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/allhttps://bibliotekanauki.pl/journals/1085/issueshttp://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 15,623 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) 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) 208, No. 4 (2023) 208, No. 3 (2023) 208, No. 2 (2023) 208, No. 1 (2023) 207, No. 4 (2023) 207, No. 3 (2023) 207, No. 2 (2023) 207, No. 1 (2023) 206, No. 4 (2022) 206, No. 3 (2022) 206, No. 2 (2022) 206, No. 1 (2022) 205, No. 4 (2022) 205, No. 3 (2022) 205, No. 2 (2022) 205, No. 1 (2022) 204, No. 4 (2022) 204, No. 3 (2022) 204, No. 2 (2022) 204, No. 1 (2022) 203, No. 4 (2022) 203, No. 3 (2022) 203, No. 2 (2022) 203, No. 1 (2022) 202, No. 4 (2022) 202, No. 3 (2022) 202, No. 2 (2022) 202, No. 1 (2022) 201, No. 4 (2021) 201, No. 3 (2021) 201, No. 2 (2021) 201, No. 1 (2021) 200, No. 4 (2021) 200, No. 3 (2021) 200, No. 2 (2021) 200, No. 1 (2021) 199, No. 4 (2021) 199, No. 3 (2021) 199, No. 2 (2021) 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) 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 all top 5 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 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 3,361 more Authors all top 5 Fields 5,011 Number theory (11-XX) 351 Algebraic geometry (14-XX) 197 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 Harmonic analysis on Euclidean spaces (42-XX) 26 Convex and discrete geometry (52-XX) 26 Probability theory and stochastic processes (60-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 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,242 Publications have been cited 30,276 times in 18,602 Documents Cited by ▼ Year ▼ On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056 Szemerédi, Endre 356 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 137 1979 Irregularities of distribution. VII. Zbl 0244.10035 Schmidt, Wolfgang M. 135 1972 Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003 Gelfond, A. O. 134 1968 On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001 Dobrowolski, E. 126 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 106 1983 Universal graphs and universal functions. Zbl 0139.17303 Rado, R. 103 1964 A new form of the error term in the linear sieve. Zbl 0444.10038 Iwaniec, Henryk 90 1980 Solving a linear equation in a set of integers. I. Zbl 1042.11525 Ruzsa, Imre Z. 87 1993 Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074 Laurent, Michel 87 2008 Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02 Siegel, C. L. 86 1935 A mean value estimate for real character sums. Zbl 0828.11040 Heath-Brown, D. R. 83 1995 The exceptional set in Goldbach’s problem. Zbl 0301.10043 Montgomery, H. L.; Vaughan, R. C. 82 1975 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 79 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 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058 Stoll, Michael 71 2001 Frieze patterns. Zbl 0217.18101 Coxeter, H. S. M. 70 1971 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 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 Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014 Conway, J. H.; Jones, A. J. 59 1976 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 An effective lower bound for the height of algebraic numbers. Zbl 0838.11065 Voutier, Paul M. 56 1996 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 On approximation of real numbers by real algebraic numbers. Zbl 0937.11027 Beresnevich, V. 55 1999 The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045 Heath-Brown, D. R. 52 1992 MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010 Andrews, George E.; Paule, Peter 51 2007 An extension of the Apéry number supercongruence. Zbl 1170.11008 Kilbourn, Timothy 51 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 Period polynomials and Gauss sums for finite fields. Zbl 0393.12028 Myerson, Gerald 49 1981 Approximation to real numbers by algebraic integers. Zbl 0186.08603 Davenport, Harold; Schmidt, Wolfgang M. 48 1969 Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020 Philipp, Walter 47 1975 Explicit evaluations of some Weil sums. Zbl 0924.11098 Coulter, Robert S. 46 1998 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 46 2009 Shifted primes without