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: 5,342 Publications (since 1935) References Indexed: 783 Publications with 13,305 References. all top 5 Latest Issues 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) 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) ...and 615 more Volumes all top 5 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. 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. 21 Sun, Zhi-Wei 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 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 Byeon, Dongho 11 Cohen, Stephen D. 11 Dujella, Andrej 11 Hooley, Christopher 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 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 Waldschmidt, Michel 10 Walfisz, Arnold ...and 3,289 more Authors all top 5 Fields 4,901 Number theory (11-XX) 349 Algebraic geometry (14-XX) 196 Field theory and polynomials (12-XX) 144 Combinatorics (05-XX) 105 Dynamical systems and ergodic theory (37-XX) 93 Group theory and generalizations (20-XX) 80 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) 39 \(K\)-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 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) 17 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,073 Publications have been cited 26,923 times in 16,708 Documents Cited by ▼ Year ▼ On sets of integers containing no \(k\) elements in arithmetic progression. Zbl 0303.10056Szemerédi, Endre 303 1975 Discrépance de suites associées à un système de numération (en dimension \(s\)). Zbl 0442.10035Faure, Henri 145 1982 Echanges d’intervalles et transformations induites. Zbl 0414.28018Rauzy, Gerard 128 1979 Irregularities of distribution. VII. Zbl 0244.10035Schmidt, Wolfgang M. 124 1972 Sur les nombres qui ont des propriétés additives et multiplicatives données. Zbl 0155.09003Gelfond, A. O. 118 1968 On a question of Lehmer and the number of irreducible factors of a polynomial. Zbl 0416.12001Dobrowolski, E. 117 1979 On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048Mauduit, Christian; Sárközy, András 107 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 92 1983 Universal graphs and universal functions. Zbl 0139.17303Rado, R. 92 1964 A new form of the error term in the linear sieve. Zbl 0444.10038Iwaniec, Henryk 82 1980 Über die Classenzahl quadratischer Zahlkörper. JFM 61.0170.02Siegel, C. L. 74 1935 Analytic continuation of multiple zeta-functions and their values at non-positive integers. Zbl 0972.11085Akiyama, Shigeki; Egami, Shigeki; Tanigawa, Yoshio 74 2001 Solving a linear equation in a set of integers. I. Zbl 1042.11525Ruzsa, Imre Z. 73 1993 Linear forms in two logarithms and interpolation determinants. II. Zbl 1215.11074Laurent, Michel 73 2008 The exceptional set in Goldbach’s problem. Zbl 0301.10043Montgomery, H. L.; Vaughan, R. C. 72 1975 On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902Kesten, H. 71 1966 On the number of sums and products. Zbl 0887.11012Elekes, György 67 1997 On continued fractions and diophantine approximation in power series fields. Zbl 0987.11041Schmidt, Wolfgang M. 67 2000 The inverse of the star-discrepancy depends linearly on the dimension. Zbl 0972.11065Heinrich, Stefan; Novak, Erich; Wasilkowski, Grzegorz W.; Woźniakowski, Henryk 64 2001 A mean value estimate for real character sums. Zbl 0828.11040Heath-Brown, D. R. 64 1995 Rosser’s sieve. Zbl 0435.10029Iwaniec, Henryk 63 1980 The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049Bilu, Yuri F.; Tichy, Robert F. 61 2000 On certain hypotheses concerning prime numbers. (Sur certaines hypothèses concernant les nombres premiers.) Zbl 