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: Indexed cover-to-cover Documents Indexed: 5,262 Publications (since 1935) References Indexed: 729 Publications with 11,485 References. all top 5 Latest Issues 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) 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) 186, No. 1 (2018) 185, No. 4 (2018) 185, No. 3 (2018) 185, No. 2 (2018) 185, No. 1 (2018) 184, No. 4 (2018) 184, No. 3 (2018) 184, No. 2 (2018) 184, No. 1 (2018) 183, No. 4 (2018) 183, No. 3 (2018) 183, No. 2 (2018) 183, No. 1 (2018) 182, No. 4 (2018) 182, No. 3 (2018) 182, No. 2 (2018) 182, No. 1 (2018) ...and 604 more Volumes all top 5 Authors 67 Schinzel, Andrzej 55 Erdős, Pál 42 Luca, Florian 37 Shorey, Tarlok Nath 36 Sárközy, András 34 Győry, Kálmán 33 Williams, Kenneth S. 28 Carlitz, Leonard 26 Niederreiter, Harald 26 Tijdeman, Robert 26 Zhai, Wenguang 25 Chen, Yonggao 24 Ramachandra, Kanakanahalli 23 Schmidt, Wolfgang M. 21 Baker, Roger C. 21 Bugeaud, Yann 21 Mózer, Ján 21 Saradha, N. 21 Shparlinski, Igor E. 21 Sun, Zhi-Wei 20 Filaseta, Michael A. 20 Pintz, Janos 19 Knapowski, Stanislaw 18 Car, Mireille 18 Iwaniec, Henryk 18 Le, Maohua 18 Mauduit, Christian 18 Ruzsa, Imre Z. 18 Zannier, Umberto M. 17 Balasubramanian, Ramachandran 17 Chowla, Sarvadaman 17 Hajdu, Lajos 17 Kaczorowski, Jerzy 17 Pomerance, Carl Bernard 17 Sankaranarayanan, Ayyadurai 16 Evertse, Jan-Hendrik 16 Pan, Hao 16 Staś, Włodzimierz 15 Elliott, Peter D. T. A. 15 Girstmair, Kurt 15 Turán, Pál 15 Wooley, Trevor D. 15 Wu, Jie 15 Zaharescu, Alexandru 15 Zhang, Wenpeng 14 Davenport, Harold 14 Fogels, Èrnest K. 14 Heath-Brown, Roger 14 Huxley, Martin N. 14 Mordell, Louis Joel 14 Sun, Zhihong 13 Dubickas, Artūras 13 Mahler, Kurt 13 Narkiewicz, Władysław 13 Schlage-Puchta, Jan-Christoph 13 Walsh, Peter Gareth 13 Yuan, Pingzhi 12 Delange, Hubert 12 Kátai, Imre 12 Louboutin, Stéphane R. 12 Mendès France, Michel 11 Bennett, Michael A. 11 Berndt, Bruce Carl 11 Byeon, Dongho 11 Hooley, Christopher 11 Liu, Hongquan 11 Liu, Huaning 11 Matsumoto, Kohji 11 Mignotte, Maurice 11 Mullen, Gary L. 11 Perelli, Alberto 11 Ramaré, Olivier 11 Schweiger, Fritz 11 Tenenbaum, Gérald 10 Bombieri, Enrico 10 Bremner, Andrew 10 Cohn, John H. E. 10 Dujella, Andrej 10 Faure, Henri 10 Gao, Weidong 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 Lemmermeyer, Franz Josef 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 Walfisz, Arnold 9 Babu, Gutti Jogesh 9 Banks, William David 9 Bilu, Yuri F. 9 Brüdern, Jörg 9 Cochrane, Todd ...and 3,217 more Authors all top 5 Fields 4,817 Number theory (11-XX) 340 Algebraic geometry (14-XX) 195 Field theory and polynomials (12-XX) 142 Combinatorics (05-XX) 103 Dynamical systems and ergodic theory (37-XX) 92 Group theory and generalizations (20-XX) 79 Special functions (33-XX) 77 Functions of a complex variable (30-XX) 62 Commutative algebra (13-XX) 48 History and biography (01-XX) 43 Measure and integration (28-XX) 38 \(K\)-theory (19-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Computer science (68-XX) 30 Real functions (26-XX) 26 Convex and discrete geometry (52-XX) 25 Probability theory and stochastic processes (60-XX) 25 Numerical analysis (65-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 20 Associative rings and algebras (16-XX) 19 Information and communication theory, circuits (94-XX) 17 Approximations and expansions (41-XX) 15 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) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,920 Publications have been cited 24,788 times in 15,522 Documents Cited by ▼ Year ▼ On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056Szemerédi, Endre 258 1975 Discrépance de suites associées à un système de numération (en dimension \(s\)). Zbl 0442.10035Faure, Henri 128 1982 Echanges d’intervalles et transformations induites. Zbl 0414.28018Rauzy, Gerard 118 1979 Irregularities of