large prime factors. Zbl 0994.11033 Baker, R. C.; Harman, G. 45 1998 On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038 Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas 45 2004 Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014 Hong, Shaofang 44 2002 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026 Stroeker, R. J.; Tzanakis, N. 44 1994 A lower bound for linear forms in logarithms. Zbl 0357.10017 Waldschmidt, Michel 44 1980 Further evaluations of Weil sums. Zbl 0917.11061 Coulter, Robert S. 43 1998 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 43 2009 A new class of continued fraction expansions. Zbl 0721.11029 Kraaikamp, Cor 43 1991 An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049 Bernik, V. I. 43 1983 On irregularities of distribution. IV. Zbl 0425.10057 Roth, Klaus F. 41 1980 Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033 Hata, Masayoshi 41 1993 Kuroda’s class number formula. Zbl 0807.11052 Lemmermeyer, Franz 41 1994 Traces of high powers of the Frobenius class in the hyperelliptic ensemble. Zbl 1260.11057 Rudnick, Zeév 41 2010 Additive properties of certain sets. Zbl 1014.11009 Dombi, Gergely 41 2002 On a diophantine inequality involving prime numbers. Zbl 0762.11033 Tolev, D. I. 40 1992 Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062 Delange, Hubert 40 1972 Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055 Schmidt, Wolfgang M. 40 1995 On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042 Bernik, V. I. 40 1989 On a permutation group related to \(\zeta (2)\). Zbl 0864.11037 Rhin, Georges; Viola, Carlo 39 1996 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 higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031 Zhai, Wenguang 39 2004 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 Ergodic properties of generalized Lüroth series. Zbl 0848.11039 Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor 38 1996 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 Sums of sets of group elements. Zbl 0318.10035 Olson, John E. 38 1975 Remark concerning integer sequences. Zbl 0125.29601 Roth, Klaus F. 38 1964 On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions. Zbl 1248.11067 Xylouris, Triantafyllos 38 2011 Nineteen quaternary quadratic forms. Zbl 1131.11025 Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 38 2007 Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903 Siegel, Carl Ludwig 38 1935 The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020 Conrey, J. B.; Duke, W.; Farmer, D. W. 37 1997 Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009 Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch 37 1996 Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002 Morton, Patrick 37 1998 On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008 Mauduit, Christian; Sárközy, András 37 1997 Hypergeometric series and Riemann zeta-function. Zbl 0881.11066 Chu, Wenchang 37 1997 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 The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902 Hayes, D. R. 37 1966 Initial powers of Sturmian sequences. Zbl 1117.37005 Berthé, Valérie; Holton, Charles; Zamboni, Luca Q. 37 2006 The divisor function \(d_3(n)\) in arithmetic progressions. Zbl 0549.10034 Heath-Brown, D. R. 37 1986 Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501 Davenport, Harold; Schmidt, Wolfgang M. 37 1970 Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010 Knebusch, Manfred 36 1973 Carmichael’s lambda function. Zbl 0734.11047 Erdős, Paul; Pomerance, Carl; Schmutz, Eric 36 1991 Computing integral points on elliptic curves. Zbl 0816.11019 Gebel, J.; Pethö, A.; Zimmer, H. G. 35 1994 Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052 Besineau, Jean 35 1972 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 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024 Bugeaud, Yann; Györy, Kálmán 34 1996 On a linear diophantine problem of Frobenius. Zbl 0246.10010 Erdős, Paul; Graham, Ronald L. 34 1972 Lower bounds for discriminants of number fields. Zbl 0286.12006 Odlyzko, A. M. 34 1976 Reduction of an arbitrary diophantine equation to one in 13 unknowns. Zbl 0279.10019 Matijasevič, Juriĭ; Robinson, Julia 34 1975 A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007 