0082.25802Schinzel, Andrzej; Sierpiński, Wacław 60 1958 Implementing 2-descent for Jacobians of hyperelliptic curves. Zbl 0972.11058Stoll, Michael 60 2001 On the order of magnitude of the difference between consecutive prime numbers. JFM 62.1147.01Cramér, H. 58 1936 Frieze patterns. Zbl 0217.18101Coxeter, H. S. M. 57 1971 On the addition of residue classes mod \(p\). Zbl 0156.04801Erdős, Pál; Heilbronn, H. 55 1964 On finite pseudorandom binary sequences. VII. Zbl 1126.11330Cassaigne, Julien; Mauduit, Christian; Sárközy, András 54 2002 On approximation of real numbers by real algebraic numbers. Zbl 0937.11027Beresnevich, V. 52 1999 Trigonometric Diophantine equations (On vanishing sums of roots of unity.). Zbl 0349.10014Conway, J. H.; Jones, A. J. 49 1976 An extension of the Apéry number supercongruence. Zbl 1170.11008Kilbourn, Timothy 48 2006 On the product of the conjugates outside the unit circle of an algebraic number. Zbl 0275.12004Schinzel, Andrzej 48 1973 The distribution and moments of the error term in the Dirichlet divisor problems. Zbl 0725.11045Heath-Brown, D. R. 48 1992 Small eigenvalues of Laplacian for \(\Gamma_ 0(N)\). Zbl 0702.11034Iwaniec, Henryk 47 1990 An elementary method in prime number theory. Zbl 0448.10037Vaughan, R. C. 47 1980 Limit theorems for lacunary series and uniform distribution mod 1. Zbl 0263.10020Philipp, Walter 47 1975 On the functional independence of the Dirichlet L-function. Zbl 0308.10025Voronin, S. M. 47 1975 MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010Andrews, George E.; Paule, Peter 46 2007 Period polynomials and Gauss sums for finite fields. Zbl 0393.12028Myerson, Gerald 46 1981 The distribution of polynomials over finite fields. Zbl 0209.36001Cohen, Stephen D. 45 1970 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 44 1969 Parametric geometry of numbers and applications. Zbl 1236.11060Schmidt, Wolfgang M.; Summerer, Leonhard 44 2009 Euler constants for arithmetical progressions. Zbl 0302.12003Lehmer, D. H. 44 1975 Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014Hong, Shaofang 43 2002 A lower bound for linear forms in logarithms. Zbl 0357.10017Waldschmidt, Michel 42 1980 Shifted primes without large prime factors. Zbl 0994.11033Baker, R. C.; Harman, G. 41 1998 A new class of continued fraction expansions. Zbl 0721.11029Kraaikamp, Cor 41 1991 Explicit evaluations of some Weil sums. Zbl 0924.11098Coulter, Robert S. 40 1998 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026Stroeker, R. J.; Tzanakis, N. 39 1994 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 39 1980 An application of the Hausdorff dimension to the theory of diophantine approximations. Zbl 0482.10049Bernik, V. I. 39 1983 Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033Hata, Masayoshi 38 1993 Primes in arithmetic progressions. Zbl 0517.10045Fouvry, E.; Iwaniec, H. 38 1983 An effective lower bound for the height of algebraic numbers. Zbl 0838.11065Voutier, Paul M. 38 1996 Sur les fonctions \(q\)-additives ou \(q\)-multiplicatives. Zbl 0219.10062Delange, Hubert 38 1972 On the theorem of Gauss-Kusmin-Levy and a Frobenius-type theorem for function spaces. Zbl 0283.10032Wirsing, Eduard 38 1974 On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 37 1996 On the exact order of approximation of zero of values of integral polynomials. Zbl 0692.10042Bernik, V. I. 37 1989 Sur des formules de Atle Selberg. Zbl 0217.31902Delange, Hubert 37 1971 Sums of sets of group elements. Zbl 0318.10035Olson, John E. 37 1975 Traces of high powers of the Frobenius class in the hyperelliptic ensemble. Zbl 1260.11057Rudnick, Zeév 37 2010 Further evaluations of Weil sums. Zbl 0917.11061Coulter, Robert