H.
39
1983
On higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031
Zhai, Wenguang
39
2004
Sur des formules de Atle Selberg. Zbl 0217.31902
Delange, Hubert
39
1971
Ovali ed altre curve nei piani di Galois di caratteristica due. Zbl 0219.50016
Segre, Beniamino; Bartocci, U.
39
1971
On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions. Zbl 1248.11067
Xylouris, Triantafyllos
38
2011
Sums of sets of group elements. Zbl 0318.10035
Olson, John E.
38
1975
Nineteen quaternary quadratic forms. Zbl 1131.11025
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
38
2007
Ergodic properties of generalized Lüroth series. Zbl 0848.11039
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor
38
1996
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
38
1964
On the theorem of Jarnik and Besicovitch. Zbl 0468.10031
Kaufman, R.
38
1981
Large values of Dirichlet polynomials. III. Zbl 0268.10026
Huxley, M. N.
38
1975
Initial powers of Sturmian sequences. Zbl 1117.37005
Berthé, Valérie; Holton, Charles; Zamboni, Luca Q.
37
2006
On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042
Bernik, V. I.
37
1989
Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009
Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch
37
1996
Hypergeometric series and Riemann zeta-function. Zbl 0881.11066
Chu, Wenchang
37
1997
On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008
Mauduit, Christian; Sárközy, András
37
1997
Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903
Siegel, Carl Ludwig
37
1935
The divisor function \(d_3(n)\) in arithmetic progressions. Zbl 0549.10034
Heath-Brown, D. R.
37
1986
On Linnik’s approximation to Goldbach’s problem. I. Zbl 1031.11060
Pintz, J.; Ruzsa, I. Z.
37
2003
On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020
Knopp, Marvin; Mason, Geoffrey
37
2003
Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002
Morton, Patrick
37
1998
The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902
Hayes, D. R.
37
1966
Carmichael’s lambda function. Zbl 0734.11047
Erdős, Paul; Pomerance, Carl; Schmutz, Eric
36
1991
The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020
Conrey, J. B.; Duke, W.; Farmer, D. W.
36
1997
Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010
Knebusch, Manfred
36
1973
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.
35
2011
Fibonacci numbers and Fermat’s last theorem. Zbl 0725.11009
Sun, Zhihong; Sun, Zhiwei
35
1992
Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052
Besineau, Jean
35
1972
On a linear diophantine problem of Frobenius. Zbl 0246.10010
Erdős, Paul; Graham, Ronald L.
34
1972
Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501
Davenport, Harold; Schmidt, Wolfgang M.
34
1970
Reduction of an arbitrary diophantine equation to one in 13 unknowns. Zbl 0279.10019
Matijasevič, Juriĭ; Robinson, Julia
34
1975
Lower bounds for discriminants of number fields. Zbl 0286.12006
Odlyzko, A. M.
34
1976
A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007
Risley, Rebecca N.; Zamboni, Luca Q.
33
2000
On c-semigroups. Zbl 0303.13014
Skula, Ladislav
33
1976
Computing integral points on elliptic curves. Zbl 0816.11019
Gebel, J.; Pethö, A.; Zimmer, H. G.
33
1994
On a Kurzweil type theorem via ubiquity. Zbl 07856594
Kim, Taehyeong
1
2024
Polynomial moments with a weighted zeta square measure on the critical line. Zbl 07815269
Darses, Sébastien; Hillion, Erwan
1
2024
On the solutions of \(x^p+y^p=2^r z^p\), \(x^p+y^p=z^2\) over totally real fields. Zbl 1542.11039
Kumar, Narasimha; Sahoo, Satyabrat
1
2024
On the sum of two powered numbers. Zbl 07903821
Brüdern, Jörg; Robert, Olivier
1
2024
Conditional lower bounds on the distribution of central values in families of \(L\)-functions. Zbl 07903829
Radziwiłł, Maksym; Soundararajan, Kannan
1
2024
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms. Zbl 07914787
Kim, Henry H.; Wakatsuki, Satoshi; Yamauchi, Takuya
1
2024
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond. Zbl 1526.11049
Hu, Pei-Chu; Li, Bao Qin
2
2023
Density theorems for Riemann’s zeta-function near the line \(\operatorname{Re} s = 1\). Zbl 07732757
Pintz, János
2
2023
Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Zbl 1540.14051
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya
2
2023
Multiplicative complements. I. Zbl 1522.11094
Kocsis, Anett; Matolcsi, Dávid; Sándor, Csaba; Tőtős, György
1
2023
Ramanujan-Sato series for \(1/\pi\). Zbl 1522.11025
Huber, Tim; Schultz, Daniel; Ye, Dongxi
1
2023
On \(d\)-complete sequences of integers. II. Zbl 1528.11016
Chen, Yong-Gao; Yu, Wang-Xing
1
2023
One-level density of quadratic twists of \(L\)-functions. Zbl 07683779
Gao, Peng; Zhao, Liangyi
1
2023
Zagier duality for real weights. Zbl 1537.11060
Lee, Youngmin; Lim, Subong
1
2023
Hermite equivalence of polynomials. Zbl 1534.11034
Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A.
1
2023
Selberg’s sieve of irregular density. Zbl 1540.11118
Friedlander, J. B.; Iwaniec, H.
1
2023
Lower bounds for the modified Szpiro ratio. Zbl 07732759
Barrios, Alexander J.
1
2023
\({\varOmega }\)-result for the remainder term in Beurling’s prime number theorem for well-behaved integers. Zbl 1533.11172
Hilberdink, Titus W.; Kaziulytė, Laima
1
2023
A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields. Zbl 1535.11013
Mizuno, Yoshinori
1
2023
Number of integers represented by families of binary forms. I. Zbl 1536.11071
Fouvry, Étienne; Waldschmidt, Michel
1
2023
A new explicit formula in the additive theory of primes with applications. I: The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem. Zbl 1541.11083
Pintz, János
1
2023
On Ihara’s conjectures for Euler-Kronecker constants. Zbl 1537.11134
Dixit, Anup B.; Murty, M. Ram
1
2023
Small gaps and small spacings between zeta zeros. Zbl 07771569
Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L.
1
2023
On orders in quadratic number fields with unusual sets of distances. Zbl 1536.11176
Reinhart, Andreas
1
2023
On the Pythagoras number of the simplest cubic fields. Zbl 1536.11179
Tinková, Magdaléna
1
2023
Growth of \(p\)-parts of ideal class groups and fine Selmer groups in \(\mathbb{Z}_q\)-extensions with \(p \neq q\). Zbl 07690061
Kundu, Debanjana; Lei, Antonio
1
2023
Average Bateman-Horn for Kummer polynomials. Zbl 1525.11103
Balestrieri, Francesca; Rome, Nick
1
2023
\(G\)-bundles on the absolute Fargues-Fontaine curve. Zbl 1519.14026
Anschütz, Johannes
1
2023
Fermat’s last theorem and modular curves over real quadratic fields. Zbl 1503.11071
Michaud-Jacobs, Philippe
9
2022
Low-degree permutation rational functions over finite fields. Zbl 1492.11162
Ding, Zhiguo; Zieve, Michael E.
