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## Vojta, Paul Alan

Compute Distance To:
 Author ID: vojta.paul Published as: Vojta, Paul; Vojta, P. External Links: IdRef · MGP · Wikidata · GND
 Documents Indexed: 33 Publications since 1986, including 2 Books Reviewing Activity: 147 Reviews

#### Co-Authors

 28 single-authored 3 Ru, Min 1 Ballico, Edoardo 1 Colliot-Thélène, Jean-Louis 1 Feit, Walter 1 Kato, Kazuya
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#### Serials

 6 American Journal of Mathematics 4 Inventiones Mathematicae 2 Journal of Number Theory 2 IMRN. International Mathematics Research Notices 2 Lecture Notes in Mathematics 1 Compositio Mathematica 1 Monatshefte für Mathematik 1 Journal of the American Mathematical Society 1 Annals of Mathematics. Second Series
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#### Fields

 30 Number theory (11-XX) 22 Algebraic geometry (14-XX) 13 Several complex variables and analytic spaces (32-XX) 3 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 482 times in 336 Documents Cited by Year
Diophantine approximations and value distribution theory. Zbl 0609.14011
Vojta, Paul
1987
Integral points on subvarieties of semiabelian varieties. I. Zbl 1011.11040
Vojta, Paul
1996
Siegel’s theorem in the compact case. Zbl 0774.14019
Vojta, Paul
1991
Jets via Hasse-Schmidt derivations. Zbl 1194.13027
Vojta, Paul
2007
Diophantine approximation and Nevanlinna theory. Zbl 1258.11076
Vojta, P.
2011
A more general $$abc$$ conjecture. Zbl 0923.11059
Vojta, Paul
1998
On Cartan’s theorem and Cartan’s conjecture. Zbl 0877.11040
Vojta, Paul
1997
Diagonal quadratic forms and Hilbert’s Tenth Problem. Zbl 0995.11070
Vojta, Paul
2000
Schmidt’s subspace theorem with moving targets. Zbl 1013.11044
Ru, Min; Vojta, Paul
1997
A refinement of Schmidt’s subspace theorem. Zbl 0662.14002
Vojta, Paul
1989
A generalization of theorems of Faltings and Thue-Siegel-Roth-Wirsing. Zbl 0778.11037
Vojta, Paul
1992
Integral points of subvarieties of semiabelian varieties. II. Zbl 1018.11027
Vojta, Paul
1999
Dyson’s lemma for products of two curves of arbitrary genus. Zbl 0666.10024
Vojta, Paul
1989
On the $$abc$$ conjecture and Diophantine approximation by rational points. Zbl 1037.11052
Vojta, Paul
2000
Applications of arithmetic algebraic geometry to diophantine approximations. Zbl 0846.14009
Vojta, Paul
1993
Mordell’s conjecture over function fields. Zbl 0662.14019
Vojta, Paul
1989
Nevanlinna theory and diophantine approximation. Zbl 0960.32013
Vojta, Paul
1999
On algebraic points on curves. Zbl 0731.14015
Vojta, Paul
1991
Examples of some $${\mathbb{Q}}$$-admissible groups. Zbl 0619.12007
Feit, Walter; Vojta, Paul
1987
Arithmetic discriminants and quadratic points on curves. Zbl 0749.14018
Vojta, Paul
1991
A birational Nevanlinna constant and its consequences. Zbl 1457.32044
Ru, Min; Vojta, Paul
2020
Roth’s theorem with moving targets. Zbl 0877.11041
Vojta, Paul
1996
A higher dimensional Mordell conjecture. Zbl 0605.14019
Vojta, Paul
1986
A lang exceptional set for integral points. Zbl 1327.14119
Vojta, Paul
2015
On the Nochka-Chen-Ru-Wong proof of Cartan’s conjecture. Zbl 1221.11155
Vojta, Paul
2007
A birational Nevanlinna constant and its consequences. Zbl 1457.32044
Ru, Min; Vojta, Paul
2020
A lang exceptional set for integral points. Zbl 1327.14119
Vojta, Paul
2015
Diophantine approximation and Nevanlinna theory. Zbl 1258.11076
Vojta, P.
2011
Jets via Hasse-Schmidt derivations. Zbl 1194.13027
Vojta, Paul
2007
On the Nochka-Chen-Ru-Wong proof of Cartan’s conjecture. Zbl 1221.11155
Vojta, Paul
2007
Diagonal quadratic forms and Hilbert’s Tenth Problem. Zbl 0995.11070
Vojta, Paul
2000
On the $$abc$$ conjecture and Diophantine approximation by rational points. Zbl 1037.11052
Vojta, Paul
2000
Integral points of subvarieties of semiabelian varieties. II. Zbl 1018.11027
Vojta, Paul
1999
Nevanlinna theory and diophantine approximation. Zbl 0960.32013
Vojta, Paul
1999
A more general $$abc$$ conjecture. Zbl 0923.11059
Vojta, Paul
1998
On Cartan’s theorem and Cartan’s conjecture. Zbl 0877.11040
Vojta, Paul
1997
Schmidt’s subspace theorem with moving targets. Zbl 1013.11044
Ru, Min; Vojta, Paul
1997
Integral points on subvarieties of semiabelian varieties. I. Zbl 1011.11040
Vojta, Paul
1996
Roth’s theorem with moving targets. Zbl 0877.11041
Vojta, Paul
1996
Applications of arithmetic algebraic geometry to diophantine approximations. Zbl 0846.14009
Vojta, Paul
1993
A generalization of theorems of Faltings and Thue-Siegel-Roth-Wirsing. Zbl 0778.11037
Vojta, Paul
1992
Siegel’s theorem in the compact case. Zbl 0774.14019
Vojta, Paul
1991
On algebraic points on curves. Zbl 0731.14015
Vojta, Paul
1991
Arithmetic discriminants and quadratic points on curves. Zbl 0749.14018
Vojta, Paul
1991
A refinement of Schmidt’s subspace theorem. Zbl 0662.14002
Vojta, Paul
1989
Dyson’s lemma for products of two curves of arbitrary genus. Zbl 0666.10024
Vojta, Paul
1989
Mordell’s conjecture over function fields. Zbl 0662.14019
Vojta, Paul
1989
Diophantine approximations and value distribution theory. Zbl 0609.14011
Vojta, Paul
1987
Examples of some $${\mathbb{Q}}$$-admissible groups. Zbl 0619.12007
Feit, Walter; Vojta, Paul
1987
A higher dimensional Mordell conjecture. Zbl 0605.14019
Vojta, Paul
1986
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#### Cited by 278 Authors

