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: Indexed cover-to-cover; This journal is available open access Documents Indexed: 1,168 Publications (since 1993) References Indexed: 1,155 Publications with 20,056 References. all top 5 Latest Issues 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 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 Shparlinski, Igor E. 5 Siksek, Samir 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 Shallit, Jeffrey O. 4 Solé, Patrick 4 Stevenhagen, Peter 4 Verger-Gaugry, Jean-Louis 4 Zaïmi, Toufik Mostepha 3 Abrashkin, Viktor Aleksandrovich 3 Achter, Jeffrey D. 3 Bayer-Fluckiger, Eva 3 Belabas, Karim 3 Bell, Jason P. 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 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 Laubie, François 3 Laurinčikas, Antanas 3 Lei, Antonio 3 Levin, Aaron 3 Moree, Pieter 3 Ordaz, Oscar 3 Pharamond dit d’Costa, Layla 3 Pillichshammer, Friedrich 3 Pohst, Michael E. 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 Thakur, Dinesh S. 3 Togbé, Alain 3 van der Poorten, Alfred J. 3 van Hoeij, Mark 3 Voloch, José Felipe 3 Watkins, Mark James 3 Wu, Jie 3 Yamauchi, Takuya 3 Zudilin, Wadim 2 Adam, Brigitte 2 Adam, David 2 Adamczewski, Boris 2 Agboola, Adebisi ...and 1,169 more Authors all top 5 Fields 1,088 Number theory (11-XX) 205 Algebraic geometry (14-XX) 48 Group theory and generalizations (20-XX) 46 Field theory and polynomials (12-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Computer science (68-XX) 29 Commutative algebra (13-XX) 27 Combinatorics (05-XX) 22 Special functions (33-XX) 12 Information and communication theory, circuits (94-XX) 11 Topological groups, Lie groups (22-XX) 11 Probability theory and stochastic processes (60-XX) 10 General and overarching topics; collections (00-XX) 10 Associative rings and algebras (16-XX) 8 Measure and integration (28-XX) 8 Convex and discrete geometry (52-XX) 6 History and biography (01-XX) 6 \(K\)-theory (19-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-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 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-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 842 Publications have been cited 4,525 times in 3,809 Documents Cited by ▼ Year ▼ Counting points on elliptic curves over finite fields. Zbl 0852.11073Schoof, René 93 1995 Integers without large prime factors. Zbl 0797.11070Hildebrand, Adolf; Tenenbaum, Gérald 92 1993 Poly-Bernoulli numbers. Zbl 0887.11011Kaneko, Masanobou 92 1997 On the mean values of Dedekind sums. Zbl 0871.11033Zhang, Wenpeng 55 1996 Certain words on the real projective line. (Quelques mots sur la droite projective réelle.) Zbl 0839.11008Borel, J.-P.; Laubie, F. 52 1993 Sturmian morphisms and Rauzy’s rules. (Morphismes sturmiens et règles de Rauzy.) Zbl 0797.11029Mignosi, Filippo; Séébold, Patrice 47 1993 Substitution invariant cutting sequences. Zbl 0786.11041Crisp, D.; Moran, W.; Pollington, A.; Shiue, P. 43 1993 Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037Waldschmidt, Michel 34 2000 Global \(\ell\)-adique clean field theory. (Théorie \(\ell\)-adique globale du corps de classes.) Zbl 0938.11052Jaulent, Jean-François 32 1998 Class invariants by Shimura’s reciprocity law. Zbl 0957.11048Gee, Alice 31 1999 Limit theorems for the Matsumoto zeta-function. Zbl 0859.11053Laurinčikas, Antanas 31 1996 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 30 1994 \(M_2\)-rank differences for partitions without repeated odd parts. Zbl 1270.11103Lovejoy, Jeremy; Osburn, Robert 30 2009 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327Zudilin, Wadim 30 2004 Logarithmic classes of number fields. (Classes logarithmiques des corps de nombres.) Zbl 0827.11064Jaulent, Jean-François 29 1994 Points of bounded height, adelic topology and Tamagawa measures. (Points de hauteur bornée, topologie adélique et mesures de Tamagawa.) Zbl 1057.14031Peyre, Emmanuel 27 2003 Restriction theory of the Selberg sieve, with applications. Zbl 1135.11049Green, Ben; Tao, Terence 26 2006 Diophantine \(m\)-tuples and elliptic curves. Zbl 1046.11034Dujella, Andrej 25 2001 ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation. (ARI/GARI, la dimorphie et l’arithmétique des multizêtas: un premier bilan.) Zbl 1094.11032Ecalle, Jean 25 2003 Computing fundamental domains for Fuchsian groups. Zbl 1222.11057Voight, John 24 2009 Prefix-suffix automaton associated with a primitive substitution. (Automate des préfixes-suffixes associé à une substitution primitive.) Zbl 1071.37011Canterini, Vincent; Siegel, Anne 24 2001 The catenary degree of Krull monoids. I. Zbl 1253.11101Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. 23 2011 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131Guàrdia, Jordi; Montes, Jesús; Nart, Enric 23 2011 On sums of Hecke series in short intervals. Zbl 0994.11020Ivić, Aleksandar 23 2001 No 17-torsion on elliptic curves over cubic number fields. Zbl 1072.11037Parent, Pierre 23 2003 On approximation by Lüroth series. Zbl 0870.11039Dajani, Karma; Kraaikamp, Cor 23 1996 Classical and overconvergent modular forms of higher level. Zbl 0942.11025Coleman, Robert F. 23 1997 Determinants of matrices related to the Pascal triangle. Zbl 1023.11011Bacher, Roland 22 2002 Weber’s class invariants revisited. Zbl 1022.11056Schertz, Reinhard 21 2002 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 21 2005 Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution. (Propriétés combinatoires, ergodiques et arithmétiques de la substitution de Tribonacci.) Zbl 1038.37010Chekhova, Nataliya; Hubert, Pascal; Messaoudi, Ali 21 2001 Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011Geroldinger, Alfred; Hamidoune, Yahya Ould 20 2002 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002Colliot-Thélène, Jean-Louis 20 1995 Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068Halter-Koch, Franz 20 1995 On the Galois group of generalized Laguerre polynomials. Zbl 1094.11042Hajir, Farshid 19 2005 Analytical construction of Weil curves over function fields. Zbl 0846.11037Gekeler, Ernst-Ulrich 19 1995 Ramification groups in Artin-Schreier-Witt extensions. Zbl 1207.11109Thomas, Lara 18 2005 Arithmetic and dynamical properties of the Rauzy fractal. (Propriétés arithmétiques et dynamiques du fractal de Rauzy.) Zbl 0918.11048Messaoudi, Ali 18 1998 On the binary expansions of algebraic numbers. Zbl 1076.11045Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl 18 2004 Counting discriminants of number fields. Zbl 1193.11109Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 17 2006 \(p\)-rational fields, \(p\)-regular fields and restricted ramification. (Corps \(p\)-rationnels, corps \(p\) réguliers, et ramification restreinte.) Zbl 0957.11046Jaulent, Jean-François; Nguyen Quang Do, T. 17 1993 Normal integral bases in Kummer extensions of prime degree. (Bases normales d’entiers dans les extensions de Kummer de degré premier.) Zbl 0822.11076Gómez Ayala, E. J. 16 1994 Rotation encoding and self-similarity phenomenon. (Codages de rotations et phénomènes d’autosimilarité.) Zbl 1113.37003Adamczewski, Boris 16 2002 Lucas and Lehmer numbers without primitive divisor. (Les nombres de Lucas et Lehmer sans diviseur primitif.) Zbl 1139.11011Abouzaid, Mourad 16 2006 Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016Thuswaldner, Jörg M. 16 2006 Prime geodesic theorem. Zbl 1028.11030Cai, Yingchun 15 2002 On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052Lemmermeyer, Franz 15 1994 Automatic congruences for diagonals of rational functions. Zbl 1384.11003Rowland, Eric; Yassawi, Reem 15 2015 On Drinfeld modular forms of higher rank. I. Zbl 1411.11041Gekeler, Ernst-Ulrich 15 2017 The analytic order of Ш for modular elliptic curves. Zbl 0795.14016Cremona, J. E. 15 1993 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 15 1997 Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications. Zbl 0889.11040Byott, Nigel P. 15 1997 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 0843.11030Morain, François 15 1995 Additive properties of dense subsets of sifted sequences. Zbl 0996.11057Ramaré, Olivier; Ruzsa, Imre Z. 15 2001 Topics in computational algebraic number theory. Zbl 1078.11071Belabas, Karim 