Edit Profile (opens in new tab) Philippon, Patrice Compute Distance To: Compute Author ID: philippon.patrice Published as: Philippon, Patrice; Philippon, P. External Links: MGP Documents Indexed: 63 Publications since 1980, including 1 Book 2 Contributions as Editor Reviewing Activity: 113 Reviews Co-Authors: 22 Co-Authors with 30 Joint Publications 438 Co-Co-Authors all top 5 Co-Authors 35 single-authored 13 Sombra, Martín 7 Burgos Gil, José Ignacio 6 David, Sinnou 6 Waldschmidt, Michel 3 Bertrand, Daniel 2 Laurent, Michel 2 Saha, Biswajyoti 2 Saha, Ekata 1 Amoroso, Francesco Antonio 1 Bertolin, Cristiana 1 Brownawell, W. Dale 1 Chardin, Marc 1 Emsalem, Michel 1 Gramain, Francois 1 Huttner, Marc 1 Langevin, Michel 1 Mignotte, Maurice 1 Moreau, Jean-Charles 1 Moriwaki, Atsushi 1 Nakamaye, Michael 1 Nesterenko, Yuriĭ Valentinovich 1 Rath, Purusottam 1 Rémond, Guy 1 Reyssat, Eric 1 Rivera-Letelier, Juan 1 Roy, Damien all top 5 Serials 3 Bulletin of the Australian Mathematical Society 3 Acta Arithmetica 3 Journal of Number Theory 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Algebraic Geometry 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Notices of the American Mathematical Society 1 Journal de Théorie des Nombres de Bordeaux 1 The Ramanujan Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 IMRP. International Mathematics Research Papers 1 International Journal of Number Theory 1 Astérisque 1 Lecture Notes in Mathematics 1 Kyoto Journal of Mathematics all top 5 Fields 55 Number theory (11-XX) 40 Algebraic geometry (14-XX) 6 Commutative algebra (13-XX) 4 Convex and discrete geometry (52-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 502 times in 306 Documents Cited by ▼ Year ▼ Algebraic independence criteria. (Critères pour l’indépendance algébrique.) Zbl 0615.10044Philippon, Patrice 58 1986 Lemmes de zéros dans les groupes algébriques commutatifs. (Zero theorems in commutative algebraic groups). Zbl 0617.14001Philippon, Patrice 54 1986 Sur des hauteurs alternatives. I. (On alternative heights. I). Zbl 0726.14017Philippon, Patrice 42 1991 On alternative heights. III. (Sur des hauteurs alternatives. III.) Zbl 0878.11025Philippon, Patrice 29 1995 Arithmetic geometry of toric varieties. Metrics, measures and heights. Zbl 1311.14050Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 29 2014 Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 20 1988 Lower bounds for normalized heights of subvarieties of tori. (Minorations des hauteurs normalisées des sous-variétés des tores.) Zbl 1002.11055David, Sinnou; Philippon, Patrice 18 1999 Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.). Zbl 1030.11026David, Sinnou; Philippon, Patrice 14 2002 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020Bertrand, Daniel; Philippon, Patrice 13 1988 Lower bounds for linear forms in logarithms. Zbl 0659.10037Philippon, P.; Waldschmidt, M. 13 1988 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 A methodic approach to the transcendence and algebraic independence of values of analytic functions. (Une approche méthodique pour la transcendance et l’indépendance alǵebrique de valeurs de fonctions analytique.) Zbl 0901.11026Philippon, Patrice 11 1997 New zero lemmas in commutative algebraic groups. (Nouveaux lemmes de zéros dans les groupes algébriques commutativs.) Zbl 0893.11027Philippon, Patrice 11 1996 Algebraic independence and \(K\)-functions. (Indépendance algébrique et \(K\)-fonctions.) Zbl 0887.11032Philippon, Patrice 10 1998 Arithmetic positivity on toric varieties. Zbl 1378.14048Burgos Gil, José Ignacio; Moriwaki, Atsushi; Philippon, Patrice; Sombra, Martín 10 2016 Sur des hauteurs alternatives. II (On alternative heights. II). Zbl 0878.11024Philippon, Patrice 10 1994 Normalized height of projective toric varieties. (Hauteur normalisée des variétés toriques projectives.) Zbl 1147.11033Philippon, Patrice; Sombra, Martín 10 2008 Regularity and interpolation. (Régularité et interpolation.) Zbl 0962.13014Chardin, Marc; Philippon, Patrice 9 1999 Denominateurs dans le theoreme des zeros de Hilbert. (Nominators in Hilbert’s zero theorem). Zbl 0679.13010Philippon, Patrice 9 1991 Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem. (Variétés abeliennes et independance algébrique. II: Un analogue abelien du théorème de Lindemann-Weierstrass.) Zbl 0516.10026Philippon, P. 9 1983 Galois groups and automatic numbers. (Groupes de Galois et nombres automatiques.) Zbl 1391.11087Philippon, Patrice 8 2015 A refinement of the Bernštein-Kušnirenko estimate. Zbl 1155.14037Philippon, Patrice; Sombra, Martín 8 2008 Lower bounds for normalized heights of subvarieties of abelian varieties. (Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes.) Zbl 0899.11027David, Sinnou; Philippon, Patrice 7 1998 Independance algébrique de valeurs de fonctions exponentielles p-adiques. Zbl 0459.10024Philippon, P. 7 1981 Sur les mesures d’indépendance algébrique. (On measures of algebraic independence). Zbl 0567.10034Philippon, P. 7 1985 Successive minima of toric height functions. (Minimums successifs des fonctions hauteurs toriques.) Zbl 1369.14034Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 6 2015 Simultaneous linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes simultanées sur les groupes algébriques commutatifs.) Zbl 0681.10024Philippon, P.; Waldschmidt, M. 6 1988 Critères pour l’indépendance algébrique dans les anneaux diophantiens. (Criteria for algebraic independence in diophantine domains). Zbl 0781.13011Philippon, Patrice 5 1992 Algebraic approximations of points in projective spaces. I. (Approximations algébriques des points dans les espaces projectifs. I.) Zbl 1096.11504Philippon, Patrice 4 2000 Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035Philippon, Patrice; Waldschmidt, Michel 4 1989 Variétés abeliennes et independance algébrique. I. Zbl 0503.10024Philippon, P. 4 1983 Torsion subvarieties of semi-abelian varieties. (Sous-variétés de torsion des variétés semi-abéliennes.) Zbl 0972.11059David, Sinnou; Philippon, Patrice 4 2000 Some diophantine aspects of projective toric varieties. (Quelques aspects diophantiens des variétés toriques projectives.) Zbl 1153.11029Philippon, Patrice; Sombra, Martín 4 2008 Some remarks on questions of diophantine approximation. (Quelques remarques sur des questions d’approximation diophantienne.) Zbl 0927.11040Philippon, Patrice 3 1999 Mahler’s classification and local distances. (Classification de Mahler et distances locales.) Zbl 0799.11019Philippon, Patrice 3 1994 Polynômes d’interpolation sur \({\mathbb{Z}}\) et \({\mathbb{Z}}[i]\). (Interpolating polynomials on \({\mathbb{Z}}\) and \({\mathbb{Z}}[i])\). Zbl 0701.11023Philippon, Patrice 3 1990 Measures of approximation of values of analytic functions. (Mesures d’approximation de valeurs de fonctions analytiques.) Zbl 0938.11038Philippon, Patrice 3 1999 Effective Nullstellensatz and elimination. (Théorème des zéros effectif et élimination.) Zbl 0743.11036Philippon, P. 2 1989 Height of varieties over finitely generated fields. Zbl 1358.14021Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín 2 2016 Addendum to the text of W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”. (A propos du texte de W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”.) Zbl 0641.14002Philippon, Patrice 2 1988 Lower bounds of normalized heights of subvarieties of powers of elliptic curves. (Minorations des hauteurs normalisées des