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: 1,191 Publications (since 1993) References Indexed: 1,178 Publications with 20,558 References. all top 5 Latest Issues 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 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, Nikolay G. 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 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 3 Yamauchi, Takuya ...and 1,194 more Authors all top 5 Fields 1,111 Number theory (11-XX) 213 Algebraic geometry (14-XX) 49 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) 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) 7 \(K\)-theory (19-XX) 7 Several complex variables and analytic spaces (32-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) 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 884 Publications have been cited 4,975 times in 4,195 Documents Cited by ▼ Year ▼ Counting points on elliptic curves over finite fields. Zbl 0852.11073Schoof, René 106 1995 Poly-Bernoulli numbers. Zbl 0887.11011Kaneko, Masanobou 100 1997 Integers without large prime factors. Zbl 0797.11070Hildebrand, Adolf; Tenenbaum, Gérald 98 1993 On the mean values of Dedekind sums. Zbl 0871.11033Zhang, Wenpeng 58 1996 Certain words on the real projective line. (Quelques mots sur la droite projective réelle.) Zbl 0839.11008Borel, J.-P.; Laubie, F. 57 1993 Sturmian morphisms and Rauzy’s rules. (Morphismes sturmiens et règles de Rauzy.) Zbl 0797.11029Mignosi, Filippo; Séébold, Patrice 49 1993 Substitution invariant cutting sequences. Zbl 0786.11041Crisp, D.; Moran, W.; Pollington, A.; Shiue, P. 44 1993 Limit theorems for the Matsumoto zeta-function. Zbl 0859.11053Laurinčikas, Antanas 40 1996 Multiple zeta values: an introduction. (Valeurs zêta multiples. Une introduction.) Zbl 0976.11037Waldschmidt, Michel 35 2000 Global \(\ell\)-adique clean field theory. (Théorie \(\ell\)-adique globale du corps de classes.) Zbl 0938.11052Jaulent, Jean-François 34 1998 Class invariants by Shimura’s reciprocity law. Zbl 0957.11048Gee, Alice 33 1999 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327Zudilin, Wadim 32 2004 \(M_2\)-rank differences for partitions without repeated odd parts. Zbl 1270.11103Lovejoy, Jeremy; Osburn, Robert 32 2009 Approximating rings of integers in number fields. Zbl 0828.11075Buchmann, J. A.; Lenstra, H. W. jun. 31 1994 Logarithmic classes of number fields. (Classes logarithmiques des corps de nombres.) Zbl 0827.11064Jaulent, Jean-François 29 1994 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 29 2003 Points of bounded height, adelic topology and Tamagawa measures. (Points de hauteur bornée, topologie adélique et mesures de Tamagawa.) Zbl 1057.14031Peyre, Emmanuel 29 2003 Diophantine \(m\)-tuples and elliptic curves. Zbl 1046.11034Dujella, Andrej 28 2001 On sums of Hecke series in short intervals. Zbl 0994.11020Ivić, Aleksandar 27 2001 Restriction theory of the Selberg sieve, with applications. Zbl 1135.11049Green, Ben; Tao, Terence 27 2006 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131Guàrdia, Jordi; Montes, Jesús; Nart, Enric 27 2011 Computing fundamental domains for Fuchsian groups. Zbl 1222.11057Voight, John 26 2009 The catenary degree of Krull monoids. I. Zbl 1253.11101Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. 26 2011 Prefix-suffix automaton associated with a primitive substitution. (Automate des préfixes-suffixes associé à une substitution primitive.) Zbl 1071.37011Canterini, Vincent; Siegel, Anne 25 2001 Weber’s class invariants revisited. Zbl 1022.11056Schertz, Reinhard 24 2002 On approximation by Lüroth series. Zbl 0870.11039Dajani, Karma; Kraaikamp, Cor 24 1996 No 17-torsion on elliptic curves over cubic number fields. Zbl 1072.11037Parent, Pierre 24 2003 Determinants of matrices related to the Pascal triangle. Zbl 1023.11011Bacher, Roland 23 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 22 1995 