distribution. VII. Zbl 0244.10035Schmidt, Wolfgang M. 113 1972 Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003Gelfond, A. O. 108 1968 On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001Dobrowolski, E. 105 1979 On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048Mauduit, Christian; Sárközy, András 102 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 0475.10034Robin, Guy 85 1983 Universal graphs and universal functions. Zbl 0139.17303Rado, R. 85 1964 A new form of the error term in the linear sieve. Zbl 0444.10038Iwaniec, Henryk 80 1980 The exceptional set in Goldbach’s problem. Zbl 0301.10043Montgomery, H. L.; Vaughan, R. C. 70 1975 Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 69 2001 Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074Laurent, Michel 69 2008 Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02Siegel, C. L. 69 1935 Solving a linear equation in a set of integers. I. Zbl 1042.11525Ruzsa, Imre Z. 67 1993 On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902Kesten, H. 67 1966 On continued fractions and diophantine approximation in power series fields. Zbl 0987.11041Schmidt, Wolfgang M. 65 2000 On the number of sums and products. Zbl 0887.11012Elekes, György 62 1997 Rosser’s sieve. Zbl 0435.10029Iwaniec, Henryk 61 1980 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058Stoll, Michael 59 2001 The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk 57 2001 The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049Bilu, Yuri F.; Tichy, Robert F. 56 2000 On finite pseudorandom binary sequences. VII. Zbl 1126.11330Cassaigne, Julien; Mauduit, Christian; Sárközy, András 53 2002 A mean value estimate for real character sums. Zbl 0828.11040Heath-Brown, D. R. 52 1995 Frieze patterns. Zbl 0217.18101Coxeter, H. S. M. 52 1971 On certain hypotheses concerning prime numbers. (Sur certaines hypothèses concernant les nombres premiers.) Zbl 0082.25802Schinzel, Andrzej; Sierpiński, Wacław 51 1958 On the addition of residue classes mod \(p\). Zbl 0156.04801Erdős, Pál; Heilbronn, H. 51 1964 On approximation of real numbers by real algebraic numbers. Zbl 0937.11027Beresnevich, V. 49 1999 On the order of magnitude of the difference between consecutive prime numbers. JFM 62.1147.01Cramér, H. 49 1936 An extension of the Apéry number supercongruence. Zbl 1170.11008Kilbourn, Timothy 46 2006 The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045Heath-Brown, D. R. 46 1992 Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014Conway, J. H.; Jones, A. J. 45 1976 On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004Schinzel, Andrzej 45 1973 On the functional independence of the Dirichlet L-function. Zbl 0308.10025Voronin, S. M. 44 1975 The distribution of polynomials over finite fields. Zbl 0209.36001Cohen, S. D. 44 1970 Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020Philipp, Walter 44 1975 Period polynomials and Gauss sums for finite fields. Zbl 0393.12028Myerson, Gerald 43 1981 Euler constants for arithmetical progressions. Zbl 0302.12003Lehmer, D. H. 43 1975 Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014Hong, Shaofang 43 2002 MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010Andrews, George E.; Paule, Peter 42 2007 Small eigenvalues of Laplacian for \(\Gamma_ 0(N)\). Zbl 0702.11034Iwaniec, Henryk 42 1990 An elementary method in prime number theory. Zbl 0448.10037Vaughan, R. C. 41 1980 A lower bound for linear forms in logarithms. Zbl 0357.10017Waldschmidt, Michel 41 1980 Parametric geometry of numbers and applications. Zbl 1236.11060Schmidt, Wolfgang M.; Summerer, Leonhard 40 2009 A new class of continued fraction expansions. Zbl 0721.11029Kraaikamp, Cor 39 1991 Shifted primes without large prime factors. Zbl 0994.11033Baker, R. C.; Harman, G. 38 1998 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026Stroeker, R. J.; Tzanakis, N. 38 1994 