Journal de Théorie des Nombres de Bordeaux Short Title: J. Théor. Nombres Bordx. Publisher: Université Bordeaux 1, Institut de Mathématiques de Bordeaux, Talence ISSN: 1246-7405; 2118-8572/e Online: https://jtnb.centre-mersenne.org/journals/JTNB/http://www.emis.de/journals/JTNB/index.htmlhttp://www.numdam.org/journals/JTNBhttp://www.digizeitschriften.de/dms/toc/?PPN=PPN320141322 Predecessor: Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série Comments: Journal; Indexed cover-to-cover; This journal is available open access Documents Indexed: 1,214 Publications (since 1993) References Indexed: 1,201 Publications with 21,050 References. all top 5 Latest Issues 36, No. 1 (2024) 35, No. 3 (2024) 35, No. 2 (2023) 35, No. 1 (2023) 34, No. 3 (2023) 34, No. 2 (2022) 34, No. 1 (2022) 33, No. 3, Part 2 (2022) 33, No. 3, Part 1 (2022) 33, No. 2 (2021) 33, No. 1 (2021) 32, No. 3 (2020) 32, No. 2 (2020) 32, No. 1 (2020) 31, No. 3 (2019) 31, No. 2 (2019) 31, No. 1 (2019) 30, No. 3 (2018) 30, No. 2 (2018) 30, No. 1 (2018) 29, No. 3 (2017) 29, No. 2 (2017) 29, No. 1 (2017) 28, No. 3 (2016) 28, No. 2 (2016) 28, No. 1 (2016) 27, No. 3 (2015) 27, No. 2 (2015) 27, No. 1 (2015) 26, No. 3 (2014) 26, No. 2 (2014) 26, No. 1 (2014) 25, No. 3 (2013) 25, No. 2 (2013) 25, No. 1 (2013) 24, No. 3 (2012) 24, No. 2 (2012) 24, No. 1 (2012) 23, No. 3 (2011) 23, No. 2 (2011) 23, No. 1 (2011) 22, No. 3 (2010) 22, No. 2 (2010) 22, No. 1 (2010) 21, No. 3 (2009) 21, No. 2 (2009) 21, No. 1 (2009) 20, No. 3 (2008) 20, No. 2 (2008) 20, No. 1 (2008) 19, No. 3 (2007) 19, No. 2 (2007) 19, No. 1 (2007) 18, No. 3 (2006) 18, No. 2 (2006) 18, No. 1 (2006) 17, No. 3 (2005) 17, No. 2 (2005) 17, No. 1 (2005) 16, No. 3 (2004) 16, No. 2 (2004) 16, No. 1 (2004) 15, No. 3 (2003) 15, No. 2 (2003) 15, No. 1 (2003) 14, No. 2 (2002) 14, No. 1 (2002) 13, No. 2 (2001) 13, No. 1 (2001) 12, No. 2 (2000) 12, No. 1 (2000) 11, No. 2 (1999) 11, No. 1 (1999) 10, No. 2 (1998) 10, No. 1 (1998) 9, No. 2 (1997) 9, No. 1 (1997) 8, No. 2 (1996) 8, No. 1 (1996) 7, No. 2 (1995) 7, No. 1 (1995) 6, No. 2 (1994) 6, No. 1 (1994) 5, No. 2 (1993) 5, No. 1 (1993) all top 5 Authors 10 Luca, Florian 8 Jaulent, Jean-François 6 Martinet, Jacques 6 Nebe, Gabriele 6 Nicolas, Jean-Louis 6 Siksek, Samir 5 Bugeaud, Yann 5 Byott, Nigel P. 5 Cohen, Henri 5 Gras, Georges 5 Ivić, Aleksandar 5 Lemmermeyer, Franz Josef 5 Pauli, Sebastian 5 Pethő, Attila 5 Pinner, Christopher G. 5 Ramaré, Olivier 5 Roy, Damien 5 Schertz, Reinhard 5 Shallit, Jeffrey Outlaw 5 Shparlinski, Igor E. 5 Thuswaldner, Jörg Maximilian 5 Zannier, Umberto M. 4 Allouche, Jean-Paul Simon 4 Bacher, Roland 4 Böckle, Gebhard 4 Elder, Gove Griffith 4 Grant, David R. 4 Levin, Mordekhaĭ Borisovich 4 Nguyen Quang Do, Thong 4 Pellarin, Federico 4 Rhin, Georges 4 Rivoal, Tanguy 4 Schmid, Wolfgang Alexander 4 Solé, Patrick 4 Stevenhagen, Peter 4 Verger-Gaugry, Jean-Louis 4 Voloch, José Felipe 4 Zaïmi, Toufik Mostepha 3 Abrashkin, Viktor Aleksandrovich 3 Achter, Jeffrey D. 3 Bayer-Fluckiger, Eva 3 Belabas, Karim 3 Bell, Jason P. 3 Bennett, Michael A. 3 Bitan, Rony A. 3 Borel, Jean-Pierre 3 Brzezinski, Juliusz 3 Buchmann, Johannes A. 3 Bundschuh, Peter 3 Chapoton, Frédéric 3 Cougnard, Jean 3 Cremona, John E. 3 de Mathan, Bernard 3 Dekking, Frederik Michel 3 Delaunay, Christophe 3 Diaz, Guy 3 Douai, Jean-Claude 3 Drmota, Michael 3 Dubickas, Artūras 3 Fukuda, Takashi 3 Geroldinger, Alfred 3 Guàrdia, Jordi 3 Hiranouchi, Toshiro 3 Ichimura, Humio 3 Keating, Kevin 3 Kedlaya, Kiran Sridhara 3 Kihel, Omar 3 Klüners, Jürgen 3 Komatsu, Takao 3 Kominers, Scott Duke 3 Kraaikamp, Cor 3 Lagarias, Jeffrey C. 3 Lalín, Matilde Noemí 3 Laubie, François 3 Laurinčikas, Antanas 3 Lei, Antonio 3 Levin, Aaron 3 Moree, Pieter 3 Moshchevitin, Nikolaĭ Germanovich 3 Ordaz, Oscar 3 Pharamond dit d’Costa, Layla 3 Pillichshammer, Friedrich 3 Pohst, Michael 3 Queyrut, Jacques 3 Rémond, Gaël 3 Salinier, Alain 3 Sárközy, András 3 Silverman, Joseph Hillel 3 Smyth, Christopher J. 3 Sonn, Jack 3 Soriano, Florence 3 Spearman, Blair Kenneth 3 Tenenbaum, Gérald 3 Thakur, Dinesh S. 3 Togbé, Alain 3 van der Poorten, Alfred J. 3 van Hoeij, Mark 3 Voight, John Michael 3 Watkins, Mark James 3 Wu, Jie ...and 1,225 more Authors all top 5 Fields 1,130 Number theory (11-XX) 216 Algebraic geometry (14-XX) 50 Group theory and generalizations (20-XX) 46 Field theory and polynomials (12-XX) 43 Dynamical systems and ergodic theory (37-XX) 38 Computer science (68-XX) 30 Combinatorics (05-XX) 30 Commutative algebra (13-XX) 22 Special functions (33-XX) 15 Topological groups, Lie groups (22-XX) 12 Information and communication theory, circuits (94-XX) 11 Probability theory and stochastic processes (60-XX) 10 General and overarching topics; collections (00-XX) 10 Associative rings and algebras (16-XX) 10 Measure and integration (28-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Convex and discrete geometry (52-XX) 7 \(K\)-theory (19-XX) 7 Functional analysis (46-XX) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 926 Publications have been cited 5,534 times in 4,659 Documents Cited by ▼ Year ▼ Counting points on elliptic curves over finite fields. Zbl 0852.11073 Schoof, René 115 1995 Poly-Bernoulli numbers. Zbl 0887.11011 Kaneko, Masanobou 109 1997 Integers without large prime factors. Zbl 0797.11070 Hildebrand, Adolf; Tenenbaum, Gérald 106 1993 On the mean values of Dedekind sums. Zbl 0871.11033 Zhang, Wenpeng 60 1996 Certain words on the real projective line. (Quelques mots sur la droite projective réelle.) Zbl 0839.11008 Borel, J.-P.; Laubie, F. 59 1993 Sturmian morphisms and Rauzy’s rules. (Morphismes sturmiens et règles de Rauzy.) Zbl 0797.11029 Mignosi, Filippo; Séébold, Patrice 49 1993 Substitution invariant cutting sequences. Zbl 0786.11041 Crisp, D.; Moran, W.; Pollington, A.; Shiue, P. 46 1993 Limit theorems for the Matsumoto zeta-function. Zbl 0859.11053 Laurinčikas, Antanas 41 1996 Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037 Waldschmidt, Michel 38 2000 Global \(\ell\)-adique clean field theory. (Théorie \(\ell\)-adique globale du corps de classes.) Zbl 0938.11052 Jaulent, Jean-François 36 1998 Class invariants by Shimura’s reciprocity law. Zbl 0957.11048 Gee, Alice 35 1999 Points of bounded height, adelic topology and Tamagawa measures. (Points de hauteur bornée, topologie adélique et mesures de Tamagawa.) Zbl 1057.14031 Peyre, Emmanuel 35 2003 \(M_2\)-rank differences for partitions without repeated odd parts. Zbl 1270.11103 Lovejoy, Jeremy; Osburn, Robert 33 2009 On sums of Hecke series in short intervals. Zbl 0994.11020 Ivić, Aleksandar 33 2001 ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) Zbl 1094.11032 Ecalle, Jean 33 2003 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327 Zudilin, Wadim 32 2004 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131 Guàrdia, Jordi; Montes, Jesús; Nart, Enric 32 2011 Approximating rings of integers in number fields. Zbl 0828.11075 Buchmann, J. A.; Lenstra, H. W. jun. 32 1994 Logarithmic classes of number fields. (Classes logarithmiques des corps de nombres.) Zbl 0827.11064 Jaulent, Jean-François 32 1994 Restriction theory of the Selberg sieve, with applications. Zbl 1135.11049 Green, Ben; Tao, Terence 31 2006 Diophantine \(m\)-tuples and elliptic curves. Zbl 1046.11034 Dujella, Andrej 31 2001 Computing fundamental domains for Fuchsian groups. Zbl 1222.11057 Voight, John 28 2009 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002 Colliot-Thélène, Jean-Louis 28 1995 No 17-torsion on elliptic curves over cubic number fields. Zbl 1072.11037 Parent, Pierre 27 2003 The catenary degree of Krull monoids. I. Zbl 1253.11101 Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. 