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 22 2001 Classical and overconvergent modular forms of higher level. Zbl 0942.11025Coleman, Robert F. 22 1997 Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068Halter-Koch, Franz 21 1995 Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011Geroldinger, Alfred; Hamidoune, Yahya Ould 21 2002 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 21 2005 Lucas and Lehmer numbers without primitive divisor. (Les nombres de Lucas et Lehmer sans diviseur primitif.) Zbl 1139.11011Abouzaid, Mourad 20 2006 On the Galois group of generalized Laguerre polynomials. Zbl 1094.11042Hajir, Farshid 20 2005 Analytical construction of Weil curves over function fields. Zbl 0846.11037Gekeler, Ernst-Ulrich 19 1995 Topics in computational algebraic number theory. Zbl 1078.11071Belabas, Karim 19 2004 On the binary expansions of algebraic numbers. Zbl 1076.11045Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl 19 2004 On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052Lemmermeyer, Franz 18 1994 Arithmetic and dynamical properties of the Rauzy fractal. (Propriétés arithmétiques et dynamiques du fractal de Rauzy.) Zbl 0918.11048Messaoudi, Ali 18 1998 Counting discriminants of number fields. Zbl 1193.11109Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel 18 2006 Ramification groups in Artin-Schreier-Witt extensions. Zbl 1207.11109Thomas, Lara 18 2005 \(p\)-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 Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications. Zbl 0889.11040Byott, Nigel P. 17 1997 Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016Thuswaldner, Jörg M. 17 2006 On Drinfeld modular forms of higher rank. I. Zbl 1411.11041Gekeler, Ernst-Ulrich 16 2017 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 16 1995 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 Additive properties of dense subsets of sifted sequences. Zbl 0996.11057Ramaré, Olivier; Ruzsa, Imre Z. 15 2001 The analytic order of Ш for modular elliptic curves. Zbl 0795.14016Cremona, J. E. 15 1993 Prime geodesic theorem. Zbl 1028.11030Cai, Yingchun 15 2002 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 15 1997 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080Freitas, Nuno; Siksek, Samir 15 2015 Factoring polynomials over global fields. Zbl 1254.11116Belabas, Karim; van Hoeij, Mark; Klüners, Jürgen; Steel, Allan 15 2009 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 15 2000 Odd order cases of the logarithmically averaged Chowla conjecture. Zbl 1441.11255Tao, Terence; Teräväinen, Joni 15 2018 Arithmetic and dynamical degrees on abelian varieties. Zbl 1416.11091Silverman, Joseph H. 15 2017 On classical weight one forms in Hida families. Zbl 1271.11060Dimitrov, Mladen; Ghate, Eknath 15 2012 On the local Langlands conjecture for \(\text{GL}_n\). (Sur la conjecture de Langlands locale pour \(\text{GL}_n\).) Zbl 1048.11093Henniart, Guy 15 2001 On the few products, many sums problem. Zbl 1454.11025Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 14 2019 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 distribution of the sum-of-digits function. Zbl 0916.11049Drmota, Michael; Gajdosik, Johannes 14 1998 On the computation of quadratic 2-class groups. Zbl 0870.11080Bosma, Wieb; Stevenhagen, Peter 14 1996 Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031Lemmermeyer, Franz 14 1997 Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Zbl 1067.11042Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz 14 2002 The correspondence between Barsotti-Tate groups and Kisin modules when \(p=2\). Zbl 1327.14206Liu, Tong 14 2013 Automatic congruences for diagonals of rational functions. Zbl 1384.11003Rowland, Eric; Yassawi, Reem 14 2015 Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim 14 2005 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 14 2001 Oscillatory integrals with uniformity in