15 2004 On the local Langlands conjecture for \(\text{GL}_n\). (Sur la conjecture de Langlands locale pour \(\text{GL}_n\).) Zbl 1048.11093Henniart, Guy 14 2001 Arithmetic and dynamical degrees on abelian varieties. Zbl 1416.11091Silverman, Joseph H. 14 2017 On classical weight one forms in Hida families. Zbl 1271.11060Dimitrov, Mladen; Ghate, Eknath 14 2012 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255Tao, Terence; Teräväinen, Joni 14 2018 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2000 The distribution of the sum-of-digits function. Zbl 0916.11049Drmota, Michael; Gajdosik, Johannes 14 1998 Effective bounds for certain functions concerning prime numbers. (Bornes effectives pour certaines fonctions concernant les nombres premiers.) Zbl 0856.11043Massias, Jean-Pierre; Robin, Guy 14 1996 The analytic continuation and the order estimate of multiple Dirichlet series. Zbl 1050.11082Matsumoto, Kohji; Tanigawa, Yoshio 14 2003 Signed bits and fast exponentiation. Zbl 1060.11082Bosma, Wieb 13 2001 Odd perfect polynomials over \(\mathbb F_2\). Zbl 1145.11081Gallardo, Luis H.; Rahavandrainy, Olivier 13 2007 Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim 13 2005 The correspondence between Barsotti-Tate groups and Kisin modules when \(p=2\). Zbl 1327.14206Liu, Tong 13 2013 Factoring polynomials over global fields. Zbl 1254.11116Belabas, Karim; van Hoeij, Mark; Klüners, Jürgen; Steel, Allan 13 2009 Field of moduli versus field of definition for cyclic covers of the projective line. Zbl 1201.14020Kontogeorgis, Aristides 13 2009 Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031Lemmermeyer, Franz 13 1997 Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Zbl 1067.11042Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz 13 2002 Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326Zudilin, Wadim 13 2003 Maximal unramified extensions of imaginary quadratic number fields of small conductors. Zbl 0905.11048Yamamura, Ken 13 1997 Differences in sets of lengths of Krull monoids with finite class group. Zbl 1090.20034Schmid, Wolfgang A. 13 2005 An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038Poonen, Bjorn 12 2001 On the slopes of the \(U_5\) operator acting on overconvergent modular forms. Zbl 1211.11059Kilford, L. J. P. 12 2008 The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large. Zbl 1153.11313Kloosterman, Remke 12 2005 Embedding orders into central simple algebras. Zbl 1272.11126Linowitz, Benjamin; Shemanske, Thomas R. 12 2012 A characterization of class groups via sets of lengths. II. Zbl 1410.11121Geroldinger, Alfred; Zhong, Qinghai 12 2017 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019Colliot-Thélène, Jean-Louis 12 2014 On the Olson and the strong Davenport constants. Zbl 1252.11011Ordaz, Oscar; Philipp, Andreas; Santos, Irene; Schmid, Wolfgang A. 12 2011 On certain Drinfeld modular forms of higher rank. Zbl 1434.11101Basson, Dirk; Breuer, Florian 12 2017 Finite automata and algebraic extensions of functions fields. Zbl 1161.11317Kedlaya, Kiran S. 12 2006 Invariance properties of Sturmian words. (Propriétés d’invariance des mots sturmiens.) Zbl 0904.11008Parvaix, Bruno 12 1997 Construction of ray class fields by elliptic units. Zbl 0902.11047Schertz, Reinhard 12 1997 Elliptic curves with \(\mathbb Q({\mathcal E}[3])=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9. Zbl 1216.11064Paladino, Laura 11 2010 On Robin’s criterion for the Riemann hypothesis. Zbl 1163.11059Choie, YoungJu; Lichiardopol, Nicolas; Moree, Pieter; Solé, Patrick 11 2007 A fast algorithm for polynomial factorization over \(\mathbb Q_p\). Zbl 1032.11053Ford, David; Pauli, Sebastian; Roblot, Xavier-François 11 2002 On the delta set of a singular arithmetical congruence monoid. Zbl 1203.20057Baginski, Paul; Chapman, Scott T.; Schaeffer, George J. 11 2008 On universal norms in \(\mathbb{Z}_ p\)-extensions. (Sur les normes universelles dans les \(\mathbb{Z}_ p\)-extensions.) Zbl 0833.11051Greither, Cornelius 11 1994 A simple characterization of Sturm numbers. (Une caractérisation simple des nombres de Sturm.) Zbl 