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 38 1969 Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033Hata, Masayoshi 38 1993 An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049Bernik, V. I. 37 1983 Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062Delange, Hubert 37 1972 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 Primes in arithmetic progressions. Zbl 0517.10045Fouvry, E.; Iwaniec, H. 36 1983 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 35 1980 On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two. Zbl 0094.15902Segre, Beniamino 35 1959 On the theorem of Gauss-Kusmin-Levy and a Frobenius-type theorem for function spaces. Zbl 0283.10032Wirsing, Eduard 35 1974 Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903Siegel, Carl Ludwig 35 1935 On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042Bernik, V. I. 35 1989 Traces of high powers of the Frobenius class in the hyperelliptic ensemble. Zbl 1260.11057Rudnick, Zeév 34 2010 Kuroda’s class number formula. Zbl 0807.11052Lemmermeyer, Franz 34 1994 On higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031Zhai, Wenguang 34 2004 On a diophantine inequality involving prime numbers. Zbl 0762.11033Tolev, D. I. 34 1992 On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 34 1996 Ergodic properties of generalized Lüroth series. Zbl 0848.11039Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor 34 1996 Sur des formules de Atle Selberg. Zbl 0217.31902Delange, Hubert 34 1971 Ovali ed altre curve nei piani di Galois di caratteristica due. Zbl 0219.50016Segre, Beniamino; Bartocci, U. 34 1971 On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas 33 2004 Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010Knebusch, Manfred 33 1973 Sums of sets of group elements. Zbl 0318.10035Olson, John E. 33 1975 Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055Schmidt, Wolfgang M. 33 1995 Additive properties of certain sets. Zbl 1014.11009Dombi, Gergely 33 2002 On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020Knopp, Marvin; Mason, Geoffrey 33 2003 On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008Mauduit, Christian; Sárközy, András 33 1997 Further evaluations of Weil sums. Zbl 0917.11061Coulter, Robert S. 33 1998 The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902Hayes, D. R. 33 1966 Large values of Dirichlet polynomials. III. Zbl 0268.10026Huxley, M. N. 33 1975 The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020Conrey, J. B.; Duke, W.; Farmer, D. W. 32 1997 On c-semigroups. Zbl 0303.13014Skula, Ladislav 32 1976 A general framework for subexponential discrete logarithm algorithms. Zbl 1028.11079Enge, Andreas; Gaudry, Pierrick 32 2002 Fibonacci numbers and Fermat’s last theorem. Zbl 0725.11009Sun, Zhihong; Sun, Zhiwei 32 1992 Nineteen quaternary quadratic forms. Zbl 1131.11025Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 32 2007 More than 41% of the zeros of the zeta function are on the critical line. Zbl 1250.11083Bui, H. M.; Conrey, Brian; Young, Matthew P. 32 2011 Explicit evaluations of some Weil sums. Zbl 0924.11098Coulter, Robert S. 31 1998 Computing integral points on elliptic curves. Zbl 0816.11019Gebel, J.; Pethö, A.; Zimmer, H. G. 31 1994 Initial powers of Sturmian sequences. Zbl 1117.37005Berthé, Valérie; Holton, Charles; Zamboni, Luca Q. 31 2006 An effective lower bound for the height of algebraic numbers. Zbl 0838.11065Voutier, Paul M. 31 1996 Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch 31 1996 A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007Risley, Rebecca N.; Zamboni, Luca Q. 31 2000 On a linear diophantine problem of Frobenius. Zbl 0246.10010Erdős, Paul; Graham, Ronald L. 31 1972 Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052Besineau, Jean 31 1972 On the theorem of Jarnik and Besicovitch. Zbl 0468.10031Kaufman, R. 30 1981 The cyclotomic numbers of order twelve. Zbl 0091.04302Whiteman, A. L. 