parameters. Zbl 1447.41015Kıral, Eren Mehmet; Petrow, Ian; Young, Matthew P. 13 2019 Construction of ray class fields by elliptic units. Zbl 0902.11047Schertz, Reinhard 13 1997 Maximal unramified extensions of imaginary quadratic number fields of small conductors. Zbl 0905.11048Yamamura, Ken 13 1997 A fast algorithm for polynomial factorization over \(\mathbb Q_p\). Zbl 1032.11053Ford, David; Pauli, Sebastian; Roblot, Xavier-François 13 2002 Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326Zudilin, Wadim 13 2003 Constructing elliptic curves over finite fields using double eta-quotients. Zbl 1072.11039Enge, Andreas; Schertz, Reinhard 13 2004 Differences in sets of lengths of Krull monoids with finite class group. Zbl 1090.20034Schmid, Wolfgang A. 13 2005 Field of moduli versus field of definition for cyclic covers of the projective line. Zbl 1201.14020Kontogeorgis, Aristides 13 2009 Finite automata and algebraic extensions of functions fields. Zbl 1161.11317Kedlaya, Kiran S. 13 2006 On the delta set of a singular arithmetical congruence monoid. Zbl 1203.20057Baginski, Paul; Chapman, Scott T.; Schaeffer, George J. 13 2008 The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large. Zbl 1153.11313Kloosterman, Remke 13 2005 A characterization of class groups via sets of lengths. II. Zbl 1410.11121Geroldinger, Alfred; Zhong, Qinghai 13 2017 On the Olson and the strong Davenport constants. Zbl 1252.11011Ordaz, Oscar; Philipp, Andreas; Santos, Irene; Schmid, Wolfgang A. 13 2011 Embedding orders into central simple algebras. Zbl 1272.11126Linowitz, Benjamin; Shemanske, Thomas R. 13 2012 An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038Poonen, Bjorn 13 2001 On certain Drinfeld modular forms of higher rank. Zbl 1434.11101Basson, Dirk; Breuer, Florian 12 2017 Special functions and twisted \(L\)-series. Zbl 1430.11127Anglès, Bruno; Dac, Tuan Ngo; Ribeiro, Floric Tavares 12 2017 Mean square of the remainder term in the Dirichlet divisor problem. Zbl 0844.11059Lau, Yuk-Kam; Tsang, Kai-Man 12 1995 Multiplicative functions and \(k\)-automatic sequences. Zbl 1002.11025Yazdani, Soroosh 12 2001 Invariance properties of Sturmian words. (Propriétés d’invariance des mots sturmiens.) Zbl 0904.11008Parvaix, Bruno 12 1997 Reflexion theorems. (Théorèmes de réflexion.) Zbl 0949.11058Gras, Georges 12 1998 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 Elliptic curves with \(\mathbb Q({\mathcal E}[3])=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9. Zbl 1216.11064Paladino, Laura 12 2010 Odd perfect polynomials over \(\mathbb F_2\). Zbl 1145.11081Gallardo, Luis H.; Rahavandrainy, Olivier 12 2007 On the slopes of the \(U_5\) operator acting on overconvergent modular forms. Zbl 1211.11059Kilford, L. J. P. 12 2008 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 12 2000 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 12 2008 The divisor problem for binary cubic forms. Zbl 1271.11091Browning, Tim 12 2011 Approximation of values of algebraic elements over the ring of power sums. Zbl 1520.11067Fuchs, Clemens; Heintze, Sebastian 1 2023 Classical forms of weight one in ordinary families. Zbl 07682959Stubley, Eric 1 2023 The Manin-Drinfeld theorem and the rationality of Rademacher symbols. Zbl 1515.11048Burrin, Claire 1 2023 Linear relations of Siegel Poincaré series and non-vanishing of the central values of spinor \(L\)-functions. Zbl 1521.11031Wei, Zhining 1 2023 Factoring Gleason polynomials modulo 2. Zbl 1514.37061Buff, Xavier; Floyd, William; Koch, Sarah; Parry, Walter 1 2023 Control theorems for fine Selmer groups. Zbl 07654306Kundu, Debanjana; Lim, Meng Fai 1 2023 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 4 2022 Explicit \(L^2\) bounds for the Riemann \(\zeta\) function. Zbl 1495.11100Dona, Daniele; Helfgott, Harald A.; Alterman, Sebastian Zuniga 3 2022 On a probabilistic local-global principle for torsion on elliptic curves. Zbl 