Risley, Rebecca N.; Zamboni, Luca Q. 33 2000 On a Kurzweil type theorem via ubiquity. Zbl 07856594 Kim, Taehyeong 3 2024 Polynomial moments with a weighted zeta square measure on the critical line. Zbl 1544.11065 Darses, Sébastien; Hillion, Erwan 2 2024 Defining \(\mathbb{Z}\) using unit groups. Zbl 07903814 Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra 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 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 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 Small gaps and small spacings between zeta zeros. Zbl 07771569 Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L. 2 2023 Ramanujan-Sato series for \(1/\pi\). Zbl 1522.11025 Huber, Tim; Schultz, Daniel; Ye, Dongxi 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 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 Covering systems with large moduli associated with reducible shifts of integer polynomials. Zbl 07732761 Banerjee, Pradipto 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 On the Pythagoras number of the simplest cubic fields. Zbl 1536.11179 Tinková, Magdaléna 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 On orders in quadratic number fields with unusual sets of distances. Zbl 1536.11176 Reinhart, Andreas 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 Multiplicative complements. I. Zbl 1522.11094 Kocsis, Anett; Matolcsi, Dávid; Sándor, Csaba; Tőtős, György 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 1545.11041 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 Number of integers represented by families of binary forms. I. Zbl 1536.11071 Fouvry, Étienne; Waldschmidt, Michel 1 2023 Selberg’s sieve of irregular density. Zbl 1540.11118 Friedlander, J. B.; Iwaniec, H. 1 2023 Diophantine equations for Littlewood polynomials. Zbl 1529.11052 Hajdu, Lajos; Tijdeman, Robert; Varga, Nóra 1 2023 The cubic Pell equation \(L\)-function. Zbl 07771575 Goldfeld, Dorian; Hinkle, Gerhardt 1 2023 Diophantine approximation with constraints. Zbl 1523.11125 Champagne, Jérémy; Roy, Damien 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 On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. Zbl 1492.11115 Karpenkov, Oleg 5 2022 A geometric linear Chabauty comparison theorem. Zbl 1535.11092 Hashimoto, Sachi; Spelier, Pim 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 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 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 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 Uniformity norms, their weaker versions, and applications. Zbl 1544.11011 Dodos, Pandelis; Kanellopoulos, Vassilis 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 Infinitely many cubic points for \(X_0^+(N)\) over \(\mathbb{Q}\). Zbl 1515.11057 Bars, Francesc; Dalal, Tarun 2 2022 The asymptotics of nilpotent Galois groups. Zbl 1509.11109 Klüners, Jürgen 2 2022 On polynomials with roots modulo almost all primes. Zbl 1521.11067 Elsholtz, Christian; Klahn, Benjamin; Technau, Marc 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 Independent relative units of low height. Zbl 1494.11057 Akhtari, Shabnam; Vaaler, Jeffrey D. 2 2022 The density of elliptic Dedekind sums. Zbl 1517.11036 Berkopec, Nicolas; Branch, Jacob; Heikkinen, Rachel; Nunn, Caroline; Wong, Tian An 2 2022 On a problem of Romanoff type. Zbl 1519.11053 Ding, Yuchen 2 2022 Statistics for \(p\)-ranks of Artin-Schreier covers. Zbl 1514.11039 Ray, Anwesh 2 2022 Algebraic independence of certain entire functions of two variables generated by linear recurrences. Zbl 1496.11098 Ide, Haruki 2 2022 Subconvexity for twisted \(\mathrm{GL}_3\) \(L\)-functions. Zbl 1495.11064 Kıral, Eren Mehmet; Kuan, Chan Ieong; Lesesvre, Didier 1 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 Dimension formulas for modular form spaces with character for Fricke groups. Zbl 1519.11023 Zhang, Yichao; Zhou, Yang 1 2022 The first moment of quadratic twists of modular \(L\)-functions. Zbl 1517.11111 Shen, Quanli 1 2022 The Hausdorff and packing measure of some digital expansions. Zbl 1514.11012 Ingebretson, Daniel 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 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 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 On an application of the \(abc\)-theorem for polynomials to the squarefree neighbour problem. Zbl 1509.11020 Banerjee, Pradipto 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 Bilinear sums of Gauss sums. Zbl 1496.11108 Shparlinski, Igor E. 