0930.11051Allauzen, Cyril 11 1998 The class number one problem for some non-abelian normal CM-fields of degree 24. Zbl 1010.11063Lemmermeyer, F.; Louboutin, S.; Okazaki, R. 11 1999 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 11 2000 Representation of finite abelian group elements by subsequence sums. Zbl 1214.11034Grynkiewicz, David J.; Marchan, Luz E.; Ordaz, Oscar 11 2009 Mean square of the remainder term in the Dirichlet divisor problem. Zbl 0844.11059Lau, Yuk-Kam; Tsang, Kai-Man 11 1995 An explicit formule for the Mahler measure of a family of 3-variable polynomials. Zbl 1071.11018Smyth, Chris J. 11 2002 Combinatorial properties of infinite words associated with cut-and-project sequences. Zbl 1076.68055Guimond, Louis-Sébastien; Masáková, Zuzana; Pelantová, Edita 11 2003 On sums of three squares. Zbl 1050.11043Cogdell, James W. 11 2003 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078Stevenhagen, Peter 11 2003 Constructing elliptic curves over finite fields using double eta-quotients. Zbl 1072.11039Enge, Andreas; Schertz, Reinhard 11 2004 Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\). Zbl 1497.11152Lei, Antonio; Lim, Meng Fai 3 2022 Perfectoid Drinfeld modular forms. Zbl 07469024Nicole, Marc-Hubert; Rosso, Giovanni 2 2022 On the theory of Kolyvagin systems of rank 0. Zbl 1497.11139Sakamoto, Ryotaro 2 2022 Explicit \(L^2\) bounds for the Riemann \(\zeta\) function. Zbl 1495.11100Dona, Daniele; Helfgott, Harald A.; Alterman, Sebastian Zuniga 2 2022 On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. Zbl 1489.11081Agboola, Adebisi; Castella, Francesc 1 2022 Notes on the dual of the ideal class groups of CM-fields. Zbl 1492.11149Kurihara, Masato 1 2022 Spherical varieties and norm relations in Iwasawa theory. Zbl 1497.11130Loeffler, David 1 2022 Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring. Zbl 1473.11120Cojocaru, Alina Carmen; Jones, Nathan 2 2021 Zeta-like multizeta values for higher genus curves. Zbl 07419997Lara Rodríguez, José Alejandro; Thakur, Dinesh S. 2 2021 A transference principle for simultaneous rational approximation. Zbl 1460.11100Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien 5 2020 The Chevalley-Gras formula over global fields. Zbl 1465.11217Li, Jianing; Yu, Chia-Fu 5 2020 On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. Zbl 1459.11148Baier, Stephan; Technau, Marc 4 2020 The upper density of an automatic set is rational. Zbl 1465.11079Bell, Jason P. 3 2020 \(\ell\)-torsion in class groups of certain families of \(D_4\)-quartic fields. Zbl 1453.11136An, Chen 3 2020 Root number of twists of an elliptic curve. Zbl 1459.11133Desjardins, Julie 3 2020 Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s \(p\)-rationality conjecture. Zbl 1460.11131Barbulescu, Razvan; Ray, Jishnu 3 2020 Partial sums of the cotangent function. Zbl 1477.11142Bettin, Sandro; Drappeau, Sary 3 2020 A step beyond Freiman’s theorem for set addition modulo a prime. Zbl 1459.11202Candela, Pablo; Serra, Oriol; Spiegel, Christoph 3 2020 Reduction of certain crystalline representations and local constancy in the weight space. Zbl 1473.11114Bhattacharya, Shalini 2 2020 A note on Misiurewicz polynomials. Zbl 1460.11124Goksel, Vefa 1 2020 Multipliers and invariants of endomorphisms of projective space in dimension greater than 1. Zbl 1454.37097Hutz, 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 1456.14028Moret-Bailly, Laurent 1 2020 The characteristic masses of Niemeier lattices. Zbl 1465.11121Chenevier, Gaëtan 1 2020 On Selberg’s central limit theorem for Dirichlet \(L\)-functions. Zbl 1465.11180Hsu, Po-Han; Wong, Peng-Jie 1 2020 Quartic Salem numbers which are Mahler measures of non-reciprocal 2-Pisot numbers. Zbl 1461.11142Zaïmi, Toufik 1 2020 An improved bound on the least common multiple of polynomial sequences. Zbl 1469.11377Sah, Ashwin 1 2020 The endomorphism ring of projectives and the Bernstein centre. Zbl 1468.22021Pyvovarov, Alexandre 1 2020 On finiteness of odd superperfect numbers. Zbl 1469.11011Yamada, Tomohiro 1 2020 On the few products, many sums problem. Zbl 1454.11025Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 