1498.14090Cullinan, John; Kenney, Meagan; Voight, John 2 2022 On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. Zbl 1489.11081Agboola, Adebisi; Castella, Francesc 2 2022 Notes on the dual of the ideal class groups of CM-fields. Zbl 1492.11149Kurihara, Masato 2 2022 Perfectoid Drinfeld modular forms. Zbl 1504.11063Nicole, Marc-Hubert; Rosso, Giovanni 2 2022 On the theory of Kolyvagin systems of rank 0. Zbl 1497.11139Sakamoto, Ryotaro 2 2022 A note on finite embedding problems with nilpotent kernel. Zbl 07607142Fehm, Arno; Legrand, François 1 2022 Root number of the Jacobian of \(y^2 = x^p+a\). Zbl 07607144Bisatt, Matthew 1 2022 The natural extension of the Gauss map and the Hermite best approximations. Zbl 1508.11073Chevallier, Nicolas 1 2022 Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves. Zbl 1497.11171Hamidi, Parham; Ray, Jishnu 1 2022 Spherical varieties and norm relations in Iwasawa theory. Zbl 1497.11130Loeffler, David 1 2022 Chromatic Selmer groups and arithmetic invariants of elliptic curves. Zbl 1489.11098Sprung, Florian Ito 1 2022 Zeta-like multizeta values for higher genus curves. Zbl 07419997Lara Rodríguez, José Alejandro; Thakur, Dinesh S. 3 2021 Quantitative Diophantine approximation with congruence conditions. Zbl 1472.11210Alam, Mahbub; Ghosh, Anish; Yu, Shucheng 3 2021 Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring. Zbl 1473.11120Cojocaru, Alina Carmen; Jones, Nathan 2 2021 \(p\)-adic dynamics of Hecke operators on modular curves. Zbl 1477.11081Goren, Eyal Z.; Kassaei, Payman L. 1 2021 Differential \((\varphi,\tau)\)-modules and potentially semi-stable representations. (\((\varphi,\tau)\)-modules différentiels et représentations potentiellement semi-stables.) Zbl 1479.11204Poyeton, Léo 1 2021 A transference principle for simultaneous rational approximation. Zbl 1460.11100Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien 6 2020 On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one. Zbl 1459.11148Baier, Stephan; Technau, Marc 5 2020 The Chevalley-Gras formula over global fields. Zbl 1465.11217Li, Jianing; Yu, Chia-Fu 5 2020 Partial sums of the cotangent function. Zbl 1477.11142Bettin, Sandro; Drappeau, Sary 4 2020 A step beyond Freiman’s theorem for set addition modulo a prime. Zbl 1459.11202Candela, Pablo; Serra, Oriol; Spiegel, Christoph 4 2020 The upper density of an automatic set is rational. Zbl 1465.11079Bell, Jason P. 4 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 Reduction of certain crystalline representations and local constancy in the weight space. Zbl 1473.11114Bhattacharya, Shalini 2 2020 The endomorphism ring of projectives and the Bernstein centre. Zbl 1468.22021Pyvovarov, Alexandre 2 2020 Linear relations with conjugates of a Salem number. Zbl 1452.11129Dubickas, Artūras; Jankauskas, Jonas 2 2020 Greenberg algebras and ramified Witt vectors. Zbl 1460.13034Bertapelle, Alessandra; Candilera, Maurizio 2 2020 A note on Misiurewicz polynomials. Zbl 1460.11124Goksel, Vefa 2 2020 The characteristic masses of Niemeier lattices. Zbl 1465.11121Chenevier, Gaëtan 2 2020 On finiteness of odd superperfect numbers. Zbl 1469.11011Yamada, Tomohiro 1 2020 Cohen-Lenstra moments for some nonabelian groups. Zbl 1466.11083Alberts, Brandon 1 2020 On Selberg’s central limit theorem for Dirichlet \(L\)-functions. Zbl 1465.11180Hsu, Po-Han; Wong, Peng-Jie 1 2020 Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields. Zbl 1470.11164Salami, Sajad 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 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 On the few products, many sums problem. Zbl 1454.11025Murphy, Brendan; Rudnev, Misha; Shkredov, Ilya; Shteinikov, Yuri 14 2019 Oscillatory integrals with uniformity in parameters. Zbl 1447.41015Kıral, Eren Mehmet; Petrow, Ian; Young, Matthew P. 13 2019 Genuine Bianchi modular forms of higher level at varying weight and discriminant. Zbl 1466.11027Rahm, Alexander D.; Tsaknias, Panagiotis 5 2019 \(F\)-sets and finite automata. Zbl 1475.11038Bell, Jason; Moosa, Rahim 5 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 On the sum of the first \(n\) prime numbers. Zbl 1452.11112Axler, Christian 3 2019 Generalized Perron identity for broken lines. Zbl 1460.11097Karpenkov, Oleg; van-Son, Matty 3 2019 Digital nets in dimension two with the optimal order of \(L_p\) discrepancy. Zbl 1465.11171Kritzinger, Ralph; Pillichshammer, Friedrich 3 2019 Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula. Zbl 1445.11025Anni, Samuele; Böckle, Gebhard; Gräf, Peter; Troya, Álvaro 3 2019 A measure of transcendence for singular points on conics. Zbl 1459.11152Roy, Damien 2 2019 On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) Zbl 1457.11098de Mathan, Bernard 2 2019 Higher congruences between newforms and Eisenstein series of squarefree level. Zbl 1444.11077Hsu, Catherine M. 2 2019 A necessary and sufficient condition for an algebraic integer to be a Salem number. Zbl 1453.11135Stankov, Dragan 2 2019 On class numbers of division fields of abelian varieties. Zbl 1471.11274Garnek, Jędrzej 2 2019 Automaticity of the sequence of the last nonzero digits of \(n!\) in a fixed base. Zbl 1475.11039Lipka, Eryk 2 2019 Conjugacy classes of finite subgroups of \(\mathrm{SL}(2,F)\), \(\mathrm{SL}(3,\bar{F})\). Zbl 1441.14150Flicker, Yuval Z. 2 2019 A logarithmic improvement in the Bombieri-Vinogradov theorem. Zbl 1459.11180Sedunova, Alisa 2 2019 On the cyclic torsion of elliptic curves over cubic number fields. II. Zbl 1477.11116Wang, Jian 2 2019 Near counterexamples to Weil’s converse theorem. Zbl 1457.11059Steiner, Raphael S. 1 2019 Deligne-Illusie classes as arithmetic Kodaira-Spencer classes. Zbl 1471.14057Dupuy, Taylor; Zureick-Brown, David 1 2019 On the spectrum of irrationality exponents of Mahler numbers. Zbl 1452.11087Badziahin, Dzmitry 1 2019 Biases in prime factorizations and Liouville functions for arithmetic progressions. Zbl 1472.11042Humphries, Peter; Shekatkar, Snehal M.; Wong, Tian An 1 2019 Abelian varieties isogenous to a power of an elliptic curve over a Galois extension. Zbl 1469.14093Vogt, Isabel 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 15 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 11 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 8 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 7 2018 Products of primes in arithmetic progressions: a footnote in parity breaking. Zbl 1435.11123Ramaré, Olivier; Walker, Aled 7 2018 Some manifolds of Khinchin type for convergence. Zbl 1408.11068Simmons, David 6 2018 An infinitesimal \(p\)-adic multiplicative Manin-Mumford conjecture. Zbl 1443.11247Serban, Vlad 6 2018 \(M(x) = o(x)\) estimates for Beurling numbers. Zbl 1443.11201Debruyne, Gregory; Diamond, Harold G.; Vindas, Jasson 6 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 The Hasse norm principle for biquadratic extensions. Zbl 1441.11245Rome, Nick 5 2018 Finite \(\Lambda\)-submodules of Iwasawa modules for a CM-field for \(p = 2\). Zbl 1435.11137Atsuta, Mahiro 5 2018 Short intervals asymptotic formulae for binary problems with prime powers. Zbl 1441.11261Languasco, Alessandro; Zaccagnini, Alessandro 4 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 3 2018 Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules. Zbl 1442.11144Fujii, Satoshi; Itoh, Tsuyoshi 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 Ramified extensions of degree \(p\) and their Hopf-Galois module structure. Zbl 1432.11169Elder, G. Griffith 2 2018 The large sieve with square norm moduli in \(\mathbb Z[i]\). 