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 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 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 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 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 The monogeneity of radical extensions. Zbl 1469.11413 Smith, Hanson 19 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 simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. Zbl 1466.11079 Chattopadhyay, Jaitra; Muthukrishnan, Subramani 7 2021 On the invariant \(\mathsf{E}(G)\) for groups of odd order. Zbl 1493.11055 Gao, Weidong; Li, Yuanlin; Qu, Yongke 7 2021 ...and 1426 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,377 Authors 206 Shparlinski, Igor E. 152 Luca, Florian 91 Bugeaud, Yann 91 Dubickas, Artūras 81 Laurinčikas, Antanas 74 Sun, Zhi-Wei 68 Zaharescu, Alexandru 62 Togbé, Alain 59 Chen, Yonggao 59 Zhai, Wenguang 58 Pillichshammer, Friedrich 57 Sárközy, András 56 Hajdu, Lajos 55 Zhang, Wenpeng 50 Mauduit, Christian 50 Pollack, Paul 50 Zannier, Umberto M. 49 Guo, Victor J. W. 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 42 Shkredov, Il’ya Dmitrievich 41 Wu, Jie 40 Larchner, Gerhard 40 Matsumoto, Kohji 40 Tao, Terence 40 Wooley, Trevor D. 40 Xia, Ernest X. W. 39 Bennett, Michael A. 39 Louboutin, Stéphane R. 39 Niederreiter, Harald 38 Williams, Kenneth S. 38 Zhao, Liangyi 37 Dick, Josef 37 Dujella, Andrej 37 Thuswaldner, Jörg Maximilian 37 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 Ostafe, Alina 32 Pinner, Christopher G. 32 Ramaré, Olivier 31 Bernik, Vasiliĭ Ivanovich 31 Cochrane, Todd 31 Fujita, Yasutsugu 31 Gao, Weidong 31 Győry, Kálmán 31 Hong, Shaofang 31 Perelli, Alberto 30 de la Bretèche, Régis 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 29 Yao, Olivia Xiang Mei 28 Baier, Stephan 28 Banks, William David 28 Bringmann, Kathrin 28 Cohen, Stephen D. 28 Pethő, Attila 28 Shallit, Jeffrey Outlaw 28 Yue, Qin 27 Blomer, Valentin 27 Fuchs, Clemens 27 Gao, Peng 27 Li, Jinjiang 27 Matomäki, Kaisa 27 Sankaranarayanan, Ayyadurai 27 Siksek, Samir 27 Tijdeman, Robert 27 Yuan, Pingzhi 26 Berthé, Valérie 26 Ichimura, Humio 26 Masser, David William ...and 11,277 more Authors all top 5 Cited in 718 Journals 2,051 Journal of Number Theory 638 International Journal of Number Theory 575 The Ramanujan Journal 471 Acta Arithmetica 433 Journal de Théorie des Nombres de Bordeaux 423 Mathematics of Computation 395 Proceedings of the American Mathematical Society 360 Monatshefte für Mathematik 351 Transactions of the American Mathematical Society 324 Finite Fields and their Applications 246 Discrete Mathematics 237 Functiones et Approximatio. Commentarii Mathematici 218 Acta Mathematica Hungarica 208 Mathematische Annalen 200 Archiv der Mathematik 198 Mathematische Zeitschrift 192 Advances in Mathematics 190 Integers 183 Israel Journal of Mathematics 182 Research in Number Theory 180 Journal of Mathematical Analysis and Applications 179 Indagationes Mathematicae. New Series 157 Rocky Mountain Journal of Mathematics 155 Journal of Algebra 151 Mathematical Notes 150 Periodica Mathematica Hungarica 150 Journal of Combinatorial Theory. Series A 148 Compositio Mathematica 146 Bulletin of the Australian Mathematical Society 139 Mathematika 137 Lithuanian Mathematical Journal 136 Annales de l’Institut Fourier 136 Manuscripta Mathematica 130 Inventiones Mathematicae 127 Proceedings of the Japan Academy. Series A 125 Duke Mathematical Journal 112 Journal of Complexity 111 Theoretical Computer Science 106 Mathematical Proceedings of the Cambridge Philosophical Society 106 European Journal of Combinatorics 97 Journal of Pure and Applied Algebra 92 Designs, Codes and Cryptography 91 Journal of Mathematical Sciences (New York) 90 Czechoslovak Mathematical Journal 86 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 86 Acta Mathematica Sinica. English Series 84 Bulletin of the London Mathematical Society 78 Bulletin de la Société Mathématique de France 78 Comptes Rendus. Mathématique. Académie