8 2019 Oscillatory integrals with uniformity in parameters. Zbl 1447.41015Kıral, Eren Mehmet; Petrow, Ian; Young, Matthew P. 6 2019 On binary cubic and quartic forms. Zbl 1478.11061Xiao, Stanley Yao 4 2019 Kolyvagin’s result on the vanishing of \(Ш(E/K)[p^\infty]\) and its consequences for anticyclotomic Iwasawa theory. Zbl 1457.11078Matar, Ahmed; Nekovář, Jan 4 2019 Genuine Bianchi modular forms of higher level at varying weight and discriminant. Zbl 1466.11027Rahm, Alexander D.; Tsaknias, Panagiotis 4 2019 \(F\)-sets and finite automata. Zbl 1475.11038Bell, Jason; Moosa, Rahim 4 2019 On the sum of the first \(n\) prime numbers. Zbl 1452.11112Axler, Christian 3 2019 Digital nets in dimension two with the optimal order of \(L_p\) discrepancy. Zbl 1465.11171Kritzinger, Ralph; Pillichshammer, Friedrich 3 2019 A measure of transcendence for singular points on conics. Zbl 1459.11152Roy, Damien 2 2019 Higher congruences between newforms and Eisenstein series of squarefree level. Zbl 1444.11077Hsu, Catherine M. 2 2019 Conjugacy classes of finite subgroups of \(\mathrm{SL}(2,F)\), \(\mathrm{SL}(3,\bar{F})\). Zbl 1441.14150Flicker, Yuval Z. 2 2019 On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) Zbl 1457.11098de Mathan, Bernard 1 2019 On the spectrum of irrationality exponents of Mahler numbers. Zbl 1452.11087Badziahin, Dzmitry 1 2019 Abelian varieties isogenous to a power of an elliptic curve over a Galois extension. Zbl 1469.14093Vogt, Isabel 1 2019 A necessary and sufficient condition for an algebraic integer to be a Salem number. Zbl 1453.11135Stankov, Dragan 1 2019 On class numbers of division fields of abelian varieties. Zbl 1471.11274Garnek, Jędrzej 1 2019 Automaticity of the sequence of the last nonzero digits of \(n!\) in a fixed base. Zbl 1475.11039Lipka, Eryk 1 2019 A logarithmic improvement in the Bombieri-Vinogradov theorem. Zbl 1459.11180Sedunova, Alisa 1 2019 On the cyclic torsion of elliptic curves over cubic number fields. II. Zbl 1477.11116Wang, Jian 1 2019 On the \(p\)-rank of the ideal class group of a normal extension with simple Galois group. Zbl 1460.11133Konomi, Yutaka 1 2019 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255Tao, Terence; Teräväinen, Joni 14 2018 A note on the regularity of the Diophantine pair \(\{k, 4k \pm 4 \}\). Zbl 1446.11050He, Bo; Pu, Keli; Shen, Rulin; Togbé, Alain 6 2018 \(M(x) = o(x)\) estimates for Beurling numbers. Zbl 1443.11201Debruyne, Gregory; Diamond, Harold G.; Vindas, Jasson 5 2018 Mahler’s method, transcendence and linear relations: effective aspects. (Méthode de Mahler, transcendance et relations linéaires: aspects effectifs.) Zbl 1441.11179Adamczewski, Boris; Faverjon, Colin 5 2018 Some manifolds of Khinchin type for convergence. Zbl 1408.11068Simmons, David 5 2018 On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application. Zbl 1435.11043Kaneko, Masanobu; Sakurai, Fumi; Tsumura, Hirofumi 5 2018 Traces of Hecke operators on the spaces of level one and arbitrary weight of SO7, SO8 and SO9. (Traces des opérateurs de Hecke sur les espaces de formes automorphes de SO7, SO8 ou SO9 en niveau 1 et poids arbitraire.) Zbl 1443.11065Mégarbané, Thomas 5 2018 Short intervals asymptotic formulae for binary problems with prime powers. Zbl 1441.11261Languasco, Alessandro; Zaccagnini, Alessandro 4 2018 The Hasse norm principle for biquadratic extensions. Zbl 1441.11245Rome, Nick 4 2018 Finite \(\Lambda\)-submodules of Iwasawa modules for a CM-field for \(p = 2\). Zbl 1435.11137Atsuta, Mahiro 4 2018 Products of primes in arithmetic progressions: a footnote in parity breaking. Zbl 1435.11123Ramaré, Olivier; Walker, Aled 4 2018 An infinitesimal \(p\)-adic multiplicative Manin-Mumford conjecture. Zbl 1443.11247Serban, Vlad 3 2018 Hecke-Hilbert varieties of classic points with parallel weight 1. (Les variétés de Hecke-Hilbert aux points classiques de poids parallèle 1.) Zbl 1441.11131Betina, Adel 3 2018 Campana points, Vojta’s conjecture, and level structures on semistable abelian varieties. Zbl 1448.11145Abramovich, Dan; Várilly-Alvarado, Anthony 2 2018 Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules. Zbl 1442.11144Fujii, Satoshi; Itoh, Tsuyoshi 2 2018 Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7. Zbl 1441.11135Yoshikawa, Sho 2 2018 Newton-Okounkov bodies: an approach of function field arithmetic. Zbl 1420.14050Chen, Huayi 2 2018 Counting points on the Fricke-Macbeath curve over finite fields. Zbl 1408.11093Top, Jaap; Verschoor, Carlo 2 2018 Extensions of local fields and elementary symmetric polynomials. Zbl 1444.11234Keating, Kevin 1 2018 Waring-Goldbach problem with Piatetski-Shapiro primes. Zbl 1443.11207Akbal, Yıldırım; Güloğlu, Ahmet M. 1 2018 Class field theory for open curves over local fields. Zbl 1464.11119Hiranouchi, Toshiro 1 2018 Pseudorandomness of the Ostrowski sum-of-digits function. Zbl 1441.11014Spiegelhofer, Lukas 1 2018 Dihedral Galois representations and forms with complex multiplication. (Représentations galoisiennes diédrales et formes à multiplication complexe.) Zbl 1441.11132Billerey, Nicolas; Nuccio Mortarino Majno Di Capriglio, Filippo A. E. 1 2018 Perturbing Eisenstein polynomials over local fields. Zbl 1441.11294Keating, Kevin 1 2018 Deformation rings and parabolic induction. Zbl 1423.22019Hauseux, Julien; Schmidt, Tobias; Sorensen, Claus 1 2018 The pro-\(l\) outer Galois actions associated to modular curves of prime power level. Zbl 1420.14059Hoshi, Yuichiro; Iijima, Yu 1 2018 Some minimisation algorithms in arithmetic invariant theory. Zbl 1441.11141Fisher, Tom; Radičević, Lazar 1 2018 Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules. Zbl 1435.11138Itoh, Tsuyoshi 1 2018 On the class numbers of the fields of the \(p^n\)-torsion points of elliptic curves over \(\mathbb Q\). Zbl 1443.11101Sairaiji, Fumio; Yamauchi, Takuya 1 2018 On the number of perfect lattices. Zbl 1443.11132Bacher, Roland 1 2018 A variational open image theorem in positive characteristic. Zbl 1473.11127Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian 1 2018 On the genera of semisimple groups defined over an integral domain of a global function field. Zbl 1441.11289Bitan, Rony A. 1 2018 Galois ultrametric distribution of an isogeny class of elliptic curves: the case of bad reduction. An application to local heights. (Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques: le cas de la mauvaise réduction. Application aux hauteurs locales.) Zbl 1450.11054Richard, Rodolphe 1 2018 Ramified extensions of degree \(p\) and their Hopf-Galois module structure. Zbl 1432.11169Elder, G. Griffith 1 2018 A local-global criteria of affine varieties admitting points in rank-one subgroups of a global function field. Zbl 1468.14050Sun, Chia-Liang 1 2018 The large sieve with square norm moduli in \(\mathbb Z[i]\). Zbl 1408.11079Baier, Stephan 1 2018 Lower bounds for generalized unit regulators. Zbl 1408.11107Sundstrom, James 1 2018 Note on the Stern-Brocot sequence, some relatives, and their generating power series. Zbl 1428.11132Bundschuh, Peter; Väänänen, Keijo 1 2018 Igusa’s local zeta functions and exponential sums for arithmetically non degenerate polynomials. Zbl 1427.11134Albarracín-Mantilla, Adriana A.; León-Cardenal, Edwin 1 2018 On Drinfeld modular forms of higher rank. I. Zbl 1411.11041Gekeler, Ernst-Ulrich 15 2017 Arithmetic and dynamical degrees on abelian varieties. Zbl 1416.11091Silverman, Joseph H. 14 2017 A characterization of class groups via sets of lengths. II. Zbl 1410.11121Geroldinger, Alfred; Zhong, Qinghai 12 2017 On certain Drinfeld modular forms of higher rank. Zbl 1434.11101Basson, Dirk; Breuer, Florian 12 2017 On the density function of the distribution of real algebraic numbers. Zbl 1420.11126Koleda, Denis 9 2017 Special functions and twisted \(L\)-series. Zbl 1430.11127Anglès, Bruno; Dac, Tuan Ngo; Ribeiro, Floric Tavares 9 2017 Multizeta values for function fields: a survey. Zbl 1430.11119Thakur, Dinesh S. 7 2017 Distribution of factorials modulo \(p\). Zbl 1429.11037Klurman, Oleksiy; Munsch, Marc 5 2017 On finite Carlitz multiple polylogarithms. Zbl 1430.11125Chang, Chieh-Yu; Mishiba, Yoshinori 5 2017 Constraints on the automorphism group of a curve. Zbl 1388.14073González, Josep 