30 1960 Lower bounds for discriminants of number fields. Zbl 0286.12006Odlyzko, A. M. 30 1976 Inverse zero-sum problems. III. Zbl 1213.11178Gao, Weidong; Geroldinger, Alfred; Grynkiewicz, David J. 30 2010 Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002Morton, Patrick 30 1998 Pure and mixed exponential sums. Zbl 0937.11031Cochrane, Todd; Zheng, Zhiyong 29 1999 The universality of zeta-functions attached to certain cusp forms. Zbl 0974.11018Laurinčikas, Antanas; Matsumoto, Kohji 29 2001 Determinants of multiplicative Toeplitz matrices. Zbl 1153.11014Hilberdink, Titus 29 2006 Parity results for broken \(k\)-diamond partitions and \((2k+1)\)-cores. Zbl 1226.11112Radu, Silviu; Sellers, James A. 29 2011 Cyclic sum of multiple zeta values. Zbl 1156.11038Ohno, Yasuo; Wakabayashi, Noriko 28 2006 A geometric linear Chabauty comparison theorem. Zbl 07496898Hashimoto, Sachi; Spelier, Pim 2 2022 The index of degeneracy of a CM abelian variety can be arbitrarily large. Zbl 1502.11067Kida, Masanari; Yanai, Hiromichi 1 2022 On a logarithmic sum related to the Selberg sieve. Zbl 1490.11092Zuniga Alterman, Sebastian 1 2022 Low-degree permutation rational functions over finite fields. Zbl 1492.11162Ding, Zhiguo; Zieve, Michael E. 1 2022 The asymptotics of nilpotent Galois groups. Zbl 07573956Klüners, Jürgen 1 2022 A computation of prismatic Dieudonné module. Zbl 1497.14086Mondal, Shubhodip 1 2022 The Hausdorff and packing measure of some digital expansions. Zbl 07654975Ingebretson, Daniel 1 2022 Some new infinite families of monogenic polynomials with non-squarefree discriminant. Zbl 1465.11204Jones, Lenny 7 2021 Extreme and periodic \(L_2\) discrepancy of plane point sets. Zbl 1483.11158Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich 4 2021 Binary polynomial power sums vanishing at roots of unity. Zbl 1475.11042Bilu, Yuri; Luca, Florian 3 2021 Moments and distribution of values of \(L\)-functions over function fields inside the critical strip. Zbl 1483.11179Lumley, Allysa 3 2021 Weierstrass semigroups at every point of the Suzuki curve. Zbl 1460.11089Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni 3 2021 Zeros of certain weakly holomorphic modular forms for the Fricke group \(\varGamma_0^+(3)\). Zbl 1465.11115Hanamoto, Seiichi; Kuga, Seiji 3 2021 On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). Zbl 1473.11200Ahmed, Suman; Lim, Meng Fai 3 2021 Asymptotics for the Dirichlet coefficients of symmetric power \(L\)-functions. Zbl 1477.11079Luo, Shu; Lao, Huixue; Zou, Aiyue 2 2021 On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric \(_1F_0\) series. Zbl 1478.11006Zhang, Yong; Pan, Hao 2 2021 Supercongruences and binary quadratic forms. Zbl 1472.11026Sun, Zhi-Hong 2 2021 Efficient congruencing in ellipsephic sets: the quadratic case. Zbl 1483.11222Biggs, Kirsti D. 2 2021 Fourier coefficients of level 1 Hecke eigenforms. Zbl 1483.11077Hanada, Mitsuki; Madhukara, Rachana 2 2021 On universal norms for \(p\)-adic representations in higher-rank Iwasawa theory. Zbl 1483.11106Bullach, Dominik; Daoud, Alexandre 2 2021 Metric results on summatory arithmetic functions on Beatty sets. Zbl 1465.11077Technau, Marc; Zafeiropoulos, Agamemnon 2 2021 On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. Zbl 1466.11079Chattopadhyay, Jaitra; Muthukrishnan, Subramani 2 2021 Profinite commensurability of \(S\)-arithmetic groups. Zbl 1477.20091Kammeyer, Holger 2 2021 Explicit small heights in infinite non-abelian extensions. Zbl 1482.11081Frey, Linda 1 2021 On the class number of a real abelian field of prime conductor. Zbl 1480.11144Ichimura, Humio 1 2021 Intersection of class fields. Zbl 07349951Kühne, Lars 1 2021 Primitive divisors of elliptic divisibility sequences for elliptic curves with \(j=1728\). Zbl 1476.11090Verzobio, Matteo 1 2021 A note on sum-product estimates over finite valuation rings. Zbl 1471.11027Pham, Duc Hiep 1 