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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: 5,360 Publications (since 1935)
References Indexed: 801 Publications with 13,722 References.
all top 5

Latest Issues

212, No. 3 (2024)
212, No. 2 (2024)
212, No. 1 (2024)
211, No. 4 (2023)
211, No. 3 (2023)
211, No. 2 (2023)
211, No. 1 (2023)
210 (2023)
209 (2023)
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207, No. 4 (2023)
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199, No. 4 (2021)
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198, No. 1 (2021)
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197, No. 1 (2021)
196, No. 4 (2020)
196, No. 3 (2020)
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195, No. 4 (2020)
195, No. 3 (2020)
195, No. 2 (2020)
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191, No. 4 (2019)
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189, No. 1 (2019)
188, No. 4 (2019)
188, No. 3 (2019)
188, No. 2 (2019)
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)
...and 621 more Volumes
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Authors

67 Schinzel, Andrzej
55 Erdős, Pál
42 Luca, Florian
37 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
23 Schmidt, Wolfgang M.
23 Sun, Zhi-Wei
22 Bugeaud, Yann
22 Pintz, Janos
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 Knapowski, Stanislaw
19 Le, Maohua
19 Ruzsa, Imre Z.
18 Car, Mireille
18 Evertse, Jan-Hendrik
18 Kaczorowski, Jerzy
18 Mauduit, Christian
18 Pomerance, Carl Bernard
18 Zannier, Umberto M.
17 Balasubramanian, Ramachandran
17 Chowla, Sarvadaman
17 Sankaranarayanan, Ayyadurai
16 Pan, Hao
16 Staś, Włodzimierz
15 Elliott, Peter D. T. A.
15 Girstmair, Kurt
15 Heath-Brown, Roger
15 Turán, Pál
15 Wooley, Trevor D.
15 Wu, Jie
15 Zaharescu, Alexandru
15 Zhang, Wenpeng
14 Davenport, Harold
14 Fogels, Èrnest K.
14 Huxley, Martin N.
14 Mordell, Louis Joel
14 Sun, Zhihong
13 Dubickas, Artūras
13 Mahler, Kurt
13 Narkiewicz, Władysław
13 Schlage-Puchta, Jan-Christoph
13 Walsh, Peter Gareth
13 Yuan, Pingzhi
12 Bennett, Michael A.
12 Byeon, Dongho
12 Delange, Hubert
12 Kátai, Imre
12 Louboutin, Stéphane R.
12 Mendès France, Michel
12 Perelli, Alberto
12 Ramaré, Olivier
12 Tenenbaum, Gérald
11 Berndt, Bruce Carl
11 Bremner, Andrew
11 Cohen, Stephen D.
11 Dujella, Andrej
11 Gao, Weidong
11 Hooley, Christopher
11 Lemmermeyer, Franz Josef
11 Liu, Hongquan
11 Liu, Huaning
11 Matsumoto, Kohji
11 Mignotte, Maurice
11 Mullen, Gary L.
11 Schweiger, Fritz
10 Bombieri, Enrico
10 Brüdern, Jörg
10 Cohn, John H. E.
10 Faure, Henri
10 Fouvry, Etienne
10 Harman, Glyn
10 Ivić, Aleksandar
10 Kaplan, Pierre
10 Lagarias, Jeffrey C.
10 Lau, Yuk-Kam
10 Laurinčikas, Antanas
10 Lehmer, Derrick Henry
10 Li, Hongze
10 Szemerédi, Endre
10 Tichy, Robert Franz
10 Väänänen, Keijo O.
10 Van der Corput, Johannes Gualtherus
10 Vaughan, Robert C.
10 Waldschmidt, Michel
10 Walfisz, Arnold
...and 3,304 more Authors
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Fields

4,922 Number theory (11-XX)
349 Algebraic geometry (14-XX)
196 Field theory and polynomials (12-XX)
144 Combinatorics (05-XX)
107 Dynamical systems and ergodic theory (37-XX)
95 Group theory and generalizations (20-XX)
81 Special functions (33-XX)
78 Functions of a complex variable (30-XX)
64 Commutative algebra (13-XX)
48 History and biography (01-XX)
44 Measure and integration (28-XX)
40 \(K\)-theory (19-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Computer science (68-XX)
30 Real functions (26-XX)
26 Convex and discrete geometry (52-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
25 Probability theory and stochastic processes (60-XX)
25 Numerical analysis (65-XX)
21 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)
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)
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