sous-variétés des puissances des courbes elliptiques.) Zbl 1163.11049David, Sinnou; Philippon, Patrice 2 2007 An abelian analogue of Schanuel’s conjecture and applications. Zbl 07202109Philippon, Patrice; Saha, Biswajyoti; Saha, Ekata 2 2020 The distribution of Galois orbits of points of small height in toric varieties. Zbl 1459.14012Burgos Gil, José Ignacio; Philippon, Patrice; Rivera-Letelier, Juan; Sombra, Martín 2 2019 Errata et addenda à “Lemmes de zéros dans les groupes algébriques commutatifs”. (Errata and addenda to: “Zero theorems in commutative algebraic groups”). Zbl 0634.14001Philippon, Patrice 1 1987 Heights of toric varieties, entropy and integration over polytopes. Zbl 1376.14053Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 1 2015 New aspects of transcendence. (Nouveaux aspects de la transcendance.) Zbl 0843.11035Philippon, Patrice 1 1995 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Une nouvelle majoration pour le nombre de solutions d’un système d’équations polynomiales. (A new estimate for the number of solutions of a system of polynomial equations.) Zbl 1128.14039Philippon, Patrice; Sombra, Martín 1 2007 Functional approximations of curves in projective space. (Approximations fonctionnelles des courbes des espaces projectifs.) Zbl 1231.11075Philippon, Patrice 1 2011 Diophantine geometry and toric varieties. (Géométrie diophantienne et variétés toriques.) Zbl 1110.14024Philippon, Patrice; Sombra, Martín 1 2005 Uniform bounds for the number of rational points of certain curves. (Bornes uniformes pour le nombre de points rationnels de certaines courbes.) Zbl 1230.14031David, Sinnou; Nakamaye, Michael; Philippon, Patrice 1 2007 Essential minimum and obstruction degrees of subtorus translations. (Minimum essentiel et degrés d’obstruction des translatés de sous-tores.) Zbl 1230.11085Philippon, Patrice; Sombra, Martín 1 2008 Remark on \(p\)-adic algebraic independence theory. Zbl 1196.11105Philippon, Patrice 1 2008 Height of toric subschemes and Legendre-Fenchel duality. (Hauteur des sous-schémas toriques et dualité de Legendre-Fenchel.) Zbl 1171.14016Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín 1 2009 A Farey tail. Zbl 1351.11016Philippon, Patrice 1 2012 An abelian analogue of Schanuel’s conjecture and applications. Zbl 07202109Philippon, Patrice; Saha, Biswajyoti; Saha, Ekata 2 2020 The distribution of Galois orbits of points of small height in toric varieties. Zbl 1459.14012Burgos Gil, José Ignacio; Philippon, Patrice; Rivera-Letelier, Juan; Sombra, Martín 2 2019 Arithmetic positivity on toric varieties. Zbl 1378.14048Burgos Gil, José Ignacio; Moriwaki, Atsushi; Philippon, Patrice; Sombra, Martín 10 2016 Height of varieties over finitely generated fields. Zbl 1358.14021Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín 2 2016 Galois groups and automatic numbers. (Groupes de Galois et nombres automatiques.) Zbl 1391.11087Philippon, Patrice 8 2015 Successive minima of toric height functions. (Minimums successifs des fonctions hauteurs toriques.) Zbl 1369.14034Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 6 2015 Heights of toric varieties, entropy and integration over polytopes. Zbl 1376.14053Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 1 2015 Arithmetic geometry of toric varieties. Metrics, measures and heights. Zbl 1311.14050Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín 29 2014 A Farey tail. Zbl 1351.11016Philippon, Patrice 1 2012 Functional approximations of curves in projective space. (Approximations fonctionnelles des courbes des espaces projectifs.) Zbl 1231.11075Philippon, Patrice 1 2011 Height of toric subschemes and Legendre-Fenchel duality. (Hauteur des sous-schémas toriques et dualité de