27 2011 Prefix-suffix automaton associated with a primitive substitution. (Automate des préfixes-suffixes associé à une substitution primitive.) Zbl 1071.37011 Canterini, Vincent; Siegel, Anne 25 2001 Determinants of matrices related to the Pascal triangle. Zbl 1023.11011 Bacher, Roland 25 2002 On approximation by Lüroth series. Zbl 0870.11039 Dajani, Karma; Kraaikamp, Cor 24 1996 Weber’s class invariants revisited. Zbl 1022.11056 Schertz, Reinhard 24 2002 Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution. (Propriétés combinatoires, ergodiques et arithmétiques de la substitution de Tribonacci.) Zbl 1038.37010 Chekhova, Nataliya; Hubert, Pascal; Messaoudi, Ali 23 2001 Topics in computational algebraic number theory. Zbl 1078.11071 Belabas, Karim 22 2004 On the Euclidean minimum of some real number fields. Zbl 1161.11032 Bayer-Fluckiger, Eva; Nebe, Gabriele 22 2005 Classical and overconvergent modular forms of higher level. Zbl 0942.11025 Coleman, Robert F. 22 1997 Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068 Halter-Koch, Franz 21 1995 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255 Tao, Terence; Teräväinen, Joni 21 2018 Lucas and Lehmer numbers without primitive divisor. (Les nombres de Lucas et Lehmer sans diviseur primitif.) Zbl 1139.11011 Abouzaid, Mourad 21 2006 On the Galois group of generalized Laguerre polynomials. Zbl 1094.11042 Hajir, Farshid 21 2005 Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011 Geroldinger, Alfred; Hamidoune, Yahya Ould 21 2002 Counting discriminants of number fields. Zbl 1193.11109 Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 21 2006 On the binary expansions of algebraic numbers. Zbl 1076.11045 Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl 20 2004 Oscillatory integrals with uniformity in parameters. Zbl 1447.41015 Kıral, Eren Mehmet; Petrow, Ian; Young, Matthew P. 20 2019 Automatic congruences for diagonals of rational functions. Zbl 1384.11003 Rowland, Eric; Yassawi, Reem 19 2015 \(p\)-rational fields, \(p\)-regular fields and restricted ramification. (Corps \(p\)-rationnels, corps \(p\) réguliers, et ramification restreinte.) Zbl 0957.11046 Jaulent, Jean-François; Nguyen Quang Do, T. 19 1993 Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications. Zbl 0889.11040 Byott, Nigel P. 19 1997 Analytical construction of Weil curves over function fields. Zbl 0846.11037 Gekeler, Ernst-Ulrich 19 1995 Arithmetic and dynamical degrees on abelian varieties. Zbl 1416.11091 Silverman, Joseph H. 18 2017 The divisor problem for binary cubic forms. Zbl 1271.11091 Browning, Tim 18 2011 Factoring polynomials over global fields. Zbl 1254.11116 Belabas, Karim; van Hoeij, Mark; Klüners, Jürgen; Steel, Allan 18 2009 Additive properties of dense subsets of sifted sequences. Zbl 0996.11057 Ramaré, Olivier; Ruzsa, Imre Z. 18 2001 Ramification groups in Artin-Schreier-Witt extensions. Zbl 1207.11109 Thomas, Lara 18 2005 On the computation of quadratic 2-class groups. Zbl 0870.11080 Bosma, Wieb; Stevenhagen, Peter 18 1996 On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052 Lemmermeyer, Franz 18 1994 Arithmetic and dynamical properties of the Rauzy fractal. (Propriétés arithmétiques et dynamiques du fractal de Rauzy.) Zbl 0918.11048 Messaoudi, Ali 18 1998 On the few products, many sums problem. Zbl 1454.11025 Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 18 2019 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080 Freitas, Nuno; Siksek, Samir 17 2015 Computing the number of points on an elliptic curve over a finite field: algorithmic aspects. (Calcul du nombre de points sur une courbe elliptique dans un corps fini: aspects algorithmiques.) Zbl 0843.11030 Morain, François 17 1995 Rotation encoding and self-similarity phenomenon. (Codages de rotations et phénomènes d’autosimilarité.) Zbl 1113.37003 Adamczewski, Boris 17 2002 Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016 Thuswaldner, Jörg M. 17 2006 Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323 Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim 17 2005 On Drinfeld modular forms of higher rank. I. Zbl 1411.11041 Gekeler, Ernst-Ulrich 17 2017 Mahler’s method, transcendence and linear relations: effective aspects. (Méthode de Mahler, transcendance et relations linéaires: aspects effectifs.) Zbl 1441.11179 Adamczewski, Boris; Faverjon, Colin 16 2018 Field of moduli versus field of definition for cyclic covers of the projective line. Zbl 1201.14020 Kontogeorgis, Aristides 16 2009 Topological properties of two-dimensional number systems. Zbl 1012.11072 Akiyama, Shigeki; Thuswaldner, Jörg M. 16 2000 An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038 Poonen, Bjorn 16 2001 The analytic continuation