4,168 Publications have been cited 28,632 times in 17,635 Documents Cited by Year
On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056
Szemerédi, Endre
329
1975
Discrépance de suites associées à un système de numération (en dimension \(s\)). Zbl 0442.10035
Faure, Henri
158
1982
Irregularities of distribution. VII. Zbl 0244.10035
Schmidt, Wolfgang M.
133
1972
Echanges d’intervalles et transformations induites. Zbl 0414.28018
Rauzy, Gerard
132
1979
Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003
Gelfond, A. O.
126
1968
On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001
Dobrowolski, E.
120
1979
On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048
Mauduit, Christian; Sárközy, András
112
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
95
1983
Universal graphs and universal functions. Zbl 0139.17303
Rado, R.
95
1964
A new form of the error term in the linear sieve. Zbl 0444.10038
Iwaniec, Henryk
85
1980
Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02
Siegel, C. L.
81
1935
Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074
Laurent, Michel
79
2008
Solving a linear equation in a set of integers. I. Zbl 1042.11525
Ruzsa, Imre Z.
78
1993
On continued fractions and diophantine approximation in power series fields. Zbl 0987.11041
Schmidt, Wolfgang M.
78
2000
Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085
Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio
77
2001
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
73
1975
On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902
Kesten, H.
73
1966
A mean value estimate for real character sums. Zbl 0828.11040
Heath-Brown, D. R.
71
1995
On the number of sums and products. Zbl 0887.11012
Elekes, György
68
1997
The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065
Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk
67
2001
On certain hypotheses concerning prime numbers. (Sur certaines hypothèses concernant les nombres premiers.) Zbl 0082.25802
Schinzel, Andrzej; Sierpiński, Wacław
66
1958
Rosser’s sieve. Zbl 0435.10029
Iwaniec, Henryk
64
1980
Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058
Stoll, Michael
63
2001
The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049
Bilu, Yuri F.; Tichy, Robert F.
62
2000
Frieze patterns. Zbl 0217.18101
Coxeter, H. S. M.
61
1971
On the order of magnitude of the difference between consecutive prime numbers. JFM 62.1147.01
Cramér, H.
58
1936
On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004
Schinzel, Andrzej
55
1973
On finite pseudorandom binary sequences. VII. Zbl 1126.11330
Cassaigne, Julien; Mauduit, Christian; Sárközy, András
55
2002
On the addition of residue classes mod \(p\). Zbl 0156.04801
Erdős, Pál; Heilbronn, H.
55
1964
Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014
Conway, J. H.; Jones, A. J.
53
1976
On approximation of real numbers by real algebraic numbers. Zbl 0937.11027
Beresnevich, V.
52
1999
An effective lower bound for the height of algebraic numbers. Zbl 0838.11065
Voutier, Paul M.
51
1996
The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045
Heath-Brown, D. R.
50
1992
Small eigenvalues of Laplacian for \(\Gamma_ 0(N)\). Zbl 0702.11034
Iwaniec, Henryk
49
1990
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
49
1980
An extension of the Apéry number supercongruence. Zbl 1170.11008
Kilbourn, Timothy
49
2006
Period polynomials and Gauss sums for finite fields. Zbl 0393.12028
Myerson, Gerald
48
1981
On the functional independence of the Dirichlet L-function. Zbl 0308.10025
Voronin, S. M.
48
1975
Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020
Philipp, Walter
47
1975
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
47
2007
The distribution of polynomials over finite fields. Zbl 0209.36001
Cohen, Stephen D.
46
1970
Euler constants for arithmetical progressions. Zbl 0302.12003
Lehmer, D. H.