2021 Rational points and ramified covers of products of two elliptic curves. Zbl 1468.14054Javanpeykar, Ariyan 1 2021 The monogeneity of radical extensions. Zbl 1469.11413Smith, Hanson 1 2021 Elliptic and abelian period spaces. Zbl 1472.11212Wüstholz, Gisbert 1 2021 The equation \((x-d)^5+x^5+(x+d)^5=y^n\). Zbl 1475.11049Bennett, Michael A.; Koutsianas, Angelos 1 2021 On the genesis of BBP formulas. Zbl 1476.11103Barsky, Daniel; Muñoz, Vicente; Pérez-Marco, Ricardo 1 2021 Norm form equations with solutions taking values in a multi-recurrence. Zbl 1476.11068Fuchs, Clemens; Heintze, Sebastian 1 2021 Congruences for generalized Fishburn numbers at roots of unity. Zbl 1473.11191Goswami, Ankush 1 2021 On the local structure of the set of values of Euler’s \(\varphi\) function. Zbl 1487.11010Deshouillers, Jean-Marc; Eyyunni, Pramod; Gun, Sanoli 1 2021 A proof of Newman’s conjecture for the extended Selberg class. Zbl 1493.11117Dobner, Alexander 1 2021 On the zeros of certain weakly holomorphic modular forms for \(\Gamma_0^+(5)\) and \(\Gamma_0^+(7)\). Zbl 1487.11040Kuga, Seiji 1 2021 On power integral bases for certain pure number fields defined by \(x^{2\cdot 3^k}-m\). Zbl 1491.11098El Fadil, Lhoussain 1 2021 The standard twist of \(L\)-functions revisited. Zbl 1492.11133Kaczorowski, J.; Perelli, A. 1 2021 On constant terms of Eisenstein series. Zbl 1483.11088Dasgupta, Samit; Kakde, Mahesh 1 2021 On sums of sums involving squarefull numbers. Zbl 1497.11239Kiuchi, Isao 1 2021 Concerning a weak version of the inverse Galois problem. (À propos d’une version faible du problème inverse de Galois.) Zbl 1464.12006Deschamps, Bruno; Legrand, François 1 2021 Skolem’s conjecture confirmed for a family of exponential equations. II. Zbl 1465.11085Bérczes, A.; Hajdu, L.; Tijdeman, R. 1 2021 Gaussian behavior of quadratic irrationals. Zbl 1467.11073Cesaratto, Eda; Vallée, Brigitte 1 2021 A large sieve inequality for power moduli. Zbl 1471.11248Munsch, Marc 1 2021 Counting finite index subrings of \(\mathbb{Z}^n\). Zbl 07324315Atanasov, Stanislav; Kaplan, Nathan; Krakoff, Benjamin; Menzel, Julia H. 1 2021 Quadratic fields with a class group of large 3-rank. Zbl 1473.11205Levin, Aaron; Yan, Shengkuan; Wiljanen, Luke 1 2021 Periodic continued fractions over \(S\)-integers in number fields and Skolem’s \(p\)-adic method. Zbl 1467.11064Brock, Bradley W.; Elkies, Noam D.; Jordan, Bruce W. 1 2021 On a theorem of Davenport and Schmidt. Zbl 1468.11158Andersen, Nickolas; Duke, William 1 2021 Further bounds in the polynomial Szemerédi theorem over finite fields. Zbl 1459.11029Kuca, Borys 1 2021 Romanoff’s theorem for polynomials over finite fields revisited. Zbl 1496.11136Ding, Yuchen; Zhou, Haiyan 1 2021 Divisibility of some binomial sums. Zbl 1464.11029Ni, He-Xia; Pan, Hao 13 2020 Subconvexity for \(L\)-functions of non-spherical cusp forms on \(\mathrm{GL}(3)\). Zbl 1477.11090Blomer, Valentin; Buttcane, Jack 8 2020 On parametric geometry of numbers. Zbl 1452.11081Schmidt, Wolfgang M. 5 2020 Supercongruences arising from hypergeometric series identities. Zbl 1456.11005Liu, Ji-Cai 4 2020 On additive bases. III. Zbl 1461.11025Gao, Weidong; Qu, Yongke; Zhang, Hanbin 4 2020 Paramodular forms in CAP representations of \(\mathrm{GSp}(4)\). Zbl 1452.11056Schmidt, Ralf 4 2020 Salem numbers as Mahler measures of Gaussian Pisot numbers. Zbl 1450.11111Zaïmi, Toufik 4 2020 On the divisibility of some truncated hypergeometric series. Zbl 1466.11008Mao, Guo-Shuai; Pan, Hao 4 2020 Weil’s converse theorem for Maass forms and cancellation of zeros. Zbl 07324299Neururer, Michael; Oliver, Thomas 4 2020 Generating ray class fields of real quadratic fields via complex equiangular lines. Zbl 1442.11153Appleby, Marcus; Flammia, Steven; McConnell, Gary; Yard, Jon 3 2020 A density version of Cobham’s theorem. Zbl 1477.11049Byszewski, Jakub; Konieczny, Jakub 3 2020 The trace of 2-primitive elements