Edit Profile (opens in new tab) Dvornicich, Roberto Compute Distance To: Compute Author ID: dvornicich.roberto Published as: Dvornicich, Roberto; Dvornicich, R.; Dvornicich, Robert External Links: MGP · Wikidata Documents Indexed: 54 Publications since 1978, including 3 Books Reviewing Activity: 150 Reviews Co-Authors: 13 Co-Authors with 48 Joint Publications 179 Co-Co-Authors all top 5 Co-Authors 6 single-authored 21 Zannier, Umberto M. 18 Del Corso, Ilaria 5 Forti, Marco 3 Chirivì, Rocco 2 Amoroso, Francesco Antonio 1 Codecà, Paolo 1 Del Corso, Gianna M. 1 Monge, Maurizio 1 Romani, Francesco 1 Simon, Denis 1 Traverso, Carlo 1 Veneziano, Francesco 1 Viola, Carlo all top 5 Serials 8 Acta Arithmetica 4 Journal of Number Theory 4 Monatshefte für Mathematik 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Algebra 3 Unitext 2 Bulletin of the London Mathematical Society 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Zeitschrift 1 Mathematika 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Rivista di Matematica della Università di Parma. Serie 7 1 International Journal of Number Theory 1 Bollettino della Unione Matematica Italiana. Series V. A all top 5 Fields 46 Number theory (11-XX) 14 Field theory and polynomials (12-XX) 9 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 203 times in 149 Documents Cited by ▼ Year ▼ A lower bound for the height in abelian extensions. Zbl 0973.11092Amoroso, Francesco; Dvornicich, Robert 37 2000 Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040Dvornicich, R.; Zannier, U. 17 2007 Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016Dvornicich, Roberto; Zannier, Umberto 17 2001 Fields containing values of algebraic functions. Zbl 0819.12003Dvornicich, R.; Zannier, U. 16 1994 An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007Dvornicich, Roberto; Zannier, Umberto 12 2004 On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011Dvornicich, Roberto; Zannier, Umberto 11 2007 Some remarks on Beukers’ integrals. Zbl 0755.11019Dvornicich, R.; Viola, C. 9 1990 On sums of roots of unity. Zbl 0953.11009Dvornicich, Roberto; Zannier, Umberto 8 2000 Lower bounds for the height and size of the ideal class group in CM-fields. Zbl 1040.11077Amoroso, Francesco; Dvornicich, Roberto 7 2003 The compositum of wild extensions of local fields of prime degree. Zbl 1126.11068Del Corso, Ilaria; Dvornicich, Roberto 6 2007 On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002Dvornicich, Roberto; Zannier, Umberto 6 2008 Large cyclic subgroups of finite groups. Zbl 0581.20022Dvornicich, R.; Forti, M. 6 1984 Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001Dvornicich, R.; Zannier, U. 5 1995 Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268Dvornicich, R.; Zannier, U. 3 2009 On Ore’s conjecture and its developments. Zbl 1155.11351Del Corso, Ilaria; Dvornicich, Roberto 3 2005 A criterion for the algebraic dependence of two complex numbers. Zbl 0393.10039Dvornicich, Roberto 3 1978 Solution of a problem about symmetric functions. Zbl 1062.12005Dvornicich, Roberto; Zannier, Umberto 3 2003 On Fuchs’ problem about the group of units of a ring. Zbl 1428.16036Del Corso, Ilaria; Dvornicich, Roberto 3 2018 Decomposition of primes in non-maximal orders. Zbl 1163.11342Del Corso, Ilaria; Dvornicich, Roberto; Simon, Denis 2 2005 Uniformity over primes of tamely ramified splittings. Zbl 0962.11037Del Corso, Ilaria; Dvornicich, Roberto 2 2000 A converse of Artin’s density theorem: The case of cubic fields. Zbl 0779.11047Del Corso, Ilaria; Dvornicich, Roberto 2 1993 Sums of roots of unity vanishing modulo a prime. Zbl 1007.11062Dvornicich, Roberto; Zannier, Umberto 2 2002 On polynomials taking small values at integral arguments. II. Zbl 1020.11018Dvornicich, Roberto; Tung, Shih Ping; Zannier, Umberto 2 2003 Finite groups with few dth roots of 1. Zbl 0558.20018Dvornicich, R.; Forti, M. 2 1984 On polynomials taking small values at integral arguments. Zbl 0515.10049Dvornicich, Roberto; Zannier, Umberto 2 1983 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014Dvornicich, Roberto; Traverso, Carlo 2 1989 On wild extensions of a \(p\)-adic field. Zbl 1369.11075Del Corso, Ilaria; Dvornicich, Roberto; Monge, Maurizio 2 2017 Number fields with the same index. Zbl 1003.11049Del Corso, Ilaria; Dvornicich, Roberto 2 2002 A note on Thue’s equation over function fields. Zbl 0820.11019Dvornicich, Roberto; Zannier, Umberto 2 1994 Paracyclic and quasi-cyclic groups. Zbl 0618.20018Dvornicich, R.; Forti, M. 2 1986 Finite groups of units of finite characteristic rings. Zbl 1405.16048Del Corso, Ilaria; Dvornicich, Roberto 2 2018 Relations among discriminant, different, and conductor of an order. Zbl 0948.13012Del Corso, Ilaria; Dvornicich, Roberto 1 2000 On a problem of cyclic permutations of integers. Zbl 0444.05003Dvornicich, Roberto 1 1980 On an equation in cyclotomic numbers. Zbl 0970.11039Dvornicich, Roberto 1 2001 Fractional parts of linear polynomials and an application to hypergeometric functions. Zbl 1019.11019Dvornicich, Roberto; Zannier, Umberto 1 2001 Uniformity over primes of unramified splittings. Zbl 0908.11054Del Corso, Ilaria; Dvornicich, Roberto 1 1998 On Fuchs’ problem about the group of units of a ring. Zbl 1428.16036Del Corso, Ilaria; Dvornicich, Roberto 3 2018 Finite groups of units of finite characteristic rings. Zbl 1405.16048Del Corso, Ilaria; Dvornicich, Roberto 2 2018 On wild extensions of a \(p\)-adic field. Zbl 1369.11075Del Corso, Ilaria; Dvornicich, Roberto; Monge, Maurizio 2 2017 Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268Dvornicich, R.; Zannier, U. 3 2009 On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002Dvornicich, Roberto; Zannier, Umberto 6 2008 Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040Dvornicich, R.; Zannier, U. 17 2007 On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011Dvornicich, Roberto; Zannier, Umberto 11 2007 The compositum of wild extensions of local fields of prime degree. Zbl 1126.11068Del Corso, Ilaria; Dvornicich, Roberto 6 2007 On Ore’s conjecture and its developments. Zbl 1155.11351Del Corso, Ilaria; Dvornicich, Roberto 3 2005 Decomposition of primes in non-maximal orders. Zbl 1163.11342Del Corso, Ilaria; Dvornicich, Roberto; Simon, Denis 2 2005 An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007Dvornicich, Roberto; Zannier, Umberto 12 2004 Lower bounds for the height and size of the ideal class group in CM-fields. Zbl 1040.11077Amoroso, Francesco; Dvornicich, Roberto 7 2003 Solution of a problem about symmetric functions. Zbl 1062.12005Dvornicich, Roberto; Zannier, Umberto 3 2003 On polynomials taking small values at integral arguments. II. Zbl 1020.11018Dvornicich, Roberto; Tung, Shih Ping; Zannier, Umberto 2 2003 Sums of roots of unity vanishing modulo a prime. Zbl 1007.11062Dvornicich, Roberto; Zannier, Umberto 2 2002 Number fields with the same index. Zbl 1003.11049Del Corso, Ilaria; Dvornicich, Roberto 2 2002 Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016Dvornicich, Roberto; Zannier, Umberto 17 2001 On an equation in cyclotomic numbers. Zbl 0970.11039Dvornicich, Roberto 1 2001 Fractional parts of linear polynomials and an application to hypergeometric functions. Zbl 1019.11019Dvornicich, Roberto; Zannier, Umberto 1 2001 A lower bound for the height in abelian extensions. Zbl 0973.11092Amoroso, Francesco; Dvornicich, Robert 37 2000 On sums of roots of unity. Zbl 0953.11009Dvornicich, Roberto; Zannier, Umberto 8 2000 Uniformity over primes of tamely ramified splittings. Zbl 0962.11037Del Corso, Ilaria; Dvornicich, Roberto 2 2000 Relations among discriminant, different, and conductor of an order. Zbl 0948.13012Del Corso, Ilaria; Dvornicich, Roberto 1 2000 Uniformity over primes of unramified splittings. Zbl 0908.11054Del Corso, Ilaria; Dvornicich, Roberto 1 1998 Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001Dvornicich, R.; Zannier, U. 5 1995 Fields containing values of algebraic functions. Zbl 0819.12003Dvornicich, R.; Zannier, U. 16 1994 A note on Thue’s equation over function fields. Zbl 0820.11019Dvornicich, Roberto; Zannier, Umberto 2 1994 A converse of Artin’s density theorem: The case of cubic fields. Zbl 0779.11047Del Corso, Ilaria; Dvornicich, Roberto 2 1993 Some remarks on Beukers’ integrals. Zbl 0755.11019Dvornicich, R.; Viola, C. 9 1990 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014Dvornicich, Roberto; Traverso, Carlo 2 1989 Paracyclic and quasi-cyclic groups. Zbl 0618.20018Dvornicich, R.; Forti, M. 2 1986 Large cyclic subgroups of finite groups. Zbl 0581.20022Dvornicich, R.; Forti, M. 6 1984 Finite groups with few dth roots of 1. Zbl 0558.20018Dvornicich, R.; Forti, M. 2 1984 On polynomials taking small values at integral arguments. Zbl 0515.10049Dvornicich, Roberto; Zannier, Umberto 2 1983 On a problem of cyclic permutations of integers. Zbl 0444.05003Dvornicich, Roberto 1 1980 A criterion for the algebraic dependence of two complex numbers. Zbl 0393.10039Dvornicich, Roberto 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 152 Authors 15 Dvornicich, Roberto 14 Zannier, Umberto M. 10 Amoroso, Francesco Antonio 7 Paladino, Laura 6 Del Corso, Ilaria 5 Ranieri, Gabriele 5 Shparlinski, Igor E. 4 Bilu, Yuri F. 4 David, Sinnou 4 Levin, Aaron 4 Luca, Florian 4 Ostafe, Alina 3 Bandini, Andrea 3 Checcoli, Sara 3 Forti, Marco 3 Galateau, Aurélien 3 Gillibert, Florence 3 Gillibert, Jean 3 Philippon, Patrice 3 Silverman, Joseph Hillel 3 Widmer, Martin 2 Babai, László 2 Dubickas, Artūras 2 Ferri, Fabio 2 Fuchs, Clemens 2 Goodman, Albert J. 2 Hata, Masayoshi 2 Ishak, M. I. M. 2 Karatsuba, Ekaterina Anatol’evna 2 Monge, Maurizio 2 Pacheco, Amílcar 2 Pati, Maria Rosaria 2 Pottmeyer, Lukas 2 Pyber, László 2 Samuels, Charles L. 2 Veneziano, Francesco 2 Viola, Carlo 1 Ahn, Jeoung-Hwan 1 Aliev, Iskander M. 1 Bertrand, Daniel 1 Bombieri, Enrico 1 Breuillard, Emmanuel 1 Canci, Jung Kyu 1 Carpenter, Ryan 1 Cellini, Paola 1 Chang, Mei-Chu 1 Chebolu, Sunil K. 1 Chen, Evan 1 Chèze, Guillaume 1 Choi, Kwok-Kwong Stephen 1 Cilleruelo, Javier 1 Çiperiani, Mirela 1 Cochrane, Todd 1 Conca, Aldo 1 Creutz, Brendan 1 Cueto, María Angélica 1 Dalawat, Chandan Singh 1 Daw, Christopher 1 Demangos, Luca 1 Dissanayake, R. M. S. 1 Donohoue, Nicholas 1 Drungilas, Paulius 1 Ehrenfeucht, Andrzej 1 Emsalem, Michel 1 Esterov, Alexander I. 1 Fehm, Arno 1 Fili, Paul A. 1 Fischler, Stéphane 1 Flach, Sergej 1 Frei, Christopher 1 Frey, Linda 1 Gaudron, Éric 1 Gramain, Francois 1 Greither, Cornelius 1 Grizzard, Robert 1 Günaydın, Ayhan 1 Habegger, Philipp 1 Haemer, Jeffrey 1 Hasson, Hilaf 1 Haussler, David 1 Huttner, Marc 1 Illengo, Marco 1 Inoue, Yoko 1 Javanpeykar, Ariyan 1 Jurasić, Ana 1 Kaliman, Shulim I. 1 Kaltofen, Erich L. 1 Keller, Thomas Michael 1 König, Joachim 1 Krattenthaler, Christian Friedrich 1 Künzer, Matthias 1 Kulkarni, Avinash 1 Kwon, Soun-Hi 1 Lang, Lionel 1 Langevin, Michel 1 Laurent, Michel 1 Lawson, Tyler Douglas 1 Lin, Jan-Li 1 Lin, Shaowei 1 Lockridge, Keir H. ...and 52 more Authors all top 5 Cited in 62 Serials 15 Journal of Number Theory 12 Journal de Théorie des Nombres de Bordeaux 10 Acta Arithmetica 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Proceedings of the American Mathematical Society 6 Journal of Algebra 6 International Journal of Number Theory 5 Monatshefte für Mathematik 4 Annales de l’Institut Fourier 4 Transactions of the American Mathematical Society 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Mathematika 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Problems of Information Transmission 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Bulletin of the London Mathematical Society 2 Mathematische Zeitschrift 2 Rendiconti del Seminario Matematico della Università di Padova 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Mathématiques du Québec 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Note di Matematica 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Albanian Journal of Mathematics all top 5 Cited in 24 Fields 130 Number theory (11-XX) 32 Algebraic geometry (14-XX) 18 Field theory and polynomials (12-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Group theory and generalizations (20-XX) 8 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.