Legendre-Fenchel.) Zbl 1171.14016Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín 1 2009 Normalized height of projective toric varieties. (Hauteur normalisée des variétés toriques projectives.) Zbl 1147.11033Philippon, Patrice; Sombra, Martín 10 2008 A refinement of the Bernštein-Kušnirenko estimate. Zbl 1155.14037Philippon, Patrice; Sombra, Martín 8 2008 Some diophantine aspects of projective toric varieties. (Quelques aspects diophantiens des variétés toriques projectives.) Zbl 1153.11029Philippon, Patrice; Sombra, Martín 4 2008 Essential minimum and obstruction degrees of subtorus translations. (Minimum essentiel et degrés d’obstruction des translatés de sous-tores.) Zbl 1230.11085Philippon, Patrice; Sombra, Martín 1 2008 Remark on \(p\)-adic algebraic independence theory. Zbl 1196.11105Philippon, Patrice 1 2008 Lower bounds of normalized heights of subvarieties of powers of elliptic curves. (Minorations des hauteurs normalisées des sous-variétés des puissances des courbes elliptiques.) Zbl 1163.11049David, Sinnou; Philippon, Patrice 2 2007 Une nouvelle majoration pour le nombre de solutions d’un système d’équations polynomiales. (A new estimate for the number of solutions of a system of polynomial equations.) Zbl 1128.14039Philippon, Patrice; Sombra, Martín 1 2007 Uniform bounds for the number of rational points of certain curves. (Bornes uniformes pour le nombre de points rationnels de certaines courbes.) Zbl 1230.14031David, Sinnou; Nakamaye, Michael; Philippon, Patrice 1 2007 Diophantine geometry and toric varieties. (Géométrie diophantienne et variétés toriques.) Zbl 1110.14024Philippon, Patrice; Sombra, Martín 1 2005 Minorations des hauteurs normalisées des sous-variétés de variétés abeliennes. II. (Lower bounds for normalized heights of subvarieties of Abelian varieties. II.). Zbl 1030.11026David, Sinnou; Philippon, Patrice 14 2002 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 Algebraic approximations of points in projective spaces. I. (Approximations algébriques des points dans les espaces projectifs. I.) Zbl 1096.11504Philippon, Patrice 4 2000 Torsion subvarieties of semi-abelian varieties. (Sous-variétés de torsion des variétés semi-abéliennes.) Zbl 0972.11059David, Sinnou; Philippon, Patrice 4 2000 Lower bounds for normalized heights of subvarieties of tori. (Minorations des hauteurs normalisées des sous-variétés des tores.) Zbl 1002.11055David, Sinnou; Philippon, Patrice 18 1999 Regularity and interpolation. (Régularité et interpolation.) Zbl 0962.13014Chardin, Marc; Philippon, Patrice 9 1999 Some remarks on questions of diophantine approximation. (Quelques remarques sur des questions d’approximation diophantienne.) Zbl 0927.11040Philippon, Patrice 3 1999 Measures of approximation of values of analytic functions. (Mesures d’approximation de valeurs de fonctions analytiques.) Zbl 0938.11038Philippon, Patrice 3 1999 Algebraic independence and \(K\)-functions. (Indépendance algébrique et \(K\)-fonctions.) Zbl 0887.11032Philippon, Patrice 10 1998 Lower bounds for normalized heights of subvarieties of abelian varieties. (Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes.) Zbl 0899.11027David, Sinnou; Philippon, Patrice 7 1998 A methodic approach to the transcendence and algebraic independence of values of analytic functions. (Une approche méthodique pour la transcendance et l’indépendance alǵebrique de valeurs de fonctions analytique.) Zbl 0901.11026Philippon, Patrice 11 1997 New zero lemmas in commutative algebraic groups. (Nouveaux lemmes de zéros dans les groupes algébriques commutativs.) Zbl 0893.11027Philippon, Patrice 11 1996 On alternative heights. III. (Sur des hauteurs alternatives. III.) Zbl 0878.11025Philippon, Patrice 29 1995 