45
1975
Approximation to real numbers by algebraic integers. Zbl 0186.08603
Davenport, Harold; Schmidt, Wolfgang M.
45
1969
Parametric geometry of numbers and applications. Zbl 1236.11060
Schmidt, Wolfgang M.; Summerer, Leonhard
44
2009
A lower bound for linear forms in logarithms. Zbl 0357.10017
Waldschmidt, Michel
43
1980
Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014
Hong, Shaofang
43
2002
Explicit evaluations of some Weil sums. Zbl 0924.11098
Coulter, Robert S.
43
1998
Shifted primes without large prime factors. Zbl 0994.11033
Baker, R. C.; Harman, G.
42
1998
On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038
Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas
42
2004
A new class of continued fraction expansions. Zbl 0721.11029
Kraaikamp, Cor
41
1991
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
41
1980
On the theorem of Gauss-Kusmin-Levy and a Frobenius-type theorem for function spaces. Zbl 0283.10032
Wirsing, Eduard
40
1974
An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049
Bernik, V. I.
40
1983
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
39
1996
Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033
Hata, Masayoshi
39
1993
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026
Stroeker, R. J.; Tzanakis, N.
39
1994
Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055
Schmidt, Wolfgang M.
39
1995
Further evaluations of Weil sums. Zbl 0917.11061
Coulter, Robert S.
39
1998
Traces of high powers of the Frobenius class in the hyperelliptic ensemble. Zbl 1260.11057
Rudnick, Zeév
39
2010
Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062
Delange, Hubert
39
1972
On a diophantine inequality involving prime numbers. Zbl 0762.11033
Tolev, D. I.
38
1992
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
38
1994
Primes in arithmetic progressions. Zbl 0517.10045
Fouvry, E.; Iwaniec, H.
38
1983
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
38
1964
Sur des formules de Atle Selberg. Zbl 0217.31902
Delange, Hubert
38
1971
Ovali ed altre curve nei piani di Galois di caratteristica due. Zbl 0219.50016
Segre, Beniamino; Bartocci, U.
38
1971
Power sums of Hecke eigenvalues and application. Zbl 1232.11054
Wu, Jie
37
2009
On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042
Bernik, V. I.
37
1989
Sums of sets of group elements. Zbl 0318.10035
Olson, John E.
37
1975
Additive properties of certain sets. Zbl 1014.11009
Dombi, Gergely
37
2002
Initial powers of Sturmian sequences. Zbl 1117.37005
Berthé, Valérie; Holton, Charles; Zamboni, Luca Q.
37
2006
On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two. Zbl 0094.15902
Segre, Beniamino
37
1959
Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903
Siegel, Carl Ludwig
37
1935
On the theorem of Jarnik and Besicovitch. Zbl 0468.10031
Kaufman, R.
36
1981
Ergodic properties of generalized Lüroth series. Zbl 0848.11039
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor
36
1996
On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008
Mauduit, Christian; Sárközy, András
36
1997
Hypergeometric series and Riemann zeta-function. Zbl 0881.11066
Chu, Wenchang
36
1997
On Linnik’s approximation to Goldbach’s problem. I. Zbl 1031.11060
Pintz, J.; Ruzsa, I. Z.
36
2003
On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020
Knopp, Marvin; Mason, Geoffrey
36
2003
Nineteen quaternary quadratic forms. Zbl 1131.11025
Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S.
36
2007
The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902
Hayes, D. R.
36
1966
Fibonacci numbers and Fermat’s last theorem. Zbl 0725.11009
Sun, Zhihong; Sun, Zhiwei
35
1992
Large values of Dirichlet polynomials. III. Zbl 0268.10026
Huxley, M. N.
35
1975
Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010
Knebusch, Manfred
35
1973
Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009
Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch
35
1996
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
The divisor function \(d_3(n)\) in arithmetic progressions. Zbl 0549.10034
Heath-Brown, D. R.
35
1986
On higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031
Zhai, Wenguang
35
2004
On a linear diophantine problem of Frobenius. Zbl 0246.10010
Erdős, Paul; Graham, Ronald L.
