Edit Profile (opens in new tab) Corvaja, Pietro Co-Author Distance Author ID: corvaja.pietro Published as: Corvaja, Pietro; Corvaja, P. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 76 Publications since 1992, including 4 Books and 6 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 30 Reviews Co-Authors: 41 Co-Authors with 69 Joint Publications 1,019 Co-Co-Authors all top 5 Co-Authors 10 single-authored 55 Zannier, Umberto M. 5 Demeio, Julian Lawrence 5 Zucconi, Francesco 3 Masser, David William 3 Rapinchuk, Andrei S. 3 Ren, Jinbo 2 Bugeaud, Yann 2 Casagrande, Alberto 2 Catanese, Fabrizio M. E. 2 Gasbarri, Carlo 2 Levin, Aaron 2 Lombardo, Davide M. 2 Noguchi, Junjiro 2 Piazza, Carla 2 Turchet, Amos 1 André, Yves 1 Bolognesi, Michele 1 Claudon, Benoît 1 Demailly, Jean-Pierre 1 DeMarco, Laura Grace 1 Diverio, Simone 1 Duval, Julien 1 Ghioca, Dragos 1 Habegger, Philipp 1 Hančl, Jaroslav 1 Javanpeykar, Ariyan 1 Kebekus, Stefan 1 Mishra, Bud 1 Omodeo, Eugenio Giovanni 1 Paun, Mihai 1 Petronio, Carlo 1 Pirola, Gian Pietro 1 Rousseau, Erwan 1 Rudnick, Zeév 1 Scanlon, Thomas J. 1 Schmidt, Wolfgang M. 1 Sibony, Nessim 1 Sookdeo, Vijay A. 1 Taji, Behrouz 1 Tsimerman, Jacob 1 Tucker, Thomas John 1 Vallata, Luca 1 Voisin, Claire all top 5 Serials 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Journal of Differential Geometry 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Rendiconti del Seminario Matematico 1 IMRN. International Mathematics Research Notices 1 Elemente der Mathematik 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Rivista di Matematica della Università di Parma. Serie 7 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 Lecture Notes in Mathematics 1 Panoramas et Synthèses 1 Rivista di Matematica della Università di Parma. New Series 1 European Journal of Mathematics 1 Institute of Mathematical Sciences Lecture Notes 1 Épijournal de Géométrie Algébrique. EPIGA 1 HBA Lecture Notes in Mathematics all top 5 Fields 58 Number theory (11-XX) 38 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 638 times in 347 Documents Cited by ▼ Year ▼ An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001 Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto 50 2003 On a general Thue’s equation. Zbl 1125.11022 Corvaja, Pietro; Zannier, Umberto 47 2004 A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035 Corvaja, Pietro; Zannier, Umberto 38 2005 On integral points on surfaces. Zbl 1146.11035 Corvaja, P.; Zannier, U. 34 2004 Some new applications of the subspace theorem. Zbl 1010.11038 Corvaja, Pietro; Zannier, Umberto 32 2002 Diophantine equations with power sums and universal Hilbert sets. Zbl 0923.11103 Corvaja, P.; Zannier, U. 31 1998 Finiteness of integral values for the ratio of two linear recurrences. Zbl 1026.11021 Corvaja, Pietro; Zannier, Umberto 26 2002 Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146 Corvaja, Pietro; Zannier, Umberto 23 2008 On the greatest prime factor of \((ab+1)(ac+1)\). Zbl 1077.11052 Corvaja, P.; Zannier, U. 23 2003 On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France. Zbl 1175.11036 Corvaja, Pietro; Zannier, Umberto 19 2004 The Betti map associated to a section of an abelian scheme. Zbl 1460.11083 André, Y.; Corvaja, P.; Zannier, U. 17 2020 Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields. Zbl 1325.11060 Corvaja, Pietro; Zannier, Umberto 16 2013 A subspace theorem approach to integral points on curves. Zbl 1012.11051 Corvaja, Pietro; Zannier, Umberto 16 2002 On the diophantine equation \(f(a^m,y)=b^n\). Zbl 0963.11020 Corvaja, Pietro; Zannier, Umberto 15 2000 Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004 Corvaja, Pietro; Zannier, Umberto 15 2018 Finiteness of odd perfect powers with four