des Sciences, Paris 77 Algebra & Number Theory 76 Science China. Mathematics 74 Journal of the London Mathematical Society. Second Series 74 Mathematica Slovaca 73 Journal für die Reine und Angewandte Mathematik 70 Ergodic Theory and Dynamical Systems 69 Linear Algebra and its Applications 68 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 68 Chebyshevskiĭ Sbornik 67 Results in Mathematics 65 Advances in Applied Mathematics 65 The Electronic Journal of Combinatorics 64 Journal d’Analyse Mathématique 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 55 Journal of the Australian Mathematical Society 53 Proceedings of the London Mathematical Society. Third Series 52 Indian Journal of Pure & Applied Mathematics 50 Experimental Mathematics 50 Journal of the European Mathematical Society (JEMS) 49 Journal of Symbolic Computation 49 Geometric and Functional Analysis. GAFA 48 Discrete Applied Mathematics 48 Colloquium Mathematicum 48 Forum Mathematicum 47 Cryptography and Communications 46 Communications in Algebra 45 Tokyo Journal of Mathematics 45 Research in the Mathematical Sciences 44 Applicable Algebra in Engineering, Communication and Computing 43 Journal of the Ramanujan Mathematical Society 39 Journal of the American Mathematical Society 39 SIAM Journal on Discrete Mathematics 38 Mathematische Nachrichten 37 Acta Mathematica 37 Doklady Mathematics 37 Moscow Journal of Combinatorics and Number Theory 36 American Mathematical Monthly 36 Canadian Mathematical Bulletin 36 Discrete & Computational Geometry 35 Michigan Mathematical Journal 35 Revista Matemática Iberoamericana 34 Annali di Matematica Pura ed Applicata. Serie Quarta 34 Discrete and Continuous Dynamical Systems 34 Bulletin of the American Mathematical Society 33 Journal of Computational and Applied Mathematics 33 Expositiones Mathematicae ...and 618 more Journals all top 5 Cited in 62 Fields 15,853 Number theory (11-XX) 1,650 Combinatorics (05-XX) 1,442 Algebraic geometry (14-XX) 1,033 Dynamical systems and ergodic theory (37-XX) 639 Group theory and generalizations (20-XX) 583 Computer science (68-XX) 573 Field theory and polynomials (12-XX) 537 Special functions (33-XX) 479 Information and communication theory, circuits (94-XX) 409 Measure and integration (28-XX) 396 Probability theory and stochastic processes (60-XX) 395 Numerical analysis (65-XX) 367 Commutative algebra (13-XX) 360 Functions of a complex variable (30-XX) 279 Harmonic analysis on Euclidean spaces (42-XX) 257 Convex and discrete geometry (52-XX) 248 Linear and multilinear algebra; matrix theory (15-XX) 175 Mathematical logic and foundations (03-XX) 160 Geometry (51-XX) 149 Topological groups, Lie groups (22-XX) 131 Approximations and expansions (41-XX) 117 Associative rings and algebras (16-XX) 114 Several complex variables and analytic spaces (32-XX) 114 Sequences, series, summability (40-XX) 107 Functional analysis (46-XX) 101 Real functions (26-XX) 92 Quantum theory (81-XX) 88 Operator theory (47-XX) 85 History and biography (01-XX) 85 Manifolds and cell complexes (57-XX) 82 Global analysis, analysis on manifolds (58-XX) 77 General topology (54-XX) 67 Statistics (62-XX) 66 Partial differential equations (35-XX) 66 Difference and functional equations (39-XX) 64 Order, lattices, ordered algebraic structures (06-XX) 64 Ordinary differential equations (34-XX) 61 Abstract harmonic analysis (43-XX) 60 \(K\)-theory (19-XX) 53 Operations research, mathematical programming (90-XX) 52 Differential geometry (53-XX) 47 Statistical mechanics, structure of matter (82-XX) 42 Nonassociative rings and algebras (17-XX) 37 Integral transforms, operational calculus (44-XX) 33 General and overarching topics; collections (00-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Category theory; homological algebra (18-XX) 23 Algebraic topology (55-XX) 19 Potential theory (31-XX) 11 Integral equations (45-XX) 11 Mechanics of particles and systems (70-XX) 11 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 8 General algebraic systems (08-XX) 7 Biology and other natural sciences (92-XX) 6 Relativity and gravitational theory (83-XX) 6 Systems theory; control (93-XX) 6 Mathematics education (97-XX) 4 Geophysics (86-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) Citations by Year