34
1972
The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020
Conrey, J. B.; Duke, W.; Farmer, D. W.
34
1997
Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002
Morton, Patrick
34
1998
Carmichael’s lambda function. Zbl 0734.11047
Erdős, Paul; Pomerance, Carl; Schmutz, Eric
33
1991
Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052
Besineau, Jean
33
1972
On c-semigroups. Zbl 0303.13014
Skula, Ladislav
33
1976
A general framework for subexponential discrete logarithm algorithms. Zbl 1028.11079
Enge, Andreas; Gaudry, Pierrick
33
2002
On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions. Zbl 1248.11067
Xylouris, Triantafyllos
33
2011
On Epstein’s zeta function. Zbl 0128.27004
Bateman, P. T.; Grosswald, E.
33
1964
On ratio sets of sets of natural numbers. Zbl 0177.07001
Šalát, Tibor
33
1969
Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501
Davenport, Harold; Schmidt, Wolfgang M.
33
1970
A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007
Risley, Rebecca N.; Zamboni, Luca Q.
33
2000
Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Zbl 07732758
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya
2
2023
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
1
2023
Lower bounds for the modified Szpiro ratio. Zbl 07732759
Barrios, Alexander J.
1
2023
Hermite equivalence of polynomials. Zbl 07768658
Bhargava, Manjul; Evertse, Jan-Hendrik; Győry, Kálmán; Remete, László; Swaminathan, Ashvin A.
1
2023
Selberg’s sieve of irregular density. Zbl 07768670
Friedlander, J. B.; Iwaniec, H.
1
2023
On Ihara’s conjectures for Euler-Kronecker constants. Zbl 07771567
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
\(G\)-bundles on the absolute Fargues-Fontaine curve. Zbl 1519.14026
Anschütz, Johannes
1
2023
Ramanujan-Sato series for \(1/\pi\). Zbl 1522.11025
Huber, Tim; Schultz, Daniel; Ye, Dongxi
1
2023
Fermat’s last theorem and modular curves over real quadratic fields. Zbl 1503.11071
Michaud-Jacobs, Philippe
7
2022
A geometric linear Chabauty comparison theorem. Zbl 07496898
Hashimoto, Sachi; Spelier, Pim
4
2022
Low-degree permutation rational functions over finite fields. Zbl 1492.11162
Ding, Zhiguo; Zieve, Michael E.
4
2022
Linear independence criteria for generalized polylogarithms with distinct shifts. Zbl 1515.11068
David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto
4
2022
On products of primes and almost primes in arithmetic progressions. Zbl 1503.11125
Zhao, Lilu
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
Primes with one excluded digit. Zbl 1496.11010
Karwatowski, Fabian
2
2022
Weighted sums of generalized polygonal numbers with coefficients \(1\) or \(2\). Zbl 1491.11037
Kim, Daejun
2
2022
On extreme values for the Sudler product of quadratic irrationals. Zbl 1501.11074
Hauke, Manuel
2
2022
The asymptotics of nilpotent Galois groups. Zbl 1509.11109
Klüners, Jürgen
2
2022
Point sets with optimal order of extreme and periodic discrepancy. Zbl 1503.11107
Kritzinger, Ralph; Pillichshammer, Friedrich
2
2022
Coincidence of \(L\)-functions. Zbl 1509.11107
Katayama, Yuta; Kida, Masanari
2
2022
Algebraic independence of certain entire functions of two variables generated by linear recurrences. Zbl 1496.11098
Ide, Haruki
2
2022
Uniformity norms, their weaker versions, and applications. Zbl 07547459
Dodos, Pandelis; Kanellopoulos, Vassilis
2
2022
Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. Zbl 1515.11113
Kulkarni, Kaivalya R.; Levin, Aaron
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
The index of degeneracy of a CM abelian variety can be arbitrarily large. Zbl 1502.11067
Kida, Masanari; Yanai, Hiromichi
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
Subconvexity for twisted \(\mathrm{GL}_3\) \(L\)-functions. Zbl 1495.11064