of finite fields. Zbl 1452.11147Cohen, Stephen D.; Kapetanakis, Giorgos 3 2020 A new bound for the Erdős distinct distances problem in the plane over prime fields. Zbl 1447.52020Iosevich, Alex; Koh, Doowon; Pham, Thang; Shen, Chun-Yen; Vinh, Le Anh 3 2020 Irreducibility of polynomials with a large gap. Zbl 1442.11140Sawin, Will; Shusterman, Mark; Stoll, Michael 3 2020 Torsion groups of elliptic curves over quadratic fields \(\mathbb{Q}(\sqrt d), 0 < d < 100\). Zbl 1450.11056Trbović, Antonela 3 2020 Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set. Zbl 1464.12003Erdélyi, Tamás 3 2020 Large sieve with sparse sets of moduli for \(\mathbb{Z}[i]\). Zbl 1461.11113Baier, Stephan; Bansal, Arpit 3 2020 On the number of pairs of positive integers \(x, y \leq H\) such that \(x^2+y^2+1, x^2+y^2+2\) are square-free. Zbl 1469.11263Dimitrov, Stoyan 3 2020 Quantum modular forms and singular combinatorial series with repeated roots of unity. Zbl 1458.11147Folsom, Amanda; Jang, Min-Joo; Kimport, Sam; Swisher, Holly 3 2020 On Szemerédi’s theorem with differences from a random set. Zbl 1468.11037Altman, Daniel 3 2020 On a reduction map for Drinfeld modules. Zbl 1458.11096Bondarewicz, Wojciech; Krasoń, Piotr 3 2020 An application of the Hasse-Weil bound to rational functions over finite fields. Zbl 1456.11228Hou, Xiang-Dong; Iezzi, Annamaria 3 2020 Cyclic sums of finite multiple zeta values. Zbl 1461.11116Kawasaki, Naho; Oyama, Kojiro 3 2020 Generalized GCD for toric Fano varieties. Zbl 1471.14054Grieve, Nathan 3 2020 A perturbed Khinchin-type theorem and solutions to linear equations in Piatetski-Shapiro sequences. Zbl 1439.11176Glasscock, Daniel 2 2020 On exceptional sets of transcendental functions with integer coefficients: solution of a problem of Mahler. Zbl 1450.11078Marques, Diego; Moreira, Carlos Gustavo 2 2020 Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions. Zbl 1458.11131Essouabri, Driss; Matsumoto, Kohji 2 2020 Note on a result of Shparlinski and related results. Zbl 1461.11029Hegyvári, Norbert; Pálfy, Máté 2 2020 On multiplicative decompositions of polynomial sequences. III. Zbl 1447.11099Hajdu, L.; Sárközy, A. 2 2020 Automorphisms with eigenvalues in \(S^1\) of a \(\mathbb{Z}\)-lattice with cyclic finite monodromy. Zbl 1455.11094Hertling, Claus 2 2020 Skolem’s conjecture confirmed for a family of exponential equations. Zbl 1450.11027Hajdu, L.; Tijdeman, R. 2 2020 Partition regularity and multiplicatively syndetic sets. Zbl 1464.05347Chapman, Jonathan 2 2020 Preperiodic points for quadratic polynomials over cyclotomic quadratic fields. Zbl 1465.37111Doyle, John R. 2 2020 Counter-examples in parametric geometry of numbers. Zbl 1456.11124Rivard-Cooke, Martin; Roy, Damien 2 2020 On the 1-3-5 conjecture and related topics. Zbl 1458.11065Wu, Hai-Liang; Sun, Zhi-Wei 2 2020 On local-global divisibility over \(\mathrm{GL}_2\)-type varieties. Zbl 1450.11119Gillibert, Florence; Ranieri, Gabriele 2 2020 Halász’s theorem for Beurling generalized numbers. Zbl 1462.11074Debruyne, Gregory; Maes, Frederick; Vindas, Jasson 2 2020 On the degree of the \(p\)-torsion field of elliptic curves over \(\mathbb{Q}_\ell\) for \(\ell \neq p\). Zbl 1448.11103Freitas, Nuno; Kraus, Alain 2 2020 Critical zeros of lacunary \(L\)-functions. Zbl 1451.11092Conrey, J. B.; Iwaniec, H. 2 2020 On path partitions of the divisor graph. Zbl 1462.11076Melotti, Paul; Saias, Éric 1 2020 A binary quadratic Titchmarsh divisor problem. Zbl 1475.11174Li, Junxian 1 2020 The density of integers representable as the sum of four prime cubes. Zbl 1445.11109Elsholtz, Christian; Schlage-Puchta, Jan-Christoph 1 2020 Refined ramification breaks in characteristic \(p\). Zbl 1454.11212Elder, G. Griffith; Keating, Kevin 1 2020 Twists of hyperelliptic curves by integers in progressions modulo \(p\). Zbl 1469.11214Krumm, David; Pollack, Paul 1 2020 Primitive and geometric-progression-free sets