S. 37 1998 On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020Knopp, Marvin; Mason, Geoffrey 36 2003 On the torsion of elliptic curves over cubic number fields. Zbl 1083.11038Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas 36 2004 On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two. Zbl 0094.15902Segre, Beniamino 36 1959 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008Mauduit, Christian; Sárközy, András 35 1997 Kuroda’s class number formula. Zbl 0807.11052Lemmermeyer, Franz 35 1994 Ergodic properties of generalized Lüroth series. Zbl 0848.11039Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor 35 1996 Ovali ed altre curve nei piani di Galois di caratteristica due. Zbl 0219.50016Segre, Beniamino; Bartocci, U. 35 1971 Initial powers of Sturmian sequences. Zbl 1117.37005Berthé, Valérie; Holton, Charles; Zamboni, Luca Q. 35 2006 Northcott’s theorem on heights. II: The quadratic case. Zbl 0784.11055Schmidt, Wolfgang M. 35 1995 Additive properties of certain sets. Zbl 1014.11009Dombi, Gergely 35 2002 Über die Klassenzahl quadratischer Zahlkörper. Zbl 0011.00903Siegel, Carl Ludwig 35 1935 On a diophantine inequality involving prime numbers. Zbl 0762.11033Tolev, D. I. 34 1992 Arithmetic progressions of length three in subsets of a random set. Zbl 0858.11009Kohayakawa, Yoshiharu; Łuczak, Tomasz; Rödl, Vojtěch 34 1996 On higher-power moments of \({\varDelta}(x)\). II. Zbl 1123.11031Zhai, Wenguang 34 2004 The expression of a polynomial as a sum of three irreducibles. Zbl 0151.03902Hayes, D. R. 34 1966 Specialization of quadratic and symmetric bilinear forms, and a norm theorem. Zbl 0287.15010Knebusch, Manfred 34 1973 On ratio sets of sets of natural numbers. Zbl 0177.07001Šalát, Tibor 33 1969 On a linear diophantine problem of Frobenius. Zbl 0246.10010Erdős, Paul; Graham, Ronald L. 33 1972 On the theorem of Jarnik and Besicovitch. Zbl 0468.10031Kaufman, R. 33 1981 Nineteen quaternary quadratic forms. Zbl 1131.11025Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 33 2007 Large values of Dirichlet polynomials. III. Zbl 0268.10026Huxley, M. N. 33 1975 On c-semigroups. Zbl 0303.13014Skula, Ladislav 33 1976 A general framework for subexponential discrete logarithm algorithms. Zbl 1028.11079Enge, Andreas; Gaudry, Pierrick 33 2002 Fibonacci numbers and Fermat’s last theorem. Zbl 0725.11009Sun, Zhihong; Sun, Zhiwei 33 1992 Computing integral points on elliptic curves. Zbl 0816.11019Gebel, J.; Pethö, A.; Zimmer, H. G. 32 1994 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 The distribution of the eigenvalues of Hecke operators. Zbl 0876.11020Conrey, J. B.; Duke, W.; Farmer, D. W. 32 1997 A generalization of Sturmian sequences: Combinatorial structure and transcendence. Zbl 0953.11007Risley, Rebecca N.; Zamboni, Luca Q. 32 2000 Carmichael’s lambda function. Zbl 0734.11047Erdős, Paul; Pomerance, Carl; Schmutz, Eric 32 1991 Independance statistique d’ensembles lies à la fonction ”somme des chiffres”. Zbl 0252.10052Besineau, Jean 32 1972 Arithmetic properties of periodic points of quadratic maps. II. Zbl 1029.12002Morton, Patrick 32 1998 On Epstein’s zeta function. Zbl 0128.27004Bateman, P. T.; Grosswald, E. 32 1964 Parity results for broken \(k\)-diamond partitions and \((2k+1)\)-cores. Zbl 1226.11112Radu, Silviu; Sellers, James A. 31 2011 Bounds for the solutions of Thue-Mahler equations and norm form equations. Zbl 0861.11024Bugeaud, Yann; Györy, Kálmán 31 1996 On Linnik’s approximation to Goldbach’s problem. I. Zbl 1031.11060Pintz, J.; Ruzsa, I. Z. 31 2003 On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions. Zbl 1248.11067Xylouris, Triantafyllos 30 2011 