Kıral, Eren Mehmet; Kuan, Chan Ieong; Lesesvre, Didier
1
2022
Hegyvári’s theorem on complete sequences. II. Zbl 1515.11011
Ma, Wu-Xia; Chen, Yong-Gao
1
2022
On the algebraicity of Thue-Morse and period-doubling continued fractions. Zbl 1498.11083
Hu, Yining; Han, Guo-Niu
1
2022
Modularity of special cycles on unitary Shimura varieties over CM-fields. Zbl 1519.11034
Maeda, Yota
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
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
Cyclotomic factors of necklace polynomials. Zbl 1505.11047
Hyde, Trevor
1
2022
On the leading constant in the Manin-type conjecture for Campana points. Zbl 1517.11072
Shute, Alec
1
2022
Sieving intervals and Siegel zeros. Zbl 1504.11089
Granville, Andrew
1
2022
The density of elliptic Dedekind sums. Zbl 1517.11036
Berkopec, Nicolas; Branch, Jacob; Heikkinen, Rachel; Nunn, Caroline; Wong, Tian An
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
Asymptotic behavior of the Hurwitz-Lerch multiple zeta functions at non-positive integer points. Zbl 1507.11078
Murahara, Hideki; Onozuka, Tomokazu
1
2022
Statistics for \(p\)-ranks of Artin-Schreier covers. Zbl 1514.11039
Ray, Anwesh
1
2022
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices. Zbl 1506.11099
Kim, Seungki; Skenderi, Mishel
1
2022
Bilinear sums of Gauss sums. Zbl 1496.11108
Shparlinski, Igor E.
1
2022
Independent relative units of low height. Zbl 1494.11057
Akhtari, Shabnam; Vaaler, Jeffrey D.
1
2022
On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. Zbl 1492.11115
Karpenkov, Oleg
1
2022
Coprimality of Fourier coefficients of eigenforms. Zbl 1511.11042
Ganguly, Satadal; Kumar, Arvind; Kumari, Moni
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
Hyperbolicity of the moduli of certain Fano threefolds. Zbl 1514.14044
Licht, Philipp
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
Infinitely many cubic points for \(X_0^+(N)\) over \(\mathbb{Q}\). Zbl 1515.11057
Bars, Francesc; Dalal, Tarun
1
2022
The monogeneity of radical extensions. Zbl 1469.11413
Smith, Hanson
13
2021
Some new infinite families of monogenic polynomials with non-squarefree discriminant. Zbl 1465.11204
Jones, Lenny
11
2021
Asymptotics for the Dirichlet coefficients of symmetric power \(L\)-functions. Zbl 1477.11079
Luo, Shu; Lao, Huixue; Zou, Aiyue
8
2021
Efficient congruencing in ellipsephic sets: the quadratic case. Zbl 1483.11222
Biggs, Kirsti D.
7
2021
On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. Zbl 1466.11079
Chattopadhyay, Jaitra; Muthukrishnan, Subramani
6
2021
Extreme and periodic \(L_2\) discrepancy of plane point sets. Zbl 1483.11158
Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich
6
2021
On the invariant \(\mathsf{E}(G)\) for groups of odd order. Zbl 1493.11055
Gao, Weidong; Li, Yuanlin; Qu, Yongke
6
2021
Fourier coefficients of level 1 Hecke eigenforms. Zbl 1483.11077
Hanada, Mitsuki; Madhukara, Rachana
5
2021
Weierstrass semigroups at every point of the Suzuki curve. Zbl 1460.11089
Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni
4
2021
Zeros of certain weakly holomorphic modular forms for the Fricke group \(\varGamma_0^+(3)\). Zbl 1465.11115
Hanamoto, Seiichi; Kuga, Seiji
4
2021
Metric results on summatory arithmetic functions on Beatty sets. Zbl 1465.11077
Technau, Marc; Zafeiropoulos, Agamemnon
4
2021
Quadratic fields with a class group of large 3-rank. Zbl 1473.11205
Levin, Aaron; Yan, Shengkuan; Wiljanen, Luke
4
2021
Profinite commensurability of \(S\)-arithmetic groups. Zbl 1477.20091
Kammeyer, Holger
4
2021
Periodic continued fractions over \(S\)-integers in number fields and Skolem’s \(p\)-adic method. Zbl 1467.11064
Brock, Bradley W.; Elkies, Noam D.; Jordan, Bruce W.