4 2017 Semi-effective height bound for the Mordell-Lang problem in an abelian variety. (Borne de hauteur semi-effective pour le problème de Mordell-lang dans une variété abélienne.) Zbl 1416.11117von Buhren, Jérôme 3 2017 \(q\)-Bernoulli-Carlitz numbers and continued fractions. (Nombres de \(q\)-Bernoulli-Carlitz et fractions continues.) Zbl 1410.11014Chapoton, Frédéric; Zeng, Jiang 3 2017 Binary quadratic forms as dessins. Zbl 1420.11096Uludağ, A. Muhammed; Zeytin, Ayberk; Durmuş, Merve 3 2017 ...and 742 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,517 Authors 39 Shparlinski, Igor E. 29 Geroldinger, Alfred 23 Komatsu, Takao 23 Zhang, Wenpeng 20 Berthé, Valérie 20 Jaulent, Jean-François 19 Bugeaud, Yann 19 Luca, Florian 18 Laurinčikas, Antanas 18 Thuswaldner, Jörg Maximilian 17 Adamczewski, Boris 17 Schmid, Wolfgang Alexander 16 Gras, Georges 15 Dubickas, Artūras 15 Grynkiewicz, David J. 14 Chapman, Scott Thomas 14 Pelantová, Edita 14 Reutenauer, Christophe 14 Shallit, Jeffrey O. 14 Sutherland, Andrew V. 14 Zudilin, Wadim 13 Dujella, Andrej 13 Ichimura, Humio 13 Maire, Christian 13 Tao, Terence 13 Togbé, Alain 12 Fujita, Yasutsugu Fujita 12 Gallardo, Luis Henri 12 Louboutin, Stéphane R. 12 Nart, Enric 12 Rivoal, Tanguy 12 Voight, John Michael 11 Allouche, Jean-Paul Simon 11 Bennett, Michael A. 11 Browning, Timothy Daniel 11 Cohen, Henri 11 Fischler, Stéphane 11 Masáková, Zuzana 11 Rahavandrainy, Olivier 11 Zhong, Qinghai 10 Banks, William David 10 Bell, Jason P. 10 Byott, Nigel P. 10 Jennings-Shaffer, Chris 10 Kim, Taekyun 10 Koo, Jakyung 10 Lei, Antonio 10 Papikian, Mihran 10 Simmons, David 10 Tan, Bo 10 Voskresenskaya, Galina Valentinovna 10 Vuillon, Laurent 10 Zaharescu, Alexandru 9 Akiyama, Shigeki 9 Fuchs, Clemens 9 Ghioca, Dragos 9 Gillibert, Jean 9 Jones, Lenny K. 9 Kim, Dae San 9 König, Joachim 9 Madritsch, Manfred G. 9 Mao, Renrong 9 Matomäki, Kaisa Sofia 9 Matsumoto, Kohji 9 Mizusawa, Yasushi 9 Moree, Pieter 9 Najman, Filip 9 Ramaré, Olivier 9 Shlapentokh, Alexandra 9 Siksek, Samir 9 Zhai, Wenguang 8 Bayer-Fluckiger, Eva 8 de la Bretèche, Régis 8 Elder, Gove Griffith 8 Gekeler, Ernst-Ulrich 8 He, Bo 8 Hidalgo, Rubén Antonio 8 Justin, Jacques 8 Kim, Chang Heon 8 Lalín, Matilde Noemí 8 Lee, Yoonjin 8 Lemmermeyer, Franz Josef 8 Mayer, Daniel C. 8 Miller, Steven J. 8 Moghaddamfar, Ali Reza 8 Morain, François 8 Pillichshammer, Friedrich 8 Teräväinen, Joni 8 Verger-Gaugry, Jean-Louis 8 Zaïmi, Toufik Mostepha 7 Betina, Adel 7 Chabert, Jean-Luc 7 Cipu, Mihai 7 Drappeau, Sary 7 Enge, Andreas 7 Ferenczi, Sébastien 7 Fieker, Claus 7 Fishman, Lior 7 Ghosh, Anish 7 Guàrdia, Jordi ...and 3,417 more Authors all top 5 Cited in 382 Journals 396 Journal of Number Theory 253 Journal de Théorie des Nombres de Bordeaux 159 International Journal of Number Theory 114 Mathematics of Computation 89 The Ramanujan Journal 86 Theoretical Computer Science 77 Journal of Algebra 74 Acta Arithmetica 70 Transactions of the American Mathematical Society 54 Proceedings of the American Mathematical Society 51 Mathematische Annalen 49 Annales de l’Institut Fourier 48 Monatshefte für Mathematik 47 Mathematische Zeitschrift 43 Journal of Pure and Applied Algebra 42 Research in Number Theory 41 Advances in Mathematics 40 Functiones et Approximatio. Commentarii Mathematici 37 Journal of Symbolic Computation 36 Israel Journal of Mathematics 35 Manuscripta Mathematica 35 LMS Journal of Computation and Mathematics 34 Finite Fields and their Applications 33 Mathematical Proceedings of the Cambridge Philosophical Society 32 Journal of Mathematical Analysis and Applications 32 Compositio Mathematica 32 Experimental Mathematics 31 Algebra & Number Theory 30 Duke Mathematical Journal 28 Rocky Mountain Journal of Mathematics 26 Archiv der Mathematik 26 Proceedings of the Japan Academy. Series A 26 European Journal of Combinatorics 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Integers 23 Bulletin of the Australian Mathematical Society 21 Discrete Mathematics 21 Ergodic Theory and Dynamical Systems 21 Acta Mathematica Hungarica 21 Annals of Mathematics. Second Series 19 