The divisor function \(d_3(n)\) in arithmetic progressions. Zbl 0549.10034Heath-Brown, D. R. 30 1986 Ramanujan-Sato series for \(1/\pi\). Zbl 07683776Huber, Tim; Schultz, Daniel; Ye, Dongxi 1 2023 A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond. Zbl 07683778Hu, Pei-Chu; Li, Bao Qin 1 2023 Lower bounds for the modified Szpiro ratio. Zbl 07732759Barrios, Alexander J. 1 2023 Fermat’s last theorem and modular curves over real quadratic fields. Zbl 1503.11071Michaud-Jacobs, Philippe 4 2022 A geometric linear Chabauty comparison theorem. Zbl 07496898Hashimoto, Sachi; Spelier, Pim 4 2022 Low-degree permutation rational functions over finite fields. Zbl 1492.11162Ding, Zhiguo; Zieve, Michael E. 3 2022 On extreme values for the Sudler product of quadratic irrationals. Zbl 1501.11074Hauke, Manuel 2 2022 Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. Zbl 1515.11113Kulkarni, Kaivalya R.; Levin, Aaron 2 2022 Linear independence criteria for generalized polylogarithms with distinct shifts. Zbl 1515.11068David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto 2 2022 On products of primes and almost primes in arithmetic progressions. Zbl 1503.11125Zhao, Lilu 2 2022 Joint distribution in residue classes of polynomial-like multiplicative functions. Zbl 1492.11007Pollack, Paul; Roy, Akash Singha 2 2022 Uniformity norms, their weaker versions, and applications. Zbl 07547459Dodos, Pandelis; Kanellopoulos, Vassilis 1 2022 On the algebraicity of Thue-Morse and period-doubling continued fractions. Zbl 1498.11083Hu, Yining; Han, Guo-Niu 1 2022 Modularity of special cycles on unitary Shimura varieties over CM-fields. Zbl 1519.11034Maeda, Yota 1 2022 Cycle integrals of the parson Poincaré series and intersection angles of geodesics on modular curves. Zbl 1506.11079Lägeler, Alessandro; Schwagenscheidt, Markus 1 2022 Hyperbolicity of the moduli of certain Fano threefolds. Zbl 1514.14044Licht, Philipp 1 2022 Dimension formulas for modular form spaces with character for Fricke groups. Zbl 1519.11023Zhang, Yichao; Zhou, Yang 1 2022 The Hausdorff and packing measure of some digital expansions. Zbl 1514.11012Ingebretson, Daniel 1 2022 Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law. Zbl 1509.11082Sourmelidis, Athanasios; Steuding, Jörn; Suriajaya, Ade Irma 1 2022 An improved spectral large sieve inequality for \(\mathrm{SL}_3(\mathbb{Z})\). Zbl 1506.11061Young, Matthew P. 1 2022 The asymptotics of nilpotent Galois groups. Zbl 1509.11109Klüners, Jürgen 1 2022 Point sets with optimal order of extreme and periodic discrepancy. Zbl 1503.11107Kritzinger, Ralph; Pillichshammer, Friedrich 1 2022 Coincidence of \(L\)-functions. Zbl 1509.11107Katayama, Yuta; Kida, Masanari 1 2022 Sieving intervals and Siegel zeros. Zbl 1504.11089Granville, Andrew 1 2022 A computation of prismatic Dieudonné module. Zbl 1497.14086Mondal, Shubhodip 1 2022 Statistics for \(p\)-ranks of Artin-Schreier covers. Zbl 1514.11039Ray, Anwesh 1 2022 On additive and multiplicative decompositions of sets of integers composed from a given set of primes. I: Additive decompositions. Zbl 1491.11089Győry, K.; Hajdu, L.; Sárközy, A. 1 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 An identity involving weighted and desingularized multiple zeta functions. Zbl 1492.11129Sahoo, Dilip K.; Viswanadham, G. K. 1 2022 Algebraic independence of certain entire functions of two variables generated by linear recurrences. Zbl 1496.11098Ide, Haruki 1 2022 Some new infinite families of monogenic polynomials with non-squarefree discriminant. Zbl 1465.11204Jones, Lenny 11 2021 The monogeneity of radical extensions. Zbl 1469.11413Smith, Hanson 9 2021 Extreme