New aspects of transcendence. (Nouveaux aspects de la transcendance.) Zbl 0843.11035Philippon, Patrice 1 1995 Sur des hauteurs alternatives. II (On alternative heights. II). Zbl 0878.11024Philippon, Patrice 10 1994 Mahler’s classification and local distances. (Classification de Mahler et distances locales.) Zbl 0799.11019Philippon, Patrice 3 1994 Critères pour l’indépendance algébrique dans les anneaux diophantiens. (Criteria for algebraic independence in diophantine domains). Zbl 0781.13011Philippon, Patrice 5 1992 Sur des hauteurs alternatives. I. (On alternative heights. I). Zbl 0726.14017Philippon, Patrice 42 1991 Denominateurs dans le theoreme des zeros de Hilbert. (Nominators in Hilbert’s zero theorem). Zbl 0679.13010Philippon, Patrice 9 1991 Polynômes d’interpolation sur \({\mathbb{Z}}\) et \({\mathbb{Z}}[i]\). (Interpolating polynomials on \({\mathbb{Z}}\) and \({\mathbb{Z}}[i])\). Zbl 0701.11023Philippon, Patrice 3 1990 Formes linéaires de logarithmes elliptiques et mesures de transcendance. (Linear forms in elliptic logarithms and transcendence measures). Zbl 0692.10035Philippon, Patrice; Waldschmidt, Michel 4 1989 Effective Nullstellensatz and elimination. (Théorème des zéros effectif et élimination.) Zbl 0743.11036Philippon, P. 2 1989 Linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes sur les groupes algébriques commutatifs.) Zbl 0651.10023Philippon, Patrice; Waldschmidt, Michel 20 1988 Algebraic subgroups of commutative algebraic groups. (Sous-groupes algébriques de groupes algébriques commutatifs.) Zbl 0618.14020Bertrand, Daniel; Philippon, Patrice 13 1988 Lower bounds for linear forms in logarithms. Zbl 0659.10037Philippon, P.; Waldschmidt, M. 13 1988 Simultaneous linear forms in logarithms on commutative algebraic groups. (Formes linéaires de logarithmes simultanées sur les groupes algébriques commutatifs.) Zbl 0681.10024Philippon, P.; Waldschmidt, M. 6 1988 Addendum to the text of W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”. (A propos du texte de W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”.) Zbl 0641.14002Philippon, Patrice 2 1988 Errata et addenda à “Lemmes de zéros dans les groupes algébriques commutatifs”. (Errata and addenda to: “Zero theorems in commutative algebraic groups”). Zbl 0634.14001Philippon, Patrice 1 1987 Algebraic independence criteria. (Critères pour l’indépendance algébrique.) Zbl 0615.10044Philippon, Patrice 58 1986 Lemmes de zéros dans les groupes algébriques commutatifs. (Zero theorems in commutative algebraic groups). Zbl 0617.14001Philippon, Patrice 54 1986 Sur les mesures d’indépendance algébrique. (On measures of algebraic independence). Zbl 0567.10034Philippon, P. 7 1985 Les nombres transcendants. Zbl 0548.10021Bertrand, D.; Emsalem, M.; Gramain, F.; Huttner, M.; Langevin, M.; Laurent, M.; Mignotte, M.; Moreau, J.-C.; Philippon, P.; Reyssat, E.; Waldschmidt, M. 1 1984 Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem. (Variétés abeliennes et independance algébrique. II: Un analogue abelien du théorème de Lindemann-Weierstrass.) Zbl 0516.10026Philippon, P. 9 1983 Variétés abeliennes et independance algébrique. I. Zbl 0503.10024Philippon, P. 4 1983 Independance algébrique de valeurs de fonctions exponentielles p-adiques. Zbl 0459.10024Philippon, P. 7 1981 all cited Publications top 5 cited Publications all top 5 Cited by 248 Authors 23 Philippon, Patrice 17 Sombra, Martín 10 Roy, Damien 8 Waldschmidt, Michel 7 Amoroso, Francesco Antonio 7 Burgos Gil, José Ignacio 7 David, Sinnou 7 Gubler, Walter Bruno 7 Viada, Evelina 6 Gaudron, Éric 6 Masser, David William 6 Murty, Maruti Ram 6 Nakamaye, Michael 6 Rémond, Gaël 5 Ably, Mohammed 5 Li, Wei 5 Pardo, Luis Miguel 5 Tubbs, Robert 5 Yger, Alain 