7
2022
A geometric linear Chabauty comparison theorem. Zbl 1535.11092
Hashimoto, Sachi; Spelier, Pim
4
2022
On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. Zbl 1492.11115
Karpenkov, Oleg
4
2022
Linear independence criteria for generalized polylogarithms with distinct shifts. Zbl 1515.11068
David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto
4
2022
On the leading constant in the Manin-type conjecture for Campana points. Zbl 1517.11072
Shute, Alec
4
2022
Primes with one excluded digit. Zbl 1496.11010
Karwatowski, Fabian
3
2022
Hegyvári’s theorem on complete sequences. II. Zbl 1515.11011
Ma, Wu-Xia; Chen, Yong-Gao
3
2022
On the algebraicity of Thue-Morse and period-doubling continued fractions. Zbl 1498.11083
Hu, Yining; Han, Guo-Niu
3
2022
On extreme values for the Sudler product of quadratic irrationals. Zbl 1501.11074
Hauke, Manuel
3
2022
Point sets with optimal order of extreme and periodic discrepancy. Zbl 1503.11107
Kritzinger, Ralph; Pillichshammer, Friedrich
3
2022
On products of primes and almost primes in arithmetic progressions. Zbl 1503.11125
Zhao, Lilu
3
2022
Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. Zbl 1515.11113
Kulkarni, Kaivalya R.; Levin, Aaron
3
2022
Coincidence of \(L\)-functions. Zbl 1509.11107
Katayama, Yuta; Kida, Masanari
3
2022
On additive and multiplicative decompositions of sets of integers composed from a given set of primes. I: Additive decompositions. Zbl 1491.11089
Győry, K.; Hajdu, L.; Sárközy, A.
2
2022
Joint distribution in residue classes of polynomial-like multiplicative functions. Zbl 1492.11007
Pollack, Paul; Roy, Akash Singha
2
2022
Weighted sums of generalized polygonal numbers with coefficients \(1\) or \(2\). Zbl 1491.11037
Kim, Daejun
2
2022
Algebraic independence of certain entire functions of two variables generated by linear recurrences. Zbl 1496.11098
Ide, Haruki
2
2022
Independent relative units of low height. Zbl 1494.11057
Akhtari, Shabnam; Vaaler, Jeffrey D.
2
2022
Uniformity norms, their weaker versions, and applications. Zbl 07547459
Dodos, Pandelis; Kanellopoulos, Vassilis
2
2022
The asymptotics of nilpotent Galois groups. Zbl 1509.11109
Klüners, Jürgen
2
2022
Infinitely many cubic points for \(X_0^+(N)\) over \(\mathbb{Q}\). Zbl 1515.11057
Bars, Francesc; Dalal, Tarun
2
2022
Cycle integrals of the parson Poincaré series and intersection angles of geodesics on modular curves. Zbl 1506.11079
Lägeler, Alessandro; Schwagenscheidt, Markus
2
2022
Uniform explicit Stewart theorem on prime factors of linear recurrences. Zbl 1520.11017
Bilu, Yuri; Gun, Sanoli; Hong, Haojie
2
2022
The density of elliptic Dedekind sums. Zbl 1517.11036
Berkopec, Nicolas; Branch, Jacob; Heikkinen, Rachel; Nunn, Caroline; Wong, Tian An
2
2022
Statistics for \(p\)-ranks of Artin-Schreier covers. Zbl 1514.11039
Ray, Anwesh
2
2022
The index of degeneracy of a CM abelian variety can be arbitrarily large. Zbl 1502.11067
Kida, Masanari; Yanai, Hiromichi
1
2022
Subconvexity for twisted \(\mathrm{GL}_3\) \(L\)-functions. Zbl 1495.11064
Kıral, Eren Mehmet; Kuan, Chan Ieong; Lesesvre, Didier
1
2022
Bilinear sums of Gauss sums. Zbl 1496.11108
Shparlinski, Igor E.
1
2022
On a logarithmic sum related to the Selberg sieve. Zbl 1490.11092
Zuniga Alterman, Sebastian
1
2022
Linear equations with two variables in Piatetski-Shapiro sequences. Zbl 1496.11105
Saito, Kota
1
2022
Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski. II. Zbl 1495.11006
Zhao, Feng; Wu, Jie
1
2022
An identity involving weighted and desingularized multiple zeta functions. Zbl 1492.11129
Sahoo, Dilip K.; Viswanadham, G. K.