and the order estimate of multiple Dirichlet series. Zbl 1050.11082 Matsumoto, Kohji; Tanigawa, Yoshio 16 2003 Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326 Zudilin, Wadim 16 2003 Normal integral bases in Kummer extensions of prime degree. (Bases normales d’entiers dans les extensions de Kummer de degré premier.) Zbl 0822.11076 Gómez Ayala, E. J. 16 1994 The distribution of the sum-of-digits function. Zbl 0916.11049 Drmota, Michael; Gajdosik, Johannes 16 1998 Effective bounds for certain functions concerning prime numbers. (Bornes effectives pour certaines fonctions concernant les nombres premiers.) Zbl 0856.11043 Massias, Jean-Pierre; Robin, Guy 15 1996 Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Zbl 1067.11042 Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz 15 2002 The correspondence between Barsotti-Tate groups and Kisin modules when \(p=2\). Zbl 1327.14206 Liu, Tong 15 2013 On classical weight one forms in Hida families. Zbl 1271.11060 Dimitrov, Mladen; Ghate, Eknath 15 2012 On Robin’s criterion for the Riemann hypothesis. Zbl 1163.11059 Choie, YoungJu; Lichiardopol, Nicolas; Moree, Pieter; Solé, Patrick 15 2007 Elliptic curves with \(\mathbb Q({\mathcal E}[3])=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9. Zbl 1216.11064 Paladino, Laura 15 2010 Embedding orders into central simple algebras. Zbl 1272.11126 Linowitz, Benjamin; Shemanske, Thomas R. 15 2012 On the local Langlands conjecture for \(\text{GL}_n\). (Sur la conjecture de Langlands locale pour \(\text{GL}_n\).) Zbl 1048.11093 Henniart, Guy 15 2001 Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031 Lemmermeyer, Franz 15 1997 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033 Flammang, V.; Rhin, G.; Smyth, C. J. 15 1997 The analytic order of Ш for modular elliptic curves. Zbl 0795.14016 Cremona, J. E. 15 1993 Prime geodesic theorem. Zbl 1028.11030 Cai, Yingchun 15 2002 Odd perfect polynomials over \(\mathbb F_2\). Zbl 1145.11081 Gallardo, Luis H.; Rahavandrainy, Olivier 15 2007 On the delta set of a singular arithmetical congruence monoid. Zbl 1203.20057 Baginski, Paul; Chapman, Scott T.; Schaeffer, George J. 14 2008 On the slopes of the \(U_5\) operator acting on overconvergent modular forms. Zbl 1211.11059 Kilford, L. J. P. 14 2008 Finite automata and algebraic extensions of functions fields. Zbl 1161.11317 Kedlaya, Kiran S. 14 2006 On the Olson and the strong Davenport constants. Zbl 1252.11011 Ordaz, Oscar; Philipp, Andreas; Santos, Irene; Schmid, Wolfgang A. 14 2011 Signed bits and fast exponentiation. Zbl 1060.11082 Bosma, Wieb 14 2001 The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large. Zbl 1153.11313 Kloosterman, Remke 14 2005 Asymptotics of number fields and the Cohen-Lenstra heuristics. Zbl 1142.11078 Klüners, Jürgen 14 2006 Constructing elliptic curves over finite fields using double eta-quotients. Zbl 1072.11039 Enge, Andreas; Schertz, Reinhard 13 2004 A characterization of class groups via sets of lengths. II. Zbl 1410.11121 Geroldinger, Alfred; Zhong, Qinghai 13 2017 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019 Colliot-Thélène, Jean-Louis 13 2014 Almost powers in the Lucas sequence. Zbl 1204.11030 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 13 2008 Representation of finite abelian group elements by subsequence sums. Zbl 1214.11034 Grynkiewicz, David J.; Marchan, Luz E.; Ordaz, Oscar 13 2009 A local-global principle for rational isogenies of prime degree. Zbl 1276.11095 Sutherland, Andrew V. 13 2012 Multiplicative functions and \(k\)-automatic sequences. Zbl 1002.11025 Yazdani, Soroosh 13 2001 Reflexion theorems. (Théorèmes de réflexion.) Zbl 0949.11058 Gras, Georges 13 1998 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078 Stevenhagen, Peter 13 2003 Differences in sets of lengths of Krull monoids with finite class group. Zbl 1090.20034 Schmid, Wolfgang A. 13 2005 A fast algorithm for polynomial factorization over \(\mathbb Q_p\). Zbl 1032.11053 Ford, David; Pauli, Sebastian; Roblot, Xavier-François 13 2002 On certain Drinfeld modular forms of higher rank. Zbl 1434.11101 Basson, Dirk; Breuer, Florian 13 2017 Unit reducible fields and perfect unary forms. Zbl 07824611 Leibak, Alar; Porter, Christian; Ling, Cong 1 2024 The Manin-Drinfeld theorem and the rationality of Rademacher symbols. Zbl 1515.11048 Burrin, Claire 3 2023 Control theorems for fine Selmer groups. Zbl 1525.11131 Kundu, Debanjana; Lim, Meng Fai 3 2023 Approximation of values of algebraic elements over the ring of power sums. Zbl 1520.11067 Fuchs, Clemens; Heintze, Sebastian 2 2023 Factoring Gleason polynomials modulo 2. Zbl 1514.37061 Buff, Xavier; Floyd, William; Koch, Sarah; Parry, Walter 2 2023 Galois representations over pseudorigid spaces. Zbl 1537.11076 Bellovin, Rebecca 2 2023 Classical forms of weight one in ordinary families. Zbl 1540.11059 Stubley, Eric 1 2023 On genera containing non-split Eichler orders over function fields. Zbl 1516.14062 Arenas-Carmona, Luis; Bravo, Claudio 1 2023 Linear relations of Siegel Poincaré series and non-vanishing of the central values of spinor \(L\)-functions. Zbl 1521.11031 Wei, Zhining 1 2023 Polynomial approximations in a generalized Nyman-Beurling criterion. Zbl 1528.41047 Alouges, François; Darses, Sébastien; Hillion, Erwan 1 2023 Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers. Zbl 1509.05027 Bényi, Beáta; Matsusaka, Toshiki 1 2023 New \(p\)-adic hypergeometric functions and syntomic regulators. Zbl 07750325 Asakura, Masanori 1 2023 On the bias of a probability law for brittle integers. (Sur le biais d’une loi de probabilité relative aux entiers friables.) Zbl 07750328 Tenenbaum, Gérald 1 2023 \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation. Zbl 07750329 Bennett, Michael A.; Michaud-Jacobs, Philippe; Siksek, Samir 1 2023 On a probabilistic local-global principle for torsion on elliptic curves. Zbl 1498.14090 Cullinan, John; Kenney, Meagan; Voight, John 5 2022 Notes on the dual of the ideal class groups of CM-fields. Zbl 1492.11149 Kurihara, Masato 5 2022 Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\). Zbl 1497.11152 Lei, Antonio; Lim, Meng Fai 4 2022 Explicit \(L^2\) bounds for the Riemann \(\zeta\) function. Zbl 1495.11100 Dona, Daniele; Helfgott, Harald A.; Alterman, Sebastian Zuniga 3 2022 Perfectoid Drinfeld modular forms. Zbl 1504.11063 Nicole, Marc-Hubert; Rosso, Giovanni 3 2022 On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. Zbl 1489.11081 Agboola, Adebisi; Castella, Francesc 3 2022 Spherical varieties and norm relations in Iwasawa theory. Zbl 1497.11130 Loeffler, David 2 2022 On the theory of Kolyvagin systems of rank 0. Zbl 1497.11139 Sakamoto, Ryotaro 2 2022 Controlling \(\lambda\)-invariants for the double and triple product \(p\)-adic \(L\)-functions. Zbl 1512.11082 Delbourgo, Daniel; Gilmore, Hamish 2 2022 Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve. Zbl 1496.11081 Kezuka, Yukako 2 2022 A note on finite embedding problems with nilpotent kernel. Zbl 07607142 Fehm, Arno; Legrand, François 2 2022 Integral points on affine quadric surfaces. Zbl 1502.11075 Santens, Tim 1 2022 On a bounded remainder set for a digital Kronecker sequence. Zbl 1506.11104 Levin, Mordechay B. 1 2022 Effect of increasing the ramification on pseudo-deformation rings. Zbl 1501.11060 Deo, Shaunak V. 1 2022 Bad places for the approximation property for finite groups. Zbl 1519.11065 Rivera-Mesas, Felipe 1 2022 Chromatic Selmer groups and arithmetic invariants of elliptic curves. Zbl 1489.11098 Sprung, Florian Ito 1 2022 A geometric view on Iwasawa theory. Zbl 1497.11115 Betina, Adel; Dimitrov, Mladen 1 2022 Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves. Zbl 1497.11171 Hamidi, Parham; Ray, Jishnu 1 2022 Root number of the Jacobian of \(y^2 = x^p+a\). Zbl 1527.11051 Bisatt, Matthew 1 2022 The natural extension of the Gauss map and the Hermite best approximations. Zbl 1508.11073 Chevallier, Nicolas 1 2022 \(p\)-adic dynamics of Hecke operators on modular curves. Zbl 1477.11081 Goren, Eyal Z.; Kassaei, Payman L. 4 2021 Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring. Zbl 1473.11120 Cojocaru, Alina Carmen; Jones, Nathan 3 2021 Quantitative Diophantine approximation with congruence conditions. Zbl 1472.11210 Alam, Mahbub; Ghosh, Anish; Yu, Shucheng 3 2021 Zeta-like multizeta values for higher genus curves. Zbl 1532.11117 Lara Rodríguez, José Alejandro; Thakur, Dinesh S. 3 2021 Differential \((\varphi,\tau)\)-modules and potentially semi-stable representations. (\((\varphi,\tau)\)-modules différentiels et représentations potentiellement semi-stables.) Zbl 1479.11204 Poyeton, Léo 1 2021 Motivic Galois representations valued in spin groups. Zbl 1477.11112 Tang, Shiang 1 2021 The Chevalley-Gras formula over global fields. Zbl 1465.11217 Li, Jianing; Yu, Chia-Fu 8 2020 A transference principle for simultaneous rational approximation. Zbl 1460.11100 Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien 7 2020 On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. Zbl 1459.11148 Baier, Stephan; Technau, Marc 6 2020 \(\ell\)-torsion in class groups of certain families of \(D_4\)-quartic fields. Zbl 1453.11136 An, Chen 6 2020 Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s \(p\)-rationality conjecture. Zbl 1460.11131 Barbulescu, Razvan; Ray, Jishnu 6 2020 Partial sums of the cotangent function. Zbl 1477.11142 Bettin, Sandro; Drappeau, Sary 5 2020 A step beyond Freiman’s theorem for set addition modulo a prime. Zbl 1459.11202 Candela, Pablo; Serra, Oriol; Spiegel, Christoph 5 2020 On Selberg’s central limit theorem for Dirichlet \(L\)-functions. Zbl 1465.11180 Hsu, Po-Han; Wong, Peng-Jie 4 2020 Root number of twists of an elliptic curve. Zbl 1459.11133 Desjardins, Julie 4 2020 A note on Misiurewicz polynomials. Zbl 1460.11124 Goksel, Vefa 4 2020 The upper density of an automatic set is rational. Zbl 1465.11079 Bell, Jason P. 4 2020 Cohen-Lenstra moments for some nonabelian groups. Zbl 1466.11083 Alberts, Brandon 3 2020 Reduction of certain crystalline representations and local constancy in the weight space. Zbl 1473.11114 Bhattacharya, Shalini 3 2020 An improved bound on the least common multiple of polynomial sequences. Zbl 1469.11377 Sah, Ashwin 2 2020 Greenberg algebras and ramified Witt vectors. Zbl 1460.13034 Bertapelle, Alessandra; Candilera, Maurizio 2 2020 The endomorphism ring of projectives and the Bernstein centre. Zbl 1468.22021 Pyvovarov, Alexandre 2 2020 Linear relations with conjugates of a Salem number. Zbl 1452.11129 Dubickas, Artūras; Jankauskas, Jonas 2 2020 The characteristic masses of Niemeier lattices. Zbl 1465.11121 Chenevier, Gaëtan 2 2020 On short sums involving Fourier coefficients of Maass forms. Zbl 1458.11073 Jääsaari, Jesse 1 2020 Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields. Zbl 1470.11164 Salami, Sajad 1 2020 Quartic Salem numbers which are Mahler measures of non-reciprocal 2-Pisot numbers. Zbl 1461.11142 Zaïmi, Toufik 1 2020 Rational equivalences on products of elliptic curves in a family. Zbl 1460.14019 Love, Jonathan 1 2020 Ramanujan-Bernoulli numbers as moments of Racah polynomials. Zbl 1469.11035 Chapoton, Frédéric 1 2020 On finiteness of odd superperfect numbers. Zbl 1469.11011 Yamada, Tomohiro 1 2020 Computation of étale cohomology on curves in single exponential time. Zbl 1464.14024 Jin, Jinbi 1 2020 Multipliers and invariants of endomorphisms of projective space in dimension greater than 1. Zbl 1454.37097 Hutz, Benjamin 1 2020 Rational points in their fiber: complements to a theorem of Poonen. (Points rationnels dans leur fibre : compléments à un théorème de Poonen.) Zbl 1456.14028 Moret-Bailly, Laurent 1 2020 Oscillatory integrals with uniformity in parameters. Zbl 1447.41015 Kıral, Eren Mehmet; Petrow, Ian; Young, Matthew P. 20 2019 On the few products, many sums problem. Zbl 1454.11025 Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 18 2019 On the sum of the first \(n\) prime numbers. Zbl 1452.11112 Axler, Christian 6 2019 Genuine Bianchi modular forms of higher level at varying weight and discriminant. Zbl 1466.11027 Rahm, Alexander D.; Tsaknias, Panagiotis 6 2019 \(F\)-sets and finite automata. Zbl 1475.11038 Bell, Jason; Moosa, Rahim 5 2019 Conjugacy classes of finite subgroups of \(\mathrm{SL}(2,F)\), \(\mathrm{SL}(3,\bar{F})\). Zbl 1441.14150 Flicker, Yuval Z. 5 2019 On binary cubic and quartic forms. Zbl 1478.11061 Xiao, Stanley Yao 4 2019 On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) Zbl 1457.11098 de Mathan, Bernard 4 2019 Kolyvagin’s result on the vanishing of \(Ш(E/K)[p^\infty]\) and its consequences for anticyclotomic Iwasawa theory. Zbl 1457.11078 Matar, Ahmed; Nekovář, Jan 4 2019 Generalized Perron identity for broken lines. Zbl 1460.11097 Karpenkov, Oleg; van-Son, Matty 4 2019 Digital nets in dimension two with the optimal order of \(L_p\) discrepancy. Zbl 1465.11171 Kritzinger, Ralph; Pillichshammer, Friedrich 3 2019 Automaticity of the sequence of the last nonzero digits of \(n!\) in a fixed base. Zbl 1475.11039 Lipka, Eryk 3 2019 Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula. Zbl 1445.11025 Anni, Samuele; Böckle, Gebhard; Gräf, Peter; Troya, Álvaro 3 2019 Generating functions for multiple zeta star values. Zbl 1454.11164 Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 2 2019 A measure of transcendence for singular points on conics. Zbl 1459.11152 Roy, Damien 2 2019 On the spectrum of irrationality exponents of Mahler numbers. Zbl 1452.11087 Badziahin, Dzmitry 2 2019 Higher congruences between newforms and Eisenstein series of squarefree level. Zbl 1444.11077 Hsu, Catherine M. 2 2019 Abelian varieties isogenous to a power of an elliptic curve over a Galois extension. Zbl 1469.14093 Vogt, Isabel 2 2019 A necessary and sufficient condition for an algebraic integer to be a Salem number. Zbl 1453.11135 Stankov, Dragan 2 2019 On class numbers of division fields of abelian varieties. Zbl 1471.11274 Garnek, Jędrzej 2 2019 A logarithmic improvement in the Bombieri-Vinogradov theorem. Zbl 1459.11180 Sedunova, Alisa 2 2019 On the cyclic torsion of elliptic curves over cubic number fields. II. Zbl 1477.11116 Wang, Jian 2 2019 Near counterexamples to Weil’s converse theorem. Zbl 1457.11059 Steiner, Raphael S. 1 2019 Deligne-Illusie classes as arithmetic Kodaira-Spencer classes. Zbl 1471.14057 Dupuy, Taylor; Zureick-Brown, David 1 2019 On incidences of \(\varphi\) and \(\sigma\) in the function field setting. Zbl 1445.11104 Meisner, Patrick 1 2019 Biases in prime factorizations and Liouville functions for arithmetic progressions. Zbl 1472.11042 Humphries, Peter; Shekatkar, Snehal M.; Wong, Tian An 1 2019 Quadratic rational functions with a rational periodic critical point of period 3. Zbl 1451.37118 Vishkautsan, Solomon 1 2019 On the Harborth constant of \(C_3 \oplus C_{3p}\). Zbl 1505.11040 Guillot, Philippe; Marchan, Luz E.; Ordaz, Oscar; Schmid, Wolfgang A.; Zerdoum, Hanane 1 2019 On the \(p\)-rank of the ideal class group of a normal extension with simple Galois group. Zbl 1460.11133 Konomi, Yutaka 1 2019 Normal largest gap between prime factors. Zbl 1462.11078 Tenenbaum, Gérald 1 2019 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255 Tao, Terence; Teräväinen, Joni 21 2018 Mahler’s method, transcendence and linear relations: effective aspects. (Méthode de Mahler, transcendance et relations linéaires: aspects effectifs.) Zbl 1441.11179 Adamczewski, Boris; Faverjon, Colin 16 2018 Finite \(\Lambda\)-submodules of Iwasawa modules for a CM-field for \(p = 2\). Zbl 1435.11137 Atsuta, Mahiro 10 2018 ...and 826 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,106 Authors 49 Shparlinski, Igor E. 31 Geroldinger, Alfred 26 Komatsu, Takao 26 Laurinčikas, Antanas 25 Bugeaud, Yann 24 Zhang, Wenpeng 23 Adamczewski, Boris 23 Luca, Florian 22 Jaulent, Jean-François 21 Berthé, Valérie 19 Dubickas, Artūras 19 Shallit, Jeffrey Outlaw 19 Thuswaldner, Jörg Maximilian 18 Schmid, Wolfgang Alexander 17 Gallardo, Luis Henri 17 Gras, Georges 16 Grynkiewicz, David J. 16 Reutenauer, Christophe 16 Rivoal, Tanguy 16 Togbé, Alain 16 Voight, John Michael 16 Zudilin, Wadim 15 Chapman, Scott Thomas 15 Pelantová, Edita 14 Browning, Timothy Daniel 14 Dujella, Andrej 14 Maire, Christian 14 Sutherland, Andrew V. 14 Tao, Terence 13 Bell, Jason P. 13 Cohen, Henri 13 Fischler, Stéphane 13 Fujita, Yasutsugu 13 Ichimura, Humio 13 Matomäki, Kaisa 13 Teräväinen, Joni 13 Zaharescu, Alexandru 12 Banks, William David 12 Bennett, Michael A. 12 Fuchs, Clemens 12 Kim, Taekyun 12 König, Joachim 12 Louboutin, Stéphane R. 