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Zbl 1420.14050Chen, Huayi 2 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 2 2018 On the number of perfect lattices. Zbl 1443.11132Bacher, Roland 2 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 Lower bounds for generalized unit regulators. Zbl 1408.11107Sundstrom, James 1 2018 ...and 784 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,775 Authors 43 Shparlinski, Igor E. 31 Geroldinger, Alfred 26 Laurinčikas, Antanas 24 Zhang, Wenpeng 23 Komatsu, Takao 23 Luca, Florian 21 Adamczewski, Boris 21 Berthé, Valérie 21 Bugeaud, Yann 21 Jaulent, Jean-François 18 Schmid, Wolfgang Alexander 18 Thuswaldner, Jörg Maximilian 16 Dubickas, Artūras 16 Gras, Georges 16 Reutenauer, Christophe 16 Togbé, Alain 15 Chapman, Scott Thomas 15 Grynkiewicz, David J. 15 Pelantová, Edita 15 Shallit, Jeffrey Outlaw 14 Browning, Timothy Daniel 14 Maire, Christian 14 Sutherland, Andrew V. 14 Tao, Terence 14 Zudilin, Wadim 13 Bell, Jason P. 13 Dujella, Andrej 13 Fujita, Yasutsugu 13 Gallardo, Luis Henri 13 Ichimura, Humio 13 Rivoal, Tanguy 13 Voight, John Michael 12 Banks, William David 12 Fischler, Stéphane 12 Fuchs, Clemens 12 Louboutin, Stéphane R. 12 Nart, Enric 12 Zhong, Qinghai 11 Allouche, Jean-Paul Simon 11 Bennett, Michael A. 11 Cohen, Henri 11 König, Joachim 11 Lei, Antonio 11 Masáková, Zuzana 11 Matomäki, Kaisa 11 Rahavandrainy, Olivier 11 Teräväinen, Joni 11 Zaharescu, Alexandru 10 Akiyama, Shigeki 10 Byott, Nigel P. 10 Jennings-Shaffer, Chris 10 Kim, Taekyun 10 Koo, Jakyung 10 Najman, Filip 10 Papikian, Mihran 10 Ramaré, Olivier 10 Shlapentokh, Alexandra 10 Simmons, David 10 Tan, Bo 10 Voskresenskaya, Galina Valentinovna 10 Vuillon, Laurent 10 Zhai, Wenguang 9 de la Bretèche, Régis 9 Fieker, Claus 9 Gekeler, Ernst-Ulrich 9 Ghioca, Dragos 9 Gillibert, Jean 9 Jones, Lenny K. 9 Kim, Dae San 9 Lalín, Matilde Noemí 9 Madritsch, Manfred G. 9 Mao, Renrong 9 Matsumoto, Kohji 9 Mizusawa, Yasushi 9 Moree, Pieter 9 Siksek, Samir 8 Bayer-Fluckiger, Eva 8 Bényi, Beáta 8 Bley, Werner 8 Borel, Jean-Pierre 8 Bröker, Reinier 8 Cipu, Mihai 8 Drappeau, Sary 8 Elder, Gove Griffith 8 Enge, Andreas 8 Ghosh, Anish 8 He, Bo 8 Hidalgo, Rubén Antonio 8 Justin, Jacques 8 Khan, Waseem Ahmad 8 Kim, Chang Heon 8 Klüners, Jürgen 8 Lee, Yoonjin 8 Lemmermeyer, Franz Josef 8 Levin, Aaron 8 Mayer, Daniel C. 8 Miller, Steven J. 8 Moghaddamfar, Ali Reza 8 Morain, François 8 Nicolas, Jean-Louis ...and 3,675 more Authors all top 5 Cited in 396 Journals 416 Journal of Number Theory 265 Journal de Théorie des Nombres de Bordeaux 170 International Journal of Number Theory 117 Mathematics of Computation 93 The Ramanujan Journal 87 Acta Arithmetica 87 Theoretical Computer Science 80 Journal of Algebra 76 Transactions of the American Mathematical Society 58 Proceedings of the American Mathematical Society 53 Annales de l’Institut Fourier 53 Mathematische Annalen 50 Mathematische Zeitschrift 50 Monatshefte für Mathematik 49 Advances in Mathematics 48 Research in Number Theory 45 Journal of Pure and Applied Algebra 44 Functiones et Approximatio. Commentarii Mathematici 39 Journal of Symbolic Computation 36 Israel Journal of Mathematics 36 Mathematical Proceedings of the Cambridge Philosophical Society 36 Manuscripta Mathematica 36 Finite Fields and their Applications 35 Compositio Mathematica 35 LMS Journal of Computation and Mathematics 34 Journal of Mathematical Analysis and Applications 34 Experimental Mathematics 34 Algebra & Number Theory 33 Duke Mathematical Journal 29 Rocky Mountain Journal of Mathematics 28 Mathematika 28 European Journal of Combinatorics 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Archiv der Mathematik 27 Acta Mathematica Hungarica 26 Bulletin of the Australian Mathematical Society 26 Proceedings of the Japan Academy. Series A 26 Integers 22 Ergodic Theory and Dynamical Systems 21 Discrete Mathematics 21 Annals of Mathematics. Second Series 20 Periodica Mathematica Hungarica 20 Indagationes Mathematicae. New Series 19 Lithuanian Mathematical Journal 19 Inventiones Mathematicae 19 Documenta Mathematica 19 Chebyshevskiĭ Sbornik 18 Communications in Algebra 18 Journal of Combinatorial Theory. Series A 18 Journal