1
2022
Small gaps between three almost primes and almost prime powers. Zbl 1504.11097
Goldston, Daniel A.; Panidapu, Apoorva; Schettler, Jordan
1
2022
Coprimality of Fourier coefficients of eigenforms. Zbl 1511.11042
Ganguly, Satadal; Kumar, Arvind; Kumari, Moni
1
2022
Optimality for the two-parameter quadratic sieve. Zbl 1501.11092
Carneiro, Emanuel; Chirre, Andrés; Helfgott, Harald Andrés; Mejía-Cordero, Julián
1
2022
Remarks on continued fractions with finitely many digits. Zbl 1504.11014
Schweiger, Fritz
1
2022
Modularity of special cycles on unitary Shimura varieties over CM-fields. Zbl 1519.11034
Maeda, Yota
1
2022
On smooth Weyl sums over biquadrates and Waring’s problem. Zbl 1504.11103
Brüdern, Jörg; Wooley, Trevor D.
1
2022
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law. Zbl 1509.11082
Sourmelidis, Athanasios; Steuding, Jörn; Suriajaya, Ade Irma
1
2022
A Bombieri-Vinogradov-type theorem with prime power moduli. Zbl 1539.11100
Baier, Stephan; Pujahari, Sudhir
1
2022
On the Diophantine equation \(x^4+y^4=c\). Zbl 1503.11069
Bremner, Andrew; Nguyen Xuan Tho
1
2022
An improved spectral large sieve inequality for \(\mathrm{SL}_3(\mathbb{Z})\). Zbl 1506.11061
Young, Matthew P.
1
2022
Wandering points for the Mahler measure. Zbl 1506.11138
Fili, Paul; Pottmeyer, Lukas; Zhang, Mingming
1
2022
Dimension formulas for modular form spaces with character for Fricke groups. Zbl 1519.11023
Zhang, Yichao; Zhou, Yang
1
2022
The Hausdorff and packing measure of some digital expansions. Zbl 1514.11012
Ingebretson, Daniel
1
2022
A classification of \(\mathbb{Q}\)-valued linear functionals on \(\overline{\mathbb{Q}}^{\times}\) modulo units. Zbl 1529.11108
Samuels, Charles L.
1
2022
Extending a problem of Pillai to Gaussian lines. Zbl 1508.11104
Magness, Elsa; Nugent, Brian; Robertson, Leanne
1
2022
Hyperbolicity of the moduli of certain Fano threefolds. Zbl 1514.14044
Licht, Philipp
1
2022
Trielliptic modular curves \(X_1(N)\). Zbl 1515.11059
Jeon, Daeyeol
1
2022
Cyclotomic factors of necklace polynomials. Zbl 1505.11047
Hyde, Trevor
1
2022
Sieving intervals and Siegel zeros. Zbl 1504.11089
Granville, Andrew
1
2022
On a problem of Romanoff type. Zbl 1519.11053
Ding, Yuchen
1
2022
A computation of prismatic Dieudonné module. Zbl 1497.14086
Mondal, Shubhodip
1
2022
A note on the pair correlation of Farey fractions. Zbl 1508.11075
Boca, Florin P.; Siskaki, Maria
1
2022
Asymptotic behavior of the Hurwitz-Lerch multiple zeta functions at non-positive integer points. Zbl 1507.11078
Murahara, Hideki; Onozuka, Tomokazu
1
2022
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices. Zbl 1506.11099
Kim, Seungki; Skenderi, Mishel
1
2022
On polynomials with roots modulo almost all primes. Zbl 1521.11067
Elsholtz, Christian; Klahn, Benjamin; Technau, Marc
1
2022
The monogeneity of radical extensions. Zbl 1469.11413
Smith, Hanson
18
2021
Asymptotics for the Dirichlet coefficients of symmetric power \(L\)-functions. Zbl 1477.11079
Luo, Shu; Lao, Huixue; Zou, Aiyue
12
2021
Some new infinite families of monogenic polynomials with non-squarefree discriminant. Zbl 1465.11204
Jones, Lenny
12
2021
Extreme and periodic \(L_2\) discrepancy of plane point sets. Zbl 1483.11158
Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich
8
2021
Efficient congruencing in ellipsephic sets: the quadratic case. Zbl 1483.11222
Biggs, Kirsti D.
8
2021
On the invariant \(\mathsf{E}(G)\) for groups of odd order. Zbl 1493.11055
Gao, Weidong; Li, Yuanlin; Qu, Yongke
7
2021
On constant terms of Eisenstein series. Zbl 1483.11088
Dasgupta, Samit; Kakde, Mahesh
7
2021
On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. Zbl 1466.11079
Chattopadhyay, Jaitra; Muthukrishnan, Subramani
7
2021
Supercongruences and binary quadratic forms. Zbl 1472.11026
Sun, Zhi-Hong
6
2021
On sums of sums involving squarefull numbers. Zbl 1497.11239
Kiuchi, Isao
6
2021
Binary polynomial power sums vanishing at roots of unity. Zbl 1475.11042
Bilu, Yuri; Luca, Florian
5
2021
Fourier coefficients of level 1 Hecke eigenforms. Zbl 1483.11077
Hanada, Mitsuki; Madhukara, Rachana
5
2021
Moments and distribution of values of \(L\)-functions over function fields inside the critical strip. Zbl 1483.11179
Lumley, Allysa
5
2021
Metric results on summatory arithmetic functions on Beatty sets. Zbl 1465.11077
Technau, Marc; Zafeiropoulos, Agamemnon
5
2021
...and 1416 more Documents
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Cited by 11,256 Authors