4
2021
Binary polynomial power sums vanishing at roots of unity. Zbl 1475.11042
Bilu, Yuri; Luca, Florian
4
2021
Supercongruences and binary quadratic forms. Zbl 1472.11026
Sun, Zhi-Hong
4
2021
On universal norms for \(p\)-adic representations in higher-rank Iwasawa theory. Zbl 1483.11106
Bullach, Dominik; Daoud, Alexandre
4
2021
On constant terms of Eisenstein series. Zbl 1483.11088
Dasgupta, Samit; Kakde, Mahesh
4
2021
Moments and distribution of values of \(L\)-functions over function fields inside the critical strip. Zbl 1483.11179
Lumley, Allysa
4
2021
Heights and isogenies of Drinfeld modules. Zbl 1468.11131
Breuer, Florian; Pazuki, Fabien; Razafinjatovo, Mahefason Heriniaina
3
2021
A large sieve inequality for power moduli. Zbl 1471.11248
Munsch, Marc
3
2021
Counting finite index subrings of \(\mathbb{Z}^n\). Zbl 1505.11127
Atanasov, Stanislav; Kaplan, Nathan; Krakoff, Benjamin; Menzel, Julia H.
3
2021
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). Zbl 1473.11200
Ahmed, Suman; Lim, Meng Fai
3
2021
On a theorem of Davenport and Schmidt. Zbl 1468.11158
Andersen, Nickolas; Duke, William
3
2021
Rational points and ramified covers of products of two elliptic curves. Zbl 1468.14054
Javanpeykar, Ariyan
3
2021
Congruences for generalized Fishburn numbers at roots of unity. Zbl 1473.11191
Goswami, Ankush
3
2021
On sums of sums involving squarefull numbers. Zbl 1497.11239
Kiuchi, Isao
3
2021
On the Petersson inner products of Fourier-Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms. Zbl 1473.11095
Kumar, Balesh; Paul, Biplab
2
2021
Concerning a weak version of the inverse Galois problem. (À propos d’une version faible du problème inverse de Galois.) Zbl 1464.12006
Deschamps, Bruno; Legrand, François
2
2021
Skolem’s conjecture confirmed for a family of exponential equations. II. Zbl 1465.11085
Bérczes, A.; Hajdu, L.; Tijdeman, R.
2
2021
Gaussian behavior of quadratic irrationals. Zbl 1467.11073
Cesaratto, Eda; Vallée, Brigitte
2
2021
Further bounds in the polynomial Szemerédi theorem over finite fields. Zbl 1459.11029
Kuca, Borys
2
2021
Intersection of class fields. Zbl 1509.11052
Kühne, Lars
2
2021
Primitive divisors of elliptic divisibility sequences for elliptic curves with \(j=1728\). Zbl 1476.11090
Verzobio, Matteo
2
2021
On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric \(_1F_0\) series. Zbl 1478.11006
Zhang, Yong; Pan, Hao
2
2021
A note on sum-product estimates over finite valuation rings. Zbl 1471.11027
Pham, Duc Hiep
2
2021
The equation \((x-d)^5+x^5+(x+d)^5=y^n\). Zbl 1475.11049
Bennett, Michael A.; Koutsianas, Angelos
2
2021
On the genesis of BBP formulas. Zbl 1476.11103
Barsky, Daniel; Muñoz, Vicente; Pérez-Marco, Ricardo
2
2021
Norm form equations with solutions taking values in a multi-recurrence. Zbl 1476.11068
Fuchs, Clemens; Heintze, Sebastian
2
2021
Explicit small heights in infinite non-abelian extensions. Zbl 1482.11081
Frey, Linda
2
2021
On the class number of a real abelian field of prime conductor. Zbl 1480.11144
Ichimura, Humio
2
2021
Linear Diophantine equations in Piatetski-Shapiro sequences. Zbl 1490.11079
Matsusaka, Toshiki; Saito, Kota
2
2021
Remarks on the Selberg-Delange method. Zbl 1483.11210
De La Bretèche, Régis; Tenenbaum, Gérald
2
2021
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Cited by 10,801 Authors