nonzero binary digits. (Finitude des puissances pures impaires avec quatre chiffres non nuls.) Zbl 1294.11117 Corvaja, Pietro; Zannier, Umberto 14 2013 On the number of integral points on algebraic curves. Zbl 1153.11315 Corvaja, Pietro; Zannier, Umberto 13 2003 On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044 Corvaja, Pietro; Zannier, Umberto 13 2017 Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\)). Zbl 1294.14013 Corvaja, Pietro; Zannier, Umberto 12 2013 The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. Zbl 1465.11150 Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto 11 2021 Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029 Corvaja, Pietro; Masser, David; Zannier, Umberto 11 2018 Integral points on threefolds and other varieties. Zbl 1250.11066 Corvaja, Pietro; Levin, Aaron; Zannier, Umberto 10 2009 Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028 Corvaja, Pietro; Zannier, Umberto 10 2010 Osculating spaces and Diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier). Zbl 1221.14038 Bolognesi, Michele; Pirola, Gianpietro 9 2011 On the torsion values for sections of an elliptic scheme. Zbl 1485.14085 Corvaja, Pietro; Demeio, Julian; Masser, David; Zannier, Umberto 9 2022 On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021 Corvaja, Pietro; Zannier, Umberto 8 2005 \(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033 Corvaja, Pietro; Zannier, Umberto 8 2005 On certain permutation groups and sums of two squares. Zbl 1306.11006 Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto 6 2012 Rational fixed points for linear group actions. Zbl 1207.11067 Corvaja, Pietro 6 2007 On the integral points on certain surfaces. Zbl 1145.14023 Corvaja, Pietro; Zannier, Umberto 6 2006 On the distribution of rational points on ramified covers of abelian varieties. Zbl 1506.14048 Corvaja, Pietro; Demeio, Julian Lawrence; Javanpeykar, Ariyan; Lombardo, Davide; Zannier, Umberto 6 2022 Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045 Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M. 6 2022 A new unicity theorem and Erdös’ problem for polarized semi-abelian varieties. Zbl 1315.14058 Corvaja, Pietro; Noguchi, Junjiro 5 2012 A lower bound for periods of matrices. Zbl 1124.11306 Corvaja, Pietro; Rudnick, Zéev; Zannier, Umberto 5 2004 Integral points on algebraic varieties. An introduction to Diophantine geometry. Zbl 1336.14002 Corvaja, Pietro 5 2016 Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051 Corvaja, Pietro; Masser, David; Zannier, Umberto 5 2013 Composing semi-algebraic o-minimal automata. Zbl 1207.93064 Casagrande, A.; Corvaja, P.; Piazza, C.; Mishra, B. 4 2007 An \(abcd\) theorem over function fields and applications. Zbl 1252.11031 Corvaja, Pietro; Zannier, Umberto 4 2011 Integral points on algebraic varieties. An introduction to Diophantine geometry. Zbl 1454.14001 Corvaja, Pietro 4 2016 On the greatest prime factor of Markov pairs. Zbl 1215.11028 Zannier, Umberto; Corvaja, Pietro 4 2006 A transcendence criterion for infinite products. Zbl 1207.11075 Corvaja, Pietro; Hančl, Jaroslav 4 2007 On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\). Zbl 1150.11023 Corvaja, Pietro; Zannier, Umberto 4 2008 Integral points in two-parameter orbits. Zbl 1329.14049 Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto 4 2015 On Roth’s theorem. (Autour de théorème de Roth.) Zbl 0883.11033 Corvaja, Pietro 3 1997 Teichmüller spaces of generalized hyperelliptic manifolds. Zbl 1391.32022 Catanese, Fabrizio; Corvaja, Pietro 3 2017 Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. Zbl 1245.11086 Corvaja, Pietro; Zannier, Umberto 3 2008 Quartic surface, its bitangents and rational points. Zbl 1507.14033 Corvaja, Pietro; Zucconi, Francesco 3 2023 Unramified sections of the Legendre scheme and modular forms. Zbl 1497.11147 Corvaja, Pietro; Zannier, Umberto 2 2021 On the rank of certain matrices. Zbl 1275.11060 Corvaja, Pietro; Zannier, Umberto 2 2011 Une application nouvelle de la méthode de Thue. (A new application of Thue’s method). Zbl 0833.11030 Corvaja, Pietro 2 1995 Problems and results on integral points on rational surfaces. Zbl 1144.11049 Corvaja, Pietro 2 2007 Decidable compositions of o-minimal automata. Zbl 1183.68335 Casagrande, Alberto; Corvaja, Pietro; Piazza, Carla; Mishra, Bud 2 2008 On the existence of covers of \(\mathbb{P}_1\) associated to certain permutations. Zbl 1391.14064 Corvaja, Pietro; Zannier, Umberto 2 2018 On the local-to-global principle for value sets. Zbl 1509.11056 Corvaja, Pietro 2 2022 The surface of Gauss double points. Zbl 1498.14096 Corvaja, Pietro; Zucconi, Francesco 2 2022 The Diophantine equation \(\alpha _{1}^{x_{1}} \cdots \alpha _{n}^{x_{n}} = f(x_{1},\dots ,x_{n})\). II. Zbl 1194.11042 Corvaja, P.; Schmidt, W. M.; Zannier, U. 1 2010 Arithmetic on infinite extensions of function fields. Zbl 0896.11046 Corvaja, Pietro; Zannier, Umberto 1 1997 Le théorème de Roth par un déterminant d’interpolation. (Roth’s theorem via an interpolation determinant). Zbl 0784.11030 Corvaja, Pietro 1 1992 Fibred algebraic surfaces and commutators in the symplectic group. Zbl 1470.14022 Catanese, Fabrizio; Corvaja, Pietro; Zannier, Umberto 1 2020 Arithmetic geometry. Lectures given at the C.I.M.E summer school, Cetraro, Italy, September 10–15, 2007. Zbl 1202.11002 1 2011 Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell-Lang conjecture. Zbl 1541.14043 Corvaja, Pietro; Zannier, Umberto 1 2023 Hyperbolicity properties of algebraic varieties. Edited by S. Diverio. (Propriétés d’hyperbolicité des variétés algébriques.) Zbl 1487.32001 Claudon, Benoît; Corvaja, Pietro; Demailly, Jean-Pierre; Diverio, Simone; Duval, Julien; Gasbarri, Carlo; Kebekus, Stefan; Paun, Mihai; Rousseau, Erwan; Sibony, Nessim; Taji, Behrouz; Voisin, Claire 1 2021 Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) Zbl 1519.11016 Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M. 1 2022 Intersections in subvarieties of \(\mathbb{G}_{\mathrm{m}}^l\) and applications to lacunary polynomials. Zbl 1490.14098 Corvaja, Pietro; Levin, Aaron; Zannier, Umberto 1 2022 Analytic and rational sections of relative semi-abelian varieties. Zbl 1495.32042 Corvaja, Pietro; Noguchi, Junjiro; Zannier, Umberto 1 2022 Around the Chevalley-Weil theorem. Zbl 1499.14044 Corvaja, Pietro; Turchet, Amos; Zannier, Umberto 1 2022 Quartic surface, its bitangents and rational points. Zbl 1507.14033 Corvaja, Pietro; Zucconi, Francesco 3 2023 Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell-Lang conjecture. Zbl 1541.14043 Corvaja, Pietro; Zannier, Umberto 1 2023 On the torsion values for sections of an elliptic scheme. Zbl 1485.14085 Corvaja, Pietro; Demeio, Julian; Masser, David; Zannier, Umberto 9 2022 On the distribution of rational points on ramified covers of abelian varieties. Zbl 1506.14048 Corvaja, Pietro; Demeio, Julian Lawrence; Javanpeykar, Ariyan; Lombardo, Davide; Zannier, Umberto 6 2022 Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045 Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M. 6 2022 On the local-to-global principle for value sets. Zbl 1509.11056 Corvaja, Pietro 2 2022 The surface of Gauss double points. Zbl 1498.14096 Corvaja, Pietro; Zucconi, Francesco 2 2022 Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) Zbl 1519.11016 Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M. 1 2022 Intersections in subvarieties of \(\mathbb{G}_{\mathrm{m}}^l\) and applications to lacunary polynomials. Zbl 