 20 Ru, Min 12 Levin, Aaron 12 Wang, Julie Tzu-Yueh 10 Ghioca, Dragos 9 Pasten, Hector V. 9 Tucker, Thomas John 6 Corvaja, Pietro 6 Silverman, Joseph Hillel 6 Vojta, Paul Alan 6 Yasufuku, Yu 6 Zannier, Umberto M. 5 Abramovich, Dan 5 Hu, Peichu 5 Korhonen, Risto 5 McKinnon, David 5 Mourtada, Hussein 5 Rémond, Gaël 5 Yan, Qiming 5 Yang, Chung-Chun 5 Ye, Zhuan 4 Docampo, Roi 4 Garcia-Fritz, Natalia 4 Guo, Ji 4 Vidaux, Xavier 3 Bombieri, Enrico 3 Bravo, Ana María 3 Chen, Zhihua 3 de Fernex, Tommaso 3 Encinas, Santiago 3 Evertse, Jan-Hendrik 3 Harris, Joseph Daniel 3 Hindes, Wade 3 Kato, Kazuya 3 Lang, Serge 3 Langmann, Klaus 3 McQuillan, Michael 3 Murty, Maruti Ram 3 Nguyen, Khoa Dang 3 Noguchi, Junjiro 3 Rousseau, Erwan 3 Si Duc Quang 3 Tschinkel, Yuri 3 Turchet, Amos 3 van der Poorten, Alfred J. 3 van Frankenhuijsen, Machiel 3 Várilly-Alvarado, Anthony 3 Viada, Evelina 3 Voloch, José Felipe 3 Yu, Guangsheng 3 Zieve, Michael E. 2 Autissier, Pascal 2 Brown, Martin L. 2 Buium, Alexandru 2 Campana, Frédéric 2 Chambert-Loir, Antoine 2 Dethloff, Gerd-Eberhard 2 Dill, Gabriel A. 2 Đỗ Đức Thái 2 Farhi, Bakir 2 Gasbarri, Carlo 2 Gillet, Henri A. 2 Grieve, Nathan Mark 2 Hassett, Brendan 2 Huang, Hsiu-Lien 2 Ichimura, Humio 2 Ih, Su-ion 2 Ingram, Patrick 2 Ishii, Shihoko 2 Ji, Qingchun 2 Kim, Minhyong 2 Kowalski, Piotr 2 Kulesz, Leopoldo 2 Langlois, Kevin 2 Lee, Jung-Jo 2 Leyton-Alvarez, Maximiliano 2 Liu, Yuancheng 2 Looper, Nicole R. 2 Manin, Yuri Ivanovich 2 Matsuzawa, Yohsuke 2 Mochizuki, Shinichi 2 Nakamaye, Michael 2 Narváez-Macarro, Luis 2 Neftin, Danny 2 Pascual-Escudero, Beatriz 2 Reguera, Ana-José 2 Roth, Mike 2 Rout, Sudhansu Sekhar 2 Satriano, Matthew 2 Scanlon, Thomas J. 2 Soulé, Christophe 2 Stewart, Cameron L. 2 Tạ Thị Hoài An 2 Tirado Hernández, María de la Paz 2 Tohge, Kazuya 2 Tran Van Tan 2 Tu, Zhenhan 2 Veneziano, Francesco 2 Whang, Junho Peter 2 Winkelmann, Jörg 2 Yu, Kunrui ...and 178 more Authors
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#### Cited in 93 Serials

 28 Journal of Number Theory 28 Transactions of the American Mathematical Society 18 Inventiones Mathematicae 15 Compositio Mathematica 14 Duke Mathematical Journal 13 Mathematische Annalen 13 Proceedings of the American Mathematical Society 10 Journal de Théorie des Nombres de Bordeaux 10 International Journal of Number Theory 7 Annales de l’Institut Fourier 7 Journal of Algebra 7 Mathematische Zeitschrift 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Israel Journal of Mathematics 6 Advances in Mathematics 6 Monatshefte für Mathematik 5 Bulletin of the American Mathematical Society. New Series 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Pure and Applied Algebra 4 Manuscripta Mathematica 4 Science China. Mathematics 3 Communications in Algebra 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Canadian Mathematical Bulletin 3 Proceedings of the Japan Academy. Series A 3 Journal of the American Mathematical Society 3 Forum Mathematicum 3 Science in China. Series A 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Geometric and Functional Analysis. GAFA 2 Journal of Algebraic Geometry 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Computational Methods and Function Theory 2 Journal of the Institute of Mathematics of Jussieu 2 Complex Variables and Elliptic Equations 2 Forum of Mathematics, Sigma 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Mathematical Notes 1 Acta Arithmetica 1 Acta Mathematica 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Le Matematiche 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Annals of Pure and Applied Logic 1 Applied Numerical Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Annales Mathématiques Blaise Pascal 1 The Bulletin of Symbolic Logic 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Transformation Groups 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Albanian Journal of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Mathematics 1 Research in Number Theory
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#### Cited in 24 Fields

 227 Number theory (11-XX) 184 Algebraic geometry (14-XX) 65 Several complex variables and analytic spaces (32-XX) 37 Functions of a complex variable (30-XX) 30 Dynamical systems and ergodic theory (37-XX) 17 Commutative algebra (13-XX) 16 Field theory and polynomials (12-XX) 7 Associative rings and algebras (16-XX) 5 Mathematical logic and foundations (03-XX) 5 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Wikidata Timeline

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