without large gaps. Zbl 1469.11374Mcnew, Nathan 1 2020 A new exponent of simultaneous rational approximation. Zbl 1462.11056Poëls, Anthony 1 2020 An analogue of the Erdős-Kac theorem for the special linear group over the integers. Zbl 1462.11072El-Baz, Daniel 1 2020 Generic point and Mordell-Weil rank jump. (Point générique et saut du rang du groupe de Mordell-Weil.) Zbl 1460.14096Colliot-Thélène, Jean-Louis 1 2020 ...and 1347 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,628 Authors 180 Shparlinski, Igor E. 132 Luca, Florian 81 Dubickas, Artūras 77 Bugeaud, Yann 75 Laurinčikas, Antanas 59 Zaharescu, Alexandru 56 Sun, Zhi-Wei 55 Sárközy, András 54 Togbé, Alain 54 Zhang, Wenpeng 53 Pillichshammer, Friedrich 51 Zhai, Wenguang 50 Mauduit, Christian 48 Chen, Yonggao 47 Hajdu, Lajos 44 Guo, Victor J. W. 44 Zannier, Umberto M. 43 Winterhof, Arne 42 Lu, Guangshi 42 Pan, Hao 41 Aistleitner, Christoph 40 Murty, Maruti Ram 40 Pollack, Paul 40 Tenenbaum, Gérald 39 Geroldinger, Alfred 39 Tichy, Robert Franz 38 Larcher, Gerhard 37 Matsumoto, Kohji 37 Niederreiter, Harald 37 Wu, Jie 36 Miller, Steven J. 36 Moree, Pieter 35 Liu, Huaning 35 Williams, Kenneth S. 35 Xia, Ernest X. W. 34 Dick, Josef 34 Dujella, Andrej 34 Louboutin, Stéphane R. 34 Shkredov, Il’ya Dmitrievich 34 Zudilin, Wadim 33 Berndt, Bruce Carl 33 Erdős, Pál 33 Ivić, Aleksandar 33 Schmidt, Wolfgang M. 32 Bennett, Michael A. 32 Iwaniec, Henryk 31 Pomerance, Carl Bernard 31 Sun, Zhihong 31 Thuswaldner, Jörg Maximilian 31 Wooley, Trevor D. 30 Bergelson, Vitaly 30 Fouvry, Etienne 30 Hong, Shaofang 30 Mignotte, Maurice 30 Tao, Terence 29 Cochrane, Todd 29 Friedlander, John Benjamin 29 Gao, Weidong 29 Pintz, Janos 29 Shorey, Tarlok Nath 29 Tsumura, Hirofumi 28 Pinner, Christopher G. 27 Korolëv, Maksim Aleksandrovich 27 Perelli, Alberto 27 Ramaré, Olivier 27 Tanigawa, Yoshio 27 Zhao, Liangyi 27 Ziegler, Volker 26 Cohen, Stephen D. 26 Győry, Kálmán 26 Ostafe, Alina 26 Silverman, Joseph Hillel 25 Azizi, Abdelmalek 25 Baier, Stephan 25 Banks, William David 25 Bernik, Vasiliĭ Ivanovich 25 Fomenko, Oleg Mstislavovich 25 Fuchs, Clemens 25 Kaczorowski, Jerzy 25 Pethő, Attila 25 Roy, Damien 24 Cilleruelo, Javier 24 Fujita, Yasutsugu Fujita 24 Siksek, Samir 24 Tijdeman, Robert 24 Yuan, Pingzhi 23 Allouche, Jean-Paul Simon 23 Brüdern, Jörg 23 de la Bretèche, Régis 23 Drmota, Michael 23 Ford, Kevin B. 23 Garaev, Moubariz Z. 23 Granville, Andrew James 23 Grynkiewicz, David J. 23 Le, Maohua 23 Oh, Byeong-Kweon 23 Pintér, Ákos 23 Tang, Min 23 Yao, Olivia Xiang Mei 23 Yue, Qin ...and 9,528 more Authors all top 5 Cited in 641 Journals 1,871 Journal of Number Theory 560 International Journal of Number Theory 454 The Ramanujan Journal 404 Mathematics of Computation 403 Journal de Théorie des Nombres de Bordeaux 367 Proceedings of the American Mathematical Society 335 Monatshefte für Mathematik 328 Transactions of the American Mathematical Society 312 Acta Arithmetica 275 Finite Fields and their Applications 223 Discrete Mathematics 207 Functiones et Approximatio. Commentarii Mathematici 187 Archiv der Mathematik 182 Acta Mathematica Hungarica 176 Mathematische Annalen 176 Mathematische Zeitschrift 168 Advances in Mathematics 164 Israel Journal of Mathematics 155 Indagationes Mathematicae. New Series 144 Journal of Mathematical Analysis and Applications 143 Mathematical Notes 142 Journal of Algebra 139 Compositio Mathematica 138 Journal of Combinatorial Theory. Series A 136 Rocky Mountain Journal of Mathematics 132 Integers 129 Lithuanian Mathematical Journal 128 Periodica Mathematica Hungarica 128 Annales de l’Institut Fourier 128 Manuscripta Mathematica 127 Proceedings of the Japan Academy. 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Second Series 57 Journal d’Analyse Mathématique 57 Journal of Soviet Mathematics 57 Ergodic Theory and Dynamical Systems 56 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 55 Advances in Applied Mathematics 55 Bulletin of the American Mathematical Society. New Series 55 Chebyshevskiĭ Sbornik 54 Results in Mathematics 51 Journal of the Australian Mathematical Society 50 Combinatorica 50 The Electronic Journal of Combinatorics 45 Geometric and Functional Analysis. GAFA 43 Journal of Symbolic Computation 41 Tokyo Journal of Mathematics 40 Discrete Applied Mathematics 40 Applicable Algebra in Engineering, Communication and Computing 40 Experimental Mathematics 40 Cryptography and Communications 38 Indian Journal of Pure & Applied Mathematics 38 Forum Mathematicum 38 Journal of the European Mathematical Society (JEMS) 37 Acta Mathematica 37 Journal of Integer Sequences 36 Journal of the American Mathematical Society 36 Research in the Mathematical Sciences 35 Communications in Algebra 34 Bulletin of the American Mathematical Society 33 Colloquium Mathematicum 33 Journal of Computational and Applied Mathematics 33 Discrete & Computational Geometry 33 Journal of the Ramanujan Mathematical Society 32 Moscow Journal of Combinatorics and Number Theory 31 Annali di Matematica Pura ed Applicata. Serie Quarta 30 Communications in Mathematical Physics 30 Michigan Mathematical Journal 29 Discrete and Continuous Dynamical Systems 28 American Mathematical Monthly 27 Acta Mathematica Academiae Scientiarum Hungaricae 27 Applied Mathematics and Computation 26 Revista Matemática Iberoamericana 26 SIAM Journal on Discrete Mathematics 26 Turkish Journal of Mathematics 26 Frontiers of Mathematics in China 26 European Journal of Mathematics 25 Glasgow Mathematical Journal ...and 541 more Journals all top 5 Cited in 62 Fields 13,218 Number theory (11-XX) 1,336 Combinatorics (05-XX) 1,179 Algebraic geometry (14-XX) 822 Dynamical systems and ergodic theory (37-XX) 512 Group theory and generalizations (20-XX) 491 Field theory and polynomials (12-XX) 465 Computer science (68-XX) 447 Special functions (33-XX) 395 Information and communication theory, circuits (94-XX) 343 Numerical analysis (65-XX) 341 Measure and integration (28-XX) 324 Probability theory and stochastic processes (60-XX) 308 Commutative algebra (13-XX) 308 Functions of a complex variable (30-XX) 227 Harmonic analysis on Euclidean spaces (42-XX) 211 Convex and discrete geometry (52-XX) 205 Linear and multilinear algebra; matrix theory (15-XX) 136 Mathematical logic and foundations (03-XX) 135 Geometry (51-XX) 118 Topological groups, Lie groups (22-XX) 113 Approximations and expansions (41-XX) 101 Several complex variables and analytic spaces (32-XX) 93 Associative rings and algebras (16-XX) 91 Sequences, series, summability (40-XX) 89 Functional analysis (46-XX) 76 Real functions (26-XX) 74 Global analysis, analysis on manifolds (58-XX) 69 Operator theory (47-XX) 67 History and biography (01-XX) 64 General topology (54-XX) 59 Ordinary differential equations (34-XX) 58 Partial differential equations (35-XX) 57 Manifolds and cell complexes (57-XX) 57 Statistics (62-XX) 56 \(K\)-theory (19-XX) 56 Difference and functional equations (39-XX) 55 Quantum theory (81-XX) 54 Order, lattices, ordered algebraic structures (06-XX) 50 Abstract harmonic analysis (43-XX) 45 Operations research, mathematical programming (90-XX) 43 Differential geometry (53-XX) 37 Statistical mechanics, structure of matter (82-XX) 34 Nonassociative rings and algebras (17-XX) 31 Integral transforms, operational calculus (44-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Category theory; homological algebra (18-XX) 18 General and overarching topics; collections (00-XX) 18 Algebraic topology (55-XX) 16 Potential theory (31-XX) 9 Mechanics of particles and systems (70-XX) 8 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 7 General algebraic systems (08-XX) 6 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 6 Mathematics education (97-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year