206 Shparlinski, Igor E.
152 Luca, Florian
91 Dubickas, Artūras
90 Bugeaud, Yann
81 Laurinčikas, Antanas
74 Sun, Zhi-Wei
67 Zaharescu, Alexandru
62 Togbé, Alain
58 Chen, Yonggao
58 Pillichshammer, Friedrich
58 Zhai, Wenguang
57 Sárközy, András
55 Hajdu, Lajos
55 Zhang, Wenpeng
50 Mauduit, Christian
50 Zannier, Umberto M.
49 Guo, Victor J. W.
49 Pollack, Paul
48 Tenenbaum, Gérald
45 Lu, Guangshi
45 Murty, Maruti Ram
44 Aistleitner, Christoph
44 Moree, Pieter
43 Geroldinger, Alfred
43 Tichy, Robert Franz
43 Winterhof, Arne
42 Liu, Huaning
42 Miller, Steven J.
42 Pan, Hao
41 Shkredov, Il’ya Dmitrievich
40 Larchner, Gerhard
40 Matsumoto, Kohji
40 Tao, Terence
40 Wooley, Trevor D.
40 Wu, Jie
39 Bennett, Michael A.
39 Louboutin, Stéphane R.
39 Niederreiter, Harald
39 Xia, Ernest X. W.
38 Zhao, Liangyi
37 Dick, Josef
37 Dujella, Andrej
37 Thuswaldner, Jörg Maximilian
37 Williams, Kenneth S.
36 Ziegler, Volker
35 Fouvry, Etienne
35 Ivić, Aleksandar
35 Schmidt, Wolfgang M.
34 Friedlander, John Benjamin
34 Iwaniec, Henryk
34 Le, Maohua
34 Mignotte, Maurice
34 Pintz, Janos
34 Pomerance, Carl Bernard
34 Sun, Zhihong
34 Zudilin, Wadim
33 Berndt, Bruce Carl
33 Erdős, Pál
33 Korolëv, Maksim Aleksandrovich
32 Bergelson, Vitaly
32 Pinner, Christopher G.
32 Ramaré, Olivier
31 Cochrane, Todd
31 Fujita, Yasutsugu
31 Gao, Weidong
31 Hong, Shaofang
31 Ostafe, Alina
31 Perelli, Alberto
30 de la Bretèche, Régis
30 Győry, Kálmán
30 Kaczorowski, Jerzy
30 Shorey, Tarlok Nath
30 Silverman, Joseph Hillel
30 Tsumura, Hirofumi
29 Azizi, Abdelmalek
29 Brüdern, Jörg
29 Granville, Andrew James
29 Roy, Damien
29 Tanigawa, Yoshio
28 Baier, Stephan
28 Banks, William David
28 Cohen, Stephen D.
28 Shallit, Jeffrey Outlaw
27 Bernik, Vasiliĭ Ivanovich
27 Fuchs, Clemens
27 Matomäki, Kaisa
27 Pethő, Attila
27 Siksek, Samir
27 Tijdeman, Robert
27 Yao, Olivia Xiang Mei
27 Yuan, Pingzhi
27 Yue, Qin
26 Blomer, Valentin
26 Gao, Peng
26 Ichimura, Humio
26 Masser, David William
26 Oh, Byeong-Kweon
26 Ono, Ken
26 Sankaranarayanan, Ayyadurai
25 Alkan, Emre
...and 11,156 more Authors
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Cited in 717 Journals

2,045 Journal of Number Theory
637 International Journal of Number Theory
550 The Ramanujan Journal
471 Acta Arithmetica
429 Journal de Théorie des Nombres de Bordeaux
422 Mathematics of Computation
395 Proceedings of the American Mathematical Society
359 Monatshefte für Mathematik
350 Transactions of the American Mathematical Society
320 Finite Fields and their Applications
244 Discrete Mathematics
237 Functiones et Approximatio. Commentarii Mathematici
218 Acta Mathematica Hungarica
203 Mathematische Annalen
199 Archiv der Mathematik
194 Mathematische Zeitschrift
192 Advances in Mathematics
190 Integers
182 Israel Journal of Mathematics
177 Journal of Mathematical Analysis and Applications
177 Research in Number Theory
175 Indagationes Mathematicae. New Series
155 Journal of Algebra
154 Rocky Mountain Journal of Mathematics
151 Mathematical Notes
150 Periodica Mathematica Hungarica
149 Journal of Combinatorial Theory. Series A
147 Compositio Mathematica
146 Bulletin of the Australian Mathematical Society
139 Mathematika
136 Lithuanian Mathematical Journal
136 Annales de l’Institut Fourier
135 Manuscripta Mathematica
129 Inventiones Mathematicae
127 Proceedings of the Japan Academy. Series A
125 Duke Mathematical Journal
111 Theoretical Computer Science
111 Journal of Complexity
106 European Journal of Combinatorics
105 Mathematical Proceedings of the Cambridge Philosophical Society
97 Journal of Pure and Applied Algebra
91 Journal of Mathematical Sciences (New York)
90 Czechoslovak Mathematical Journal
90 Designs, Codes and Cryptography
86 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
84 Acta Mathematica Sinica. English Series
83 Bulletin of the London Mathematical Society
77 Bulletin de la Société Mathématique de France
77 Comptes Rendus. Mathématique. Académie des Sciences, Paris
76 Algebra & Number Theory
76 Science China. Mathematics
74 Mathematica Slovaca
73 Journal für die Reine und Angewandte Mathematik
69 Linear Algebra and its Applications
68 Journal of the London Mathematical Society. Second Series
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68 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
67 Chebyshevskiĭ Sbornik
66 Results in Mathematics
65 Advances in Applied Mathematics
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64 The Electronic Journal of Combinatorics
61 Proceedings of the Steklov Institute of Mathematics
60 Journal of Integer Sequences
60 Annals of Mathematics. Second Series
59 Bulletin of the American Mathematical Society. New Series
57 Journal of Soviet Mathematics
57 Combinatorica
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52 Proceedings of the London Mathematical Society. Third Series
50 Experimental Mathematics
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49 Journal of Symbolic Computation
49 Geometric and Functional Analysis. GAFA
48 Discrete Applied Mathematics
48 Colloquium Mathematicum
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47 Cryptography and Communications
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43 Applicable Algebra in Engineering, Communication and Computing
39 SIAM Journal on Discrete Mathematics
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33 Journal of Computational and Applied Mathematics
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Cited in 62 Fields

15,700 Number theory (11-XX)
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