1490.14098 Corvaja, Pietro; Levin, Aaron; Zannier, Umberto 1 2022 Analytic and rational sections of relative semi-abelian varieties. Zbl 1495.32042 Corvaja, Pietro; Noguchi, Junjiro; Zannier, Umberto 1 2022 Around the Chevalley-Weil theorem. Zbl 1499.14044 Corvaja, Pietro; Turchet, Amos; Zannier, Umberto 1 2022 The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. Zbl 1465.11150 Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto 11 2021 Unramified sections of the Legendre scheme and modular forms. Zbl 1497.11147 Corvaja, Pietro; Zannier, Umberto 2 2021 Hyperbolicity properties of algebraic varieties. Edited by S. Diverio. (Propriétés d’hyperbolicité des variétés algébriques.) Zbl 1487.32001 Claudon, Benoît; Corvaja, Pietro; Demailly, Jean-Pierre; Diverio, Simone; Duval, Julien; Gasbarri, Carlo; Kebekus, Stefan; Paun, Mihai; Rousseau, Erwan; Sibony, Nessim; Taji, Behrouz; Voisin, Claire 1 2021 The Betti map associated to a section of an abelian scheme. Zbl 1460.11083 André, Y.; Corvaja, P.; Zannier, U. 17 2020 Fibred algebraic surfaces and commutators in the symplectic group. Zbl 1470.14022 Catanese, Fabrizio; Corvaja, Pietro; Zannier, Umberto 1 2020 Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004 Corvaja, Pietro; Zannier, Umberto 15 2018 Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029 Corvaja, Pietro; Masser, David; Zannier, Umberto 11 2018 On the existence of covers of \(\mathbb{P}_1\) associated to certain permutations. Zbl 1391.14064 Corvaja, Pietro; Zannier, Umberto 2 2018 On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044 Corvaja, Pietro; Zannier, Umberto 13 2017 Teichmüller spaces of generalized hyperelliptic manifolds. Zbl 1391.32022 Catanese, Fabrizio; Corvaja, Pietro 3 2017 Integral points on algebraic varieties. An introduction to Diophantine geometry. Zbl 1336.14002 Corvaja, Pietro 5 2016 Integral points on algebraic varieties. An introduction to Diophantine geometry. Zbl 1454.14001 Corvaja, Pietro 4 2016 Integral points in two-parameter orbits. Zbl 1329.14049 Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto 4 2015 Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields. Zbl 1325.11060 Corvaja, Pietro; Zannier, Umberto 16 2013 Finiteness of odd perfect powers with four nonzero binary digits. (Finitude des puissances pures impaires avec quatre chiffres non nuls.) Zbl 1294.11117 Corvaja, Pietro; Zannier, Umberto 14 2013 Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\)). Zbl 1294.14013 Corvaja, Pietro; Zannier, Umberto 12 2013 Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051 Corvaja, Pietro; Masser, David; Zannier, Umberto 5 2013 On certain permutation groups and sums of two squares. Zbl 1306.11006 Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto 6 2012 A new unicity theorem and Erdös’ problem for polarized semi-abelian varieties. Zbl 1315.14058 Corvaja, Pietro; Noguchi, Junjiro 5 2012 Osculating spaces and Diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier). Zbl 1221.14038 Bolognesi, Michele; Pirola, Gianpietro 9 2011 An \(abcd\) theorem over function fields and applications. Zbl 1252.11031 Corvaja, Pietro; Zannier, Umberto 4 2011 On the rank of certain matrices. Zbl 1275.11060 Corvaja, Pietro; Zannier, Umberto 2 2011 Arithmetic geometry. Lectures given at the C.I.M.E summer school, Cetraro, Italy, September 10–15, 2007. Zbl 1202.11002 1 2011 Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028 Corvaja, Pietro; Zannier, Umberto 10 2010 The Diophantine equation \(\alpha _{1}^{x_{1}} \cdots \alpha _{n}^{x_{n}} = f(x_{1},\dots ,x_{n})\). II. Zbl 1194.11042 Corvaja, P.; Schmidt, W. M.; Zannier, U. 1 2010 Integral points on threefolds and other varieties. Zbl 1250.11066 Corvaja, Pietro; Levin, Aaron; Zannier, Umberto 