and periodic \(L_2\) discrepancy of plane point sets. Zbl 1483.11158Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich 5 2021 On the invariant \(\mathsf{E}(G)\) for groups of odd order. Zbl 1493.11055Gao, Weidong; Li, Yuanlin; Qu, Yongke 5 2021 Asymptotics for the Dirichlet coefficients of symmetric power \(L\)-functions. Zbl 1477.11079Luo, Shu; Lao, Huixue; Zou, Aiyue 4 2021 Weierstrass semigroups at every point of the Suzuki curve. Zbl 1460.11089Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni 4 2021 On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. Zbl 1466.11079Chattopadhyay, Jaitra; Muthukrishnan, Subramani 4 2021 Quadratic fields with a class group of large 3-rank. Zbl 1473.11205Levin, Aaron; Yan, Shengkuan; Wiljanen, Luke 4 2021 Binary polynomial power sums vanishing at roots of unity. Zbl 1475.11042Bilu, Yuri; Luca, Florian 4 2021 Supercongruences and binary quadratic forms. Zbl 1472.11026Sun, Zhi-Hong 4 2021 Fourier coefficients of level 1 Hecke eigenforms. Zbl 1483.11077Hanada, Mitsuki; Madhukara, Rachana 4 2021 On universal norms for \(p\)-adic representations in higher-rank Iwasawa theory. Zbl 1483.11106Bullach, Dominik; Daoud, Alexandre 4 2021 Moments and distribution of values of \(L\)-functions over function fields inside the critical strip. Zbl 1483.11179Lumley, Allysa 4 2021 Zeros of certain weakly holomorphic modular forms for the Fricke group \(\varGamma_0^+(3)\). Zbl 1465.11115Hanamoto, Seiichi; Kuga, Seiji 3 2021 Metric results on summatory arithmetic functions on Beatty sets. Zbl 1465.11077Technau, Marc; Zafeiropoulos, Agamemnon 3 2021 A large sieve inequality for power moduli. Zbl 1471.11248Munsch, Marc 3 2021 Counting finite index subrings of \(\mathbb{Z}^n\). Zbl 1505.11127Atanasov, Stanislav; Kaplan, Nathan; Krakoff, Benjamin; Menzel, Julia H. 3 2021 Profinite commensurability of \(S\)-arithmetic groups. Zbl 1477.20091Kammeyer, Holger 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 Rational points and ramified covers of products of two elliptic curves. Zbl 1468.14054Javanpeykar, Ariyan 3 2021 On sums of sums involving squarefull numbers. Zbl 1497.11239Kiuchi, Isao 3 2021 On the class number of a real abelian field of prime conductor. Zbl 1480.11144Ichimura, Humio 2 2021 On the Petersson inner products of Fourier-Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms. Zbl 1473.11095Kumar, 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 1464.12006Deschamps, Bruno; Legrand, François 2 2021 Gaussian behavior of quadratic irrationals. Zbl 1467.11073Cesaratto, Eda; Vallée, Brigitte 2 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. 2 2021 On a theorem of Davenport and Schmidt. Zbl 1468.11158Andersen, Nickolas; Duke, William 2 2021 Further bounds in the polynomial Szemerédi theorem over finite fields. Zbl 1459.11029Kuca, Borys 2 2021 Intersection of class fields. Zbl 1509.11052Kühne, Lars 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 A note on sum-product estimates over finite valuation rings. Zbl 1471.11027Pham, Duc Hiep 2 2021 The equation \((x-d)^5+x^5+(x+d)^5=y^n\). Zbl 1475.11049Bennett, Michael A.; Koutsianas, Angelos 2 2021 Congruences for generalized Fishburn numbers at roots of unity. Zbl 1473.11191Goswami, Ankush 2 2021 Efficient congruencing in ellipsephic sets: the quadratic case. Zbl 1483.11222Biggs, Kirsti D. 2 2021 On constant terms of Eisenstein series. Zbl 1483.11088Dasgupta, Samit; Kakde, Mahesh 2 2021 Explicit small heights in infinite non-abelian extensions. Zbl 1482.11081Frey, Linda 1 2021 Additive double character sums over some structured sets and applications. Zbl 1482.11158Swaenepoel, Cathy; Winterhof, Arne 1 2021 Generalized difference sets and autocorrelation integrals. Zbl 1475.05015Kravitz, Noah 1 2021 On the discrepancy of random subsequences of \(\{n\alpha \}\). II. Zbl 1479.11131Berkes, István; Borda, Bence 1 2021 Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank. 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Zbl 1452.11081Schmidt, Wolfgang M. 5 2020 ...and 1375 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,275 Authors 189 Shparlinski, Igor E. 139 Luca, Florian 85 Bugeaud, Yann 85 Dubickas, Artūras 78 Laurinčikas, Antanas 62 Zaharescu, Alexandru 58 Sun, Zhi-Wei 57 Sárközy, András 57 Togbé, Alain 56 Pillichshammer, Friedrich 55 Zhang, Wenpeng 54 Zhai, Wenguang 53 Chen, Yonggao 52 Hajdu, Lajos 50 Mauduit, Christian 48 Guo, Victor J. W. 47 Winterhof, Arne 47 Zannier, Umberto M. 44 Lu, Guangshi 44 Pollack, Paul 43 Aistleitner, Christoph 43 Geroldinger, Alfred 42 Pan, Hao 42 Tenenbaum, Gérald 42 Tichy, Robert Franz 41 Murty, Maruti Ram 40 Moree, Pieter 39 Larchner, Gerhard 38 Matsumoto, Kohji 38 Miller, Steven J. 38 Niederreiter, Harald 38 Shkredov, Il’ya Dmitrievich 37 Dick, Josef 37 Wu, Jie 37 Xia, Ernest X. W. 36 Dujella, Andrej 36 Liu, Huaning 36 Louboutin, Stéphane R. 36 Williams, Kenneth S. 36 Wooley, Trevor D. 35 Bennett, Michael A. 35 Thuswaldner, Jörg Maximilian 34 Berndt, Bruce Carl 34 Ivić, Aleksandar 34 Tao, Terence 34 Zudilin, Wadim 33 Erdős, Pál 33 Iwaniec, Henryk 33 Schmidt, Wolfgang M. 33 Sun, Zhihong 32 Mignotte, Maurice 32 Pomerance, Carl Bernard 32 Zhao, Liangyi 31 Fouvry, Etienne 31 Friedlander, John Benjamin 31 Pintz, Janos 30 Bergelson, Vitaly 30 Cochrane, Todd 30 Hong, Shaofang 30 Korolëv, Maksim Aleksandrovich 30 Pinner, Christopher G. 30 Ramaré, Olivier 30 Shorey, Tarlok Nath 30 Ziegler, Volker 29 Gao, Weidong 29 Perelli, Alberto 29 Tanigawa, Yoshio 29 Tsumura, Hirofumi 28 Cohen, Stephen D. 28 Győry, Kálmán 28 Kaczorowski, Jerzy 28 Le, Maohua 28 Ostafe, Alina 27 Banks, William David 27 Bernik, Vasiliĭ Ivanovich 27 Fuchs, Clemens 27 Pethő, Attila 27 Roy, Damien 27 Silverman, Joseph Hillel 27 Tijdeman, Robert 26 Azizi, Abdelmalek 26 Baier, Stephan 26 Oh, Byeong-Kweon 26 Siksek, Samir 25 de la Bretèche, Régis 25 Fomenko, Oleg Mstislavovich 25 Fujita, Yasutsugu 25 Pintér, Ákos 25 Yuan, Pingzhi 24 Alkan, Emre 24 Allouche, Jean-Paul Simon 24 Bringmann, Kathrin 24 Brüdern, Jörg 24 Cilleruelo, Javier 24 Ford, Kevin B. 24 Garaev, Moubariz Z. 24 Granville, Andrew James 24 Masser, David William 24 Ono, Ken 24 Tang, Min ...and 10,175 more Authors all top 5 Cited in 671 Journals 1,949 Journal of Number Theory 590 International Journal of Number Theory 478 The Ramanujan Journal 411 Mathematics of Computation 408 Journal de Théorie des Nombres de Bordeaux 378 Acta Arithmetica 377 Proceedings of the American Mathematical Society 343 Monatshefte für Mathematik 339 Transactions of the American Mathematical Society 297 Finite Fields and their Applications 235 Discrete Mathematics 212 Functiones et Approximatio. Commentarii Mathematici 197 Acta Mathematica Hungarica 188 Archiv der Mathematik 182 Advances in Mathematics 181 Mathematische Annalen 181 Mathematische Zeitschrift 173 Israel Journal of Mathematics 166 Indagationes Mathematicae. New Series 156 Journal of Mathematical Analysis and Applications 147 Rocky Mountain Journal of Mathematics 147 Journal of Algebra 143 Mathematical Notes 143 Compositio Mathematica 143 Journal of Combinatorial Theory. Series A 141 Integers 133 Research in Number Theory 132 Periodica Mathematica Hungarica 131 Bulletin of the Australian Mathematical Society 131 Lithuanian Mathematical Journal 131 Annales de l’Institut Fourier 131 Manuscripta Mathematica 127 Inventiones Mathematicae 127 Mathematika 127 Proceedings of the Japan Academy. 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Second Series 46 Forum Mathematicum 43 Journal of Symbolic Computation 43 Applicable Algebra in Engineering, Communication and Computing 42 Discrete Applied Mathematics 42 Tokyo Journal of Mathematics 41 Communications in Algebra 41 Colloquium Mathematicum 41 Journal of the European Mathematical Society (JEMS) 41 Cryptography and Communications 40 Research in the Mathematical Sciences 37 Acta Mathematica 36 Journal of the American Mathematical Society 36 Journal of the Ramanujan Mathematical Society 34 Discrete & Computational Geometry 34 Bulletin of the American Mathematical Society 33 American Mathematical Monthly 33 Canadian Mathematical Bulletin 33 Journal of Computational and Applied Mathematics 33 SIAM Journal on Discrete Mathematics 33 Discrete and Continuous Dynamical Systems 33 Moscow Journal of Combinatorics and Number Theory 32 Communications in Mathematical Physics 32 Annali di Matematica Pura ed Applicata. Serie Quarta 30 Michigan Mathematical Journal 29 Applied Mathematics and Computation 29 Revista Matemática Iberoamericana 28 Doklady Mathematics 27 Acta Mathematica Academiae Scientiarum Hungaricae ...and 571 more Journals all top 5 Cited in 62 Fields 14,229 Number theory (11-XX) 1,446 Combinatorics (05-XX) 1,281 Algebraic geometry (14-XX) 900 Dynamical systems and ergodic theory (37-XX) 564 Group theory and generalizations (20-XX) 518 Field theory and polynomials (12-XX) 505 Computer science (68-XX) 475 Special functions (33-XX) 430 Information and communication theory, circuits (94-XX) 375 Measure and integration (28-XX) 366 Numerical analysis (65-XX) 354 Probability theory and stochastic processes (60-XX) 338 Functions of a complex variable (30-XX) 334 Commutative algebra (13-XX) 252 Harmonic analysis on Euclidean spaces (42-XX) 227 Convex and discrete geometry (52-XX) 214 Linear and multilinear algebra; matrix theory (15-XX) 154 Mathematical logic and foundations (03-XX) 144 Geometry (51-XX) 124 Topological groups, Lie groups (22-XX) 121 Approximations and expansions (41-XX) 106 Several complex variables and analytic spaces (32-XX) 103 Associative rings and algebras (16-XX) 99 Functional analysis (46-XX) 98 Sequences, series, summability (40-XX) 87 Real functions (26-XX) 78 Global analysis, analysis on manifolds (58-XX) 77 Operator theory (47-XX) 73 History and biography (01-XX) 71 General topology (54-XX) 70 Manifolds and cell complexes (57-XX) 69 Quantum theory (81-XX) 65 Partial differential equations (35-XX) 61 Ordinary differential equations (34-XX) 61 Difference and functional equations (39-XX) 59 Order, lattices, ordered algebraic structures (06-XX) 57 \(K\)-theory (19-XX) 57 Statistics (62-XX) 53 Abstract harmonic analysis (43-XX) 48 Operations research, mathematical programming (90-XX) 45 Differential geometry (53-XX) 43 Statistical mechanics, structure of matter (82-XX) 38 Nonassociative rings and algebras (17-XX) 32 Integral transforms, operational calculus (44-XX) 27 General and overarching topics; collections (00-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Category theory; homological algebra (18-XX) 21 Algebraic topology (55-XX) 18 Potential theory (31-XX) 10 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 9 Mechanics of deformable solids (74-XX) 8 General algebraic systems (08-XX) 8 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Relativity and gravitational theory (83-XX) 5 Mathematics education (97-XX) 4 Geophysics (86-XX) 3 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) Citations by Year