Lithuanian Mathematical Journal 19 Periodica Mathematica Hungarica 19 Indagationes Mathematicae. New Series 19 Chebyshevskiĭ Sbornik 18 Inventiones Mathematicae 18 Journal of Combinatorial Theory. Series A 18 Journal of Mathematical Sciences (New York) 17 Documenta Mathematica 16 Communications in Algebra 16 Journal of Integer Sequences 15 Journal für die Reine und Angewandte Mathematik 15 Advances in Applied Mathematics 15 Journal of the Australian Mathematical Society 15 Proceedings of the Steklov Institute of Mathematics 14 Mathematical Notes 14 Czechoslovak Mathematical Journal 14 Mathematika 13 Tokyo Journal of Mathematics 13 Science China. Mathematics 13 Forum of Mathematics, Sigma 12 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 12 Journal of the American Mathematical Society 12 Linear Algebra and its Applications 12 Annales Mathématiques du Québec 11 Bulletin de la Société Mathématique de France 11 Designs, Codes and Cryptography 11 The Electronic Journal of Combinatorics 11 RAIRO. Theoretical Informatics and Applications 10 Glasgow Mathematical Journal 10 Mathematica Slovaca 10 Journal of the Ramanujan Mathematical Society 10 Geometric and Functional Analysis. GAFA 10 Acta Mathematica Sinica. English Series 10 Journal of Algebra and its Applications 10 Advances in Difference Equations 10 Research in the Mathematical Sciences 10 European Journal of Mathematics 9 Journal d’Analyse Mathématique 9 Canadian Journal of Mathematics 9 Nagoya Mathematical Journal 9 Journal of Complexity 9 Forum Mathematicum 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 RAIRO. Theoretical Informatics and Applications 8 Bulletin of the London Mathematical Society 8 Michigan Mathematical Journal 8 Topology and its Applications 8 Revista Matemática Iberoamericana 8 Bulletin of the American Mathematical Society. New Series 8 Applicable Algebra in Engineering, Communication and Computing 8 St. Petersburg Mathematical Journal 8 Fractals 8 Selecta Mathematica. New Series 8 Foundations of Computational Mathematics 7 Discrete Applied Mathematics 7 Canadian Mathematical Bulletin 7 Quaestiones Mathematicae 7 Rendiconti del Seminario Matematico della Università di Padova 7 Results in Mathematics ...and 282 more Journals all top 5 Cited in 58 Fields 3,242 Number theory (11-XX) 582 Algebraic geometry (14-XX) 312 Computer science (68-XX) 225 Dynamical systems and ergodic theory (37-XX) 209 Group theory and generalizations (20-XX) 191 Combinatorics (05-XX) 166 Field theory and polynomials (12-XX) 146 Commutative algebra (13-XX) 106 Information and communication theory, circuits (94-XX) 102 Special functions (33-XX) 75 Measure and integration (28-XX) 70 Associative rings and algebras (16-XX) 69 Functions of a complex variable (30-XX) 65 Probability theory and stochastic processes (60-XX) 64 Convex and discrete geometry (52-XX) 48 Topological groups, Lie groups (22-XX) 39 Numerical analysis (65-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 33 Mathematical logic and foundations (03-XX) 24 Approximations and expansions (41-XX) 23 \(K\)-theory (19-XX) 21 Several complex variables and analytic spaces (32-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Ordinary differential equations (34-XX) 20 Quantum theory (81-XX) 18 Real functions (26-XX) 17 Sequences, series, summability (40-XX) 16 Nonassociative rings and algebras (17-XX) 14 Manifolds and cell complexes (57-XX) 13 Difference and functional equations (39-XX) 13 Abstract harmonic analysis (43-XX) 13 Functional analysis (46-XX) 13 Statistics (62-XX) 12 General topology (54-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 History and biography (01-XX) 10 Differential geometry (53-XX) 9 Operator theory (47-XX) 8 Partial differential equations (35-XX) 8 Geometry (51-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 6 General algebraic systems (08-XX) 6 Category theory; homological algebra (18-XX) 6 Algebraic topology (55-XX) 5 Operations research, mathematical programming (90-XX) 4 Fluid mechanics (76-XX) 3 Integral transforms, operational calculus (44-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