4 Bost, Jean-Benoît 4 Boucksom, Sébastien 4 Chen, Huayi 4 D’Andrea, Carlos 4 Diaz, Guy 4 Habegger, Philipp 4 Hirata-Kohno, Noriko 4 Jonsson, Mattias 3 Adamczewski, Boris 3 Berenstein, Carlos Alberto 3 Bosser, Vincent 3 Bundschuh, Peter 3 Caveny, Deanna M. 3 Chambert-Loir, Antoine 3 Delaunay, Sandra 3 Favre, Charles 3 Fischler, Stéphane 3 Gramain, Francois 3 Gun, Sanoli 3 Hajli, Mounir 3 Heintz, Joos 3 Jeronimo, Gabriela 3 Künnemann, Klaus 3 Laurent, Michel 3 Morais, Jose Enrique 3 Moriwaki, Atsushi 3 Pazuki, Fabien 3 Pellarin, Federico 3 Pontreau, Corentin 3 Ratazzi, Nicolas 3 Rath, Purusottam 3 Schmidt, Wolfgang M. 3 Töpfer, Thomas 3 Väänänen, Keijo O. 3 Wüstholz, Gisbert 3 Zannier, Umberto M. 3 Zorin, Evgeniy V. 2 Autissier, Pascal 2 Bainbridge, Matt 2 Ballaÿ, François 2 Bertrand, Daniel 2 Bombieri, Enrico 2 Boxall, John L. 2 Bugeaud, Yann 2 Chardin, Marc 2 Checcoli, Sara 2 de Jong, Robin 2 Denis, Laurent 2 Dill, Gabriel A. 2 Elsner, Carsten 2 Fernandes, Gwladys 2 Gao, Xiaoshan 2 Giusti, Marc 2 Hägele, Klemens 2 Ikoma, Hideaki 2 Jell, Philipp 2 Kholyavka, Yaroslav M. 2 Langevin, Michel 2 Li, Yinghong 2 Liţcanu, Răzvan 2 Martin, Florent 2 Martínez, César 2 Möller, Martin 2 Pintér, Ákos 2 Saha, Biswajyoti 2 Saha, Ekata 2 Shiokawa, Iekata 2 Solernó, Pablo 2 Veneziano, Francesco 1 Abbes, Ahmed 1 Aleksentsev, Yu. M. 1 Almeida, Marcela 1 Amou, Masaaki 1 Andersen, Nickolas 1 Aschenbrenner, Matthias 1 Ascher, Kenneth 1 Avendano, Martin 1 Bartolome, Boris 1 Basu, Saugata 1 Becker, Paul-Georg 1 Bell, Jason P. ...and 148 more Authors all top 5 Cited in 92 Serials 18 Journal of Number Theory 17 Journal de Théorie des Nombres de Bordeaux 14 Transactions of the American Mathematical Society 13 Compositio Mathematica 12 Annales de l’Institut Fourier 12 Inventiones Mathematicae 11 Mathematische Annalen 9 International Journal of Number Theory 8 The Ramanujan Journal 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin de la Société Mathématique de France 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 6 Journal of the American Mathematical Society 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Duke Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Monatshefte für Mathematik 4 Journal of Complexity 4 Journal of Algebraic Geometry 4 Algebra & Number Theory 3 Bulletin of the Australian Mathematical Society 3 Mathematics of Computation 3 Manuscripta Mathematica 3 Expositiones Mathematicae 3 Applicable Algebra in Engineering, Communication and Computing 3 Documenta Mathematica 3 Foundations of Computational Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Kyoto Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Publications Mathématiques 2 Mathematika 2 Proceedings of the Japan Academy. Series A 2 Advances in Applied Mathematics 2 Discrete & Computational Geometry 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Indagationes Mathematicae. New Series 2 Complex Analysis and Operator Theory 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Moscow Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematics in Computer Science 1 Forum of Mathematics, Sigma 1 Annales Mathématiques du Québec 1 Carpathian Mathematical Publications 1 Mathematics 1 Research in Number Theory 1 Algebraic Combinatorics all top 5 Cited in 27 Fields 224 Number theory (11-XX) 171 Algebraic geometry (14-XX) 34 Commutative algebra (13-XX) 33 Several complex variables and analytic spaces (32-XX) 21 Field theory and polynomials (12-XX) 14 Computer science (68-XX) 13 Convex and discrete geometry (52-XX) 9 Special functions (33-XX) 8 Functions of a complex variable (30-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 3 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) Citations by Year