197 Shparlinski, Igor E.
147 Luca, Florian
88 Bugeaud, Yann
87 Dubickas, Artūras
80 Laurinčikas, Antanas
74 Sun, Zhi-Wei
65 Zaharescu, Alexandru
61 Togbé, Alain
58 Chen, Yonggao
58 Pillichshammer, Friedrich
57 Sárközy, András
55 Hajdu, Lajos
55 Zhai, Wenguang
55 Zhang, Wenpeng
50 Mauduit, Christian
49 Guo, Victor J. W.
49 Zannier, Umberto M.
47 Pollack, Paul
45 Winterhof, Arne
44 Aistleitner, Christoph
44 Lu, Guangshi
44 Tenenbaum, Gérald
43 Geroldinger, Alfred
42 Murty, Maruti Ram
42 Pan, Hao
42 Tichy, Robert Franz
41 Liu, Huaning
41 Miller, Steven J.
41 Moree, Pieter
40 Larchner, Gerhard
40 Matsumoto, Kohji
39 Niederreiter, Harald
39 Shkredov, Il’ya Dmitrievich
38 Bennett, Michael A.
38 Louboutin, Stéphane R.
38 Wu, Jie
38 Xia, Ernest X. W.
37 Dick, Josef
37 Dujella, Andrej
37 Thuswaldner, Jörg Maximilian
37 Williams, Kenneth S.
37 Wooley, Trevor D.
35 Berndt, Bruce Carl
35 Ivić, Aleksandar
35 Tao, Terence
34 Iwaniec, Henryk
34 Sun, Zhihong
34 Zhao, Liangyi
34 Zudilin, Wadim
33 Erdős, Pál
33 Schmidt, Wolfgang M.
33 Ziegler, Volker
32 Bergelson, Vitaly
32 Fouvry, Etienne
32 Friedlander, John Benjamin
32 Korolëv, Maksim Aleksandrovich
32 Le, Maohua
32 Mignotte, Maurice
32 Pintz, Janos
32 Pomerance, Carl Bernard
31 Hong, Shaofang
31 Ramaré, Olivier
30 Cochrane, Todd
30 Gao, Weidong
30 Ostafe, Alina
30 Perelli, Alberto
30 Pinner, Christopher G.
30 Shorey, Tarlok Nath
30 Tsumura, Hirofumi
29 Tanigawa, Yoshio
28 Cohen, Stephen D.
28 Fujita, Yasutsugu
28 Granville, Andrew James
28 Győry, Kálmán
28 Kaczorowski, Jerzy
28 Roy, Damien
28 Silverman, Joseph Hillel
27 Azizi, Abdelmalek
27 Banks, William David
27 Bernik, Vasiliĭ Ivanovich
27 Brüdern, Jörg
27 Fuchs, Clemens
27 Pethő, Attila
27 Siksek, Samir
27 Tijdeman, Robert
27 Yuan, Pingzhi
27 Yue, Qin
26 Baier, Stephan
26 de la Bretèche, Régis
26 Oh, Byeong-Kweon
26 Shallit, Jeffrey Outlaw
26 Yao, Olivia Xiang Mei
25 Alkan, Emre
25 Blomer, Valentin
25 Fomenko, Oleg Mstislavovich
25 Ford, Kevin B.
25 Li, Jinjiang
25 Pintér, Ákos
25 Sha, Min
24 Allouche, Jean-Paul Simon
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Cited in 693 Journals

2,020 Journal of Number Theory
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407 Acta Arithmetica
386 Proceedings of the American Mathematical Society
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223 Functiones et Approximatio. Commentarii Mathematici
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198 Archiv der Mathematik
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87 Designs, Codes and Cryptography
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67 Bulletin of the London Mathematical Society
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