12 Nart, Enric 12 Ramaré, Olivier 12 Zhong, Qinghai 11 Allouche, Jean-Paul Simon 11 Lei, Antonio 11 Masáková, Zuzana 11 Papikian, Mihran 11 Rahavandrainy, Olivier 11 Shlapentokh, Alexandra 11 Siksek, Samir 11 Simmons, David 10 Akiyama, Shigeki 10 Bényi, Beáta 10 Byott, Nigel P. 10 de la Bretèche, Régis 10 Fieker, Claus 10 Jennings-Shaffer, Chris 10 Kim, Dae San 10 Koo, Jakyung 10 Matsumoto, Kohji 10 Najman, Filip 10 Tan, Bo 10 Voskresenskaya, Galina Valentinovna 10 Vuillon, Laurent 10 Wood, Melanie Matchett 10 Zhai, Wenguang 9 Bayer-Fluckiger, Eva 9 Blomer, Valentin 9 Chabert, Jean-Luc 9 Gekeler, Ernst-Ulrich 9 Ghioca, Dragos 9 Ghosh, Anish 9 Gillibert, Jean 9 Hidalgo, Rubén Antonio 9 Jones, Lenny K. 9 Khan, Waseem Ahmad 9 Klüners, Jürgen 9 Lalín, Matilde Noemí 9 Lee, Yoonjin 9 Madritsch, Manfred G. 9 Mao, Renrong 9 Miller, Steven J. 9 Mizusawa, Yasushi 9 Morain, François 9 Moree, Pieter 9 Nicolas, Jean-Louis 9 Pethő, Attila 9 Rigo, Michel 9 Tsumura, Hirofumi 9 Young, Matthew P. 9 Zureick-Brown, David 8 Arenas-Carmona, Luis 8 Benjamin, Elliot 8 Bley, Werner 8 Borel, Jean-Pierre 8 Bröker, Reinier 8 Cipu, Mihai ...and 4,006 more Authors all top 5 Cited in 431 Journals 434 Journal of Number Theory 276 Journal de Théorie des Nombres de Bordeaux 185 International Journal of Number Theory 120 Mathematics of Computation 109 Acta Arithmetica 108 The Ramanujan Journal 87 Theoretical Computer Science 84 Journal of Algebra 84 Transactions of the American Mathematical Society 63 Research in Number Theory 60 Proceedings of the American Mathematical Society 57 Annales de l’Institut Fourier 56 Mathematische Annalen 54 Monatshefte für Mathematik 53 Mathematische Zeitschrift 51 Advances in Mathematics 47 Journal of Pure and Applied Algebra 46 Functiones et Approximatio. 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English Series 10 Advances in Difference Equations 9 Discrete Applied Mathematics 9 Journal of the Mathematical Society of Japan 9 Nagoya Mathematical Journal 9 Pacific Journal of Mathematics 9 Topology and its Applications 9 Journal of Complexity 9 Foundations of Computational Mathematics ...and 331 more Journals all top 5 Cited in 58 Fields 3,972 Number theory (11-XX) 725 Algebraic geometry (14-XX) 378 Computer science (68-XX) 271 Dynamical systems and ergodic theory (37-XX) 257 Group theory and generalizations (20-XX) 223 Combinatorics (05-XX) 204 Field theory and polynomials (12-XX) 166 Commutative algebra (13-XX) 141 Information and communication theory, circuits (94-XX) 127 Special functions (33-XX) 90 Associative rings and algebras (16-XX) 85 Measure and integration (28-XX) 81 Functions of a complex variable (30-XX) 72 Convex and discrete geometry (52-XX) 72 Probability theory and stochastic processes (60-XX) 60 Topological groups, Lie groups (22-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 44 Numerical analysis (65-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 39 Mathematical logic and foundations (03-XX) 34 \(K\)-theory (19-XX) 31 Quantum theory (81-XX) 30 Ordinary differential equations (34-XX) 29 Approximations and expansions (41-XX) 27 Several complex variables and analytic spaces (32-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Real functions (26-XX) 19 Sequences, series, summability (40-XX) 18 Nonassociative rings and algebras (17-XX) 18 Difference and functional equations (39-XX) 18 Manifolds and cell complexes (57-XX) 16 History and biography (01-XX) 15 Functional analysis (46-XX) 15 Statistics (62-XX) 14 Abstract harmonic analysis (43-XX) 14 Differential geometry (53-XX) 13 General and overarching topics; collections (00-XX) 13 General topology (54-XX) 12 Operator theory (47-XX) 12 Geometry (51-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Partial differential equations (35-XX) 8 Algebraic topology (55-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General algebraic systems (08-XX) 6 Category theory; homological algebra (18-XX) 6 Operations research, mathematical programming (90-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Mechanics of deformable solids (74-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year