of Mathematical Sciences (New York) 18 Journal of Integer Sequences 17 Proceedings of the Steklov Institute of Mathematics 16 Mathematical Notes 16 Bulletin of the London Mathematical Society 16 Czechoslovak Mathematical Journal 16 Journal of the London Mathematical Society. Second Series 16 Journal für die Reine und Angewandte Mathematik 16 Forum of Mathematics, Sigma 15 Advances in Applied Mathematics 15 Journal of the Australian Mathematical Society 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Bulletin de la Société Mathématique de France 14 Annales Mathématiques du Québec 13 Canadian Journal of Mathematics 13 Tokyo Journal of Mathematics 13 The Electronic Journal of Combinatorics 13 Science China. Mathematics 13 Research in the Mathematical Sciences 12 Journal of the American Mathematical Society 12 Linear Algebra and its Applications 12 Journal of the Institute of Mathematics of Jussieu 11 Canadian Mathematical Bulletin 11 Mathematica Slovaca 11 Designs, Codes and Cryptography 11 Geometric and Functional Analysis. GAFA 11 RAIRO. Theoretical Informatics and Applications 11 Journal of Algebra and its Applications 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 10 Glasgow Mathematical Journal 10 Forum Mathematicum 10 Journal of the Ramanujan Mathematical Society 10 Acta Mathematica Sinica. English Series 10 Advances in Difference Equations 10 European Journal of Mathematics 9 Journal d’Analyse Mathématique 9 Nagoya Mathematical Journal 9 Journal of Complexity 9 Revista Matemática Iberoamericana 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 St. Petersburg Mathematical Journal 9 Journal of the European Mathematical Society (JEMS) 9 RAIRO. Theoretical Informatics and Applications 9 Open Mathematics 8 Discrete Applied Mathematics 8 Michigan Mathematical Journal 8 Proceedings of the London Mathematical Society. Third Series 8 Rendiconti del Seminario Matematico della Università di Padova 8 Topology and its Applications 8 Bulletin of the American Mathematical Society. New Series 8 Applicable Algebra in Engineering, Communication and Computing ...and 296 more Journals all top 5 Cited in 58 Fields 3,572 Number theory (11-XX) 646 Algebraic geometry (14-XX) 342 Computer science (68-XX) 245 Dynamical systems and ergodic theory (37-XX) 232 Group theory and generalizations (20-XX) 204 Combinatorics (05-XX) 181 Field theory and polynomials (12-XX) 156 Commutative algebra (13-XX) 125 Information and communication theory, circuits (94-XX) 114 Special functions (33-XX) 81 Associative rings and algebras (16-XX) 80 Measure and integration (28-XX) 73 Functions of a complex variable (30-XX) 69 Convex and discrete geometry (52-XX) 67 Probability theory and stochastic processes (60-XX) 53 Topological groups, Lie groups (22-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 41 Numerical analysis (65-XX) 37 Mathematical logic and foundations (03-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 28 \(K\)-theory (19-XX) 26 Approximations and expansions (41-XX) 25 Several complex variables and analytic spaces (32-XX) 23 Ordinary differential equations (34-XX) 23 Global analysis, analysis on manifolds (58-XX) 23 Quantum theory (81-XX) 18 Real functions (26-XX) 18 Sequences, series, summability (40-XX) 16 Nonassociative rings and algebras (17-XX) 15 Difference and functional equations (39-XX) 15 Manifolds and cell complexes (57-XX) 14 Functional analysis (46-XX) 13 Differential geometry (53-XX) 13 Statistics (62-XX) 12 Abstract harmonic analysis (43-XX) 12 General topology (54-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 History and biography (01-XX) 11 Operator theory (47-XX) 10 Geometry (51-XX) 9 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic topology (55-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General algebraic systems (08-XX) 6 Category theory; homological algebra (18-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