10 2009 Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146 Corvaja, Pietro; Zannier, Umberto 23 2008 On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\). Zbl 1150.11023 Corvaja, Pietro; Zannier, Umberto 4 2008 Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. Zbl 1245.11086 Corvaja, Pietro; Zannier, Umberto 3 2008 Decidable compositions of o-minimal automata. Zbl 1183.68335 Casagrande, Alberto; Corvaja, Pietro; Piazza, Carla; Mishra, Bud 2 2008 Rational fixed points for linear group actions. Zbl 1207.11067 Corvaja, Pietro 6 2007 Composing semi-algebraic o-minimal automata. Zbl 1207.93064 Casagrande, A.; Corvaja, P.; Piazza, C.; Mishra, B. 4 2007 A transcendence criterion for infinite products. Zbl 1207.11075 Corvaja, Pietro; Hančl, Jaroslav 4 2007 Problems and results on integral points on rational surfaces. Zbl 1144.11049 Corvaja, Pietro 2 2007 On the integral points on certain surfaces. Zbl 1145.14023 Corvaja, Pietro; Zannier, Umberto 6 2006 On the greatest prime factor of Markov pairs. Zbl 1215.11028 Zannier, Umberto; Corvaja, Pietro 4 2006 A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035 Corvaja, Pietro; Zannier, Umberto 38 2005 On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021 Corvaja, Pietro; Zannier, Umberto 8 2005 \(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033 Corvaja, Pietro; Zannier, Umberto 8 2005 On a general Thue’s equation. Zbl 1125.11022 Corvaja, Pietro; Zannier, Umberto 47 2004 On integral points on surfaces. Zbl 1146.11035 Corvaja, P.; Zannier, U. 34 2004 On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France. Zbl 1175.11036 Corvaja, Pietro; Zannier, Umberto 19 2004 A lower bound for periods of matrices. Zbl 1124.11306 Corvaja, Pietro; Rudnick, Zéev; Zannier, Umberto 5 2004 An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001 Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto 50 2003 On the greatest prime factor of \((ab+1)(ac+1)\). Zbl 1077.11052 Corvaja, P.; Zannier, U. 23 2003 On the number of integral points on algebraic curves. Zbl 1153.11315 Corvaja, Pietro; Zannier, Umberto 13 2003 Some new applications of the subspace theorem. Zbl 1010.11038 Corvaja, Pietro; Zannier, Umberto 32 2002 Finiteness of integral values for the ratio of two linear recurrences. Zbl 1026.11021 Corvaja, Pietro; Zannier, Umberto 26 2002 A subspace theorem approach to integral points on curves. Zbl 1012.11051 Corvaja, Pietro; Zannier, Umberto 16 2002 On the diophantine equation \(f(a^m,y)=b^n\). Zbl 0963.11020 Corvaja, Pietro; Zannier, Umberto 15 2000 Diophantine equations with power sums and universal Hilbert sets. Zbl 0923.11103 Corvaja, P.; Zannier, U. 31 1998 On Roth’s theorem. (Autour de théorème de Roth.) Zbl 0883.11033 Corvaja, Pietro 3 1997 Arithmetic on infinite extensions of function fields. Zbl 0896.11046 Corvaja, Pietro; Zannier, Umberto 1 1997 Une application nouvelle de la méthode de Thue. (A new application of Thue’s method). Zbl 0833.11030 Corvaja, Pietro 2 1995 Le théorème de Roth par un déterminant d’interpolation. (Roth’s theorem via an interpolation determinant). Zbl 0784.11030 Corvaja, Pietro 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 320 Authors 33 Zannier, Umberto M. 31 Corvaja, Pietro 18 Luca, Florian 16 Bugeaud, Yann 14 Wang, Julie Tzu-Yueh 11 Fuchs, Clemens 11 Sĩ Đức Quang 10 Ghioca, Dragos 10 Levin, Aaron 9 Shparlinski, Igor E. 8 Javanpeykar, Ariyan 8 Ru, Min 7 Turchet, Amos 7 Yan, Qiming 6 Demeio, Julian Lawrence 6 Gao, Ziyang 6 Guo, Ji 6 Habegger, Philipp 6 Kaneko, Hajime 6 Ostafe, Alina 6 Petronio, Carlo 6 Sanna, Carlo 6 Silverman, Joseph Hillel 5 Heintze, Sebastian 5 Yasufuku, Yu 4 Bell, Jason P. 4 Bennett, Michael A. 4 Cao, Tingbin 4 Capuano, Laura 4 Dubickas, Artūras 4 Kumar, Veekesh 4 Miles, Richard B. 4 Qi, Wenfeng 4 Saleh, Sina 4 Tran Van Tan 4 Yu, Guangsheng 4 Zheng, Qunxiong 3 Adamczewski, Boris 3 Bundschuh, Peter 3 Hajdu, Lajos 3 Hančl, Jaroslav 3 König, Joachim 3 Le Fourn, Samuel 3 Noguchi, Junjiro 3 Schmidt, Harry 3 Tucker, Thomas John 3 Ziegler, Volker 2 Barroero, Fabrizio 2 Bary-Soroker, Lior 2 Bilu, Yuri F. 2 Bourgain, Jean 2 Chen, Zhihua 2 DeMarco, Laura Grace 2 Dethloff, Gerd-Eberhard 2 Dimitrov, Vesselin 2 Fehm, Arno 2 Gamburd, Alexander 2 Gillibert, Jean 2 Grieve, Nathan Mark 2 Hsia, Liang-Chung 2 Hu, Peichu 2 Ji, Qingchun 2 Klahn, Benjamin 2 Le, Giang 2 Loughran, Daniel 2 Mavraki, Niki Myrto 2 Neftin, Danny 2 Nguyen Thi Nhung 2 Nguyen Van Thin 2 Nguyen, Khoa Dang 2 Pakovich, Fedor 2 Petersen, Sebastian 2 Pomerance, Carl Bernard 2 Rapinchuk, Andrei S. 2 Ren, Jinbo 2 Roques, Julien 2 Rousseau, Erwan 2 Sarnak, Peter Clive 2 Scremin, Amedeo 2 Shi, Lei 2 Stoll, Thomas 2 Sun, Chia-Liang 2 Thangadurai, Ravindranathan 2 Väänänen, Keijo O. 2 Waldschmidt, Michel 2 Ward, Thomas 2 Yang, Chung-Chun 2 Yang, Dong 2 Zucconi, Francesco 1 Aka, Menny 1 Allouche, Jean-Paul Simon 1 Aloui, Karam 1 Amoroso, Francesco Antonio 1 André, Yves 1 Ascher, Kenneth 1 Auffarth, Robert Frederick II 1 Autissier, Pascal 1 Bajpai, Prajeet 1 Banks, William David 1 Baroni, Filippo ...and 220 more Authors all top 5 Cited in 132 Serials 23 Journal of Number Theory 17 Transactions of the American Mathematical Society 15 International Journal of Number Theory 13 Journal de Théorie des Nombres de Bordeaux 9 Mathematische Annalen 8 Mathematische Zeitschrift 8 Proceedings of the American Mathematical Society 7 Annales de l’Institut Fourier 7 The Journal of Geometric Analysis 6 Bulletin of the Australian Mathematical Society 6 Journal für die Reine und Angewandte Mathematik 6 Monatshefte für Mathematik 6 Rendiconti del Seminario Matematico della Università di Padova 6 Algebra & Number Theory 6 Research in Number Theory 5 Acta Arithmetica 5 Bulletin of the London Mathematical Society 5 Compositio Mathematica 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Periodica Mathematica Hungarica 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Journal of the London Mathematical Society. Second Series 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Canadian Mathematical Bulletin 3 Manuscripta Mathematica 3 Pacific Journal of Mathematics 3 Ergodic Theory and Dynamical Systems 3 Experimental Mathematics 3 Journal of the European Mathematical Society (JEMS) 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of the Mathematical Society of Japan 2 Mathematika 2 Proceedings of the London Mathematical Society. Third Series 2 Theoretical Computer Science 2 Tôhoku Mathematical Journal. Second Series 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Designs, Codes and Cryptography 2 Indagationes Mathematicae. New Series 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Complex Variables and Elliptic Equations 2 Cryptography and Communications 2 Forum of Mathematics, Sigma 2 European Journal of Mathematics 1 Analysis Mathematica 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Differential Geometry 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 Topology and its Applications 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry ...and 32 more Serials all top 5 Cited in 24 Fields 270 Number theory (11-XX) 113 Algebraic geometry (14-XX) 57 Several complex variables and analytic spaces (32-XX) 35 Dynamical systems and ergodic theory (37-XX) 20 Functions of a complex variable (30-XX) 12 Field theory and polynomials (12-XX) 9 Group theory and generalizations (20-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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