Edit Profile (opens in new tab) Dvornicich, Roberto Co-Author Distance Author ID: dvornicich.roberto Published as: Dvornicich, Roberto; Dvornicich, R.; Dvornicich, Robert more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 58 Publications since 1978, including 4 Books Reviewing Activity: 150 Reviews Co-Authors: 14 Co-Authors with 52 Joint Publications 228 Co-Co-Authors all top 5 Co-Authors 6 single-authored 22 Zannier, Umberto M. 19 Del Corso, Ilaria 5 Forti, Marco 4 Chirivì, Rocco 2 Amoroso, Francesco Antonio 2 Paladino, Laura 2 Veneziano, Francesco 1 Codecà, Paolo 1 Del Corso, Gianna M. 1 Monge, Maurizio 1 Romani, Francesco 1 Simon, Denis 1 Traverso, Carlo 1 Viola, Carlo all top 5 Serials 8 Acta Arithmetica 4 Journal of Number Theory 4 Monatshefte für Mathematik 4 Unitext 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Algebra 2 Bulletin of the London Mathematical Society 2 International Journal of Number Theory 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 Bollettino della Unione Matematica Italiana. Series V. A 1 Rivista di Matematica della Università di Parma. New Series 1 European Journal of Mathematics all top 5 Fields 50 Number theory (11-XX) 14 Field theory and polynomials (12-XX) 10 Group theory and generalizations (20-XX) 6 Combinatorics (05-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-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 40 Publications have been cited 277 times in 198 Documents Cited by ▼ Year ▼ A lower bound for the height in abelian extensions. Zbl 0973.11092 Amoroso, Francesco; Dvornicich, Robert 46 2000 Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040 Dvornicich, R.; Zannier, U. 25 2007 Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016 Dvornicich, Roberto; Zannier, Umberto 24 2001 Fields containing values of algebraic functions. Zbl 0819.12003 Dvornicich, R.; Zannier, U. 20 1994 On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011 Dvornicich, Roberto; Zannier, Umberto 17 2007 An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007 Dvornicich, Roberto; Zannier, Umberto 16 2004 On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002 Dvornicich, Roberto; Zannier, Umberto 12 2008 On sums of roots of unity. Zbl 0953.11009 Dvornicich, Roberto; Zannier, Umberto 10 2000 Some remarks on Beukers’ integrals. Zbl 0755.11019 Dvornicich, R.; Viola, C. 9 1990 Lower bounds for the height and size of the ideal class group in CM-fields. Zbl 1040.11077 Amoroso, Francesco; Dvornicich, Roberto 8 2003 On Fuchs’ problem about the group of units of a ring. Zbl 1428.16036 Del Corso, Ilaria; Dvornicich, Roberto 7 2018 The compositum of wild extensions of local fields of prime degree. Zbl 1126.11068 Del Corso, Ilaria; Dvornicich, Roberto 6 2007 Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001 Dvornicich, R.; Zannier, U. 6 1995 Large cyclic subgroups of finite groups. Zbl 0581.20022 Dvornicich, R.; Forti, M. 6 1984 Finite groups of units of finite characteristic rings. Zbl 1405.16048 Del Corso, Ilaria; Dvornicich, Roberto 5 2018 Relations among discriminant, different, and conductor of an order. Zbl 0948.13012 Del Corso, Ilaria; Dvornicich, Roberto 4 2000 On Ore’s conjecture and its developments. Zbl 1155.11351 Del Corso, Ilaria; Dvornicich, Roberto 4 2005 Decomposition of primes in non-maximal orders. Zbl 1163.11342 Del Corso, Ilaria; Dvornicich, Roberto; Simon, Denis 4 2005 Local-global questions for divisibility in commutative algebraic groups. Zbl 1509.11045 Dvornicich, Roberto; Paladino, Laura 4 2022 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014 Dvornicich, Roberto; Traverso, Carlo 3 1989 Number fields with the same index. Zbl 1003.11049 Del Corso, Ilaria; Dvornicich, Roberto 3 2002 Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268 Dvornicich, R.; Zannier, U. 3 2009 Solution of a problem about symmetric functions. Zbl 1062.12005 Dvornicich, Roberto; Zannier, Umberto 3 2003 A criterion for the algebraic dependence of two complex numbers. Zbl 0393.10039 Dvornicich, Roberto 3 1978 Sums of roots of unity vanishing modulo a prime. Zbl 1007.11062 Dvornicich, Roberto; Zannier, Umberto 3 2002 On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. Zbl 1500.11050 Dvornicich, Roberto; Paladino, Laura 3 2022 On polynomials taking small values at integral arguments. Zbl 0515.10049 Dvornicich, Roberto; Zannier, Umberto 2 1983 Finite groups with few dth roots of 1. Zbl 0558.20018 Dvornicich, R.; Forti, M. 2 1984 Uniformity over primes of tamely ramified splittings. Zbl 0962.11037 Del Corso, Ilaria; Dvornicich, Roberto 2 2000 A note on Thue’s equation over function fields. Zbl 0820.11019 Dvornicich, Roberto; Zannier, Umberto 2 1994 Paracyclic and quasi-cyclic groups. Zbl 0618.20018 Dvornicich, R.; Forti, M. 2 1986 A converse of Artin’s density theorem: The case of cubic fields. Zbl 0779.11047 Del Corso, Ilaria; Dvornicich, Roberto 2 1993 On wild extensions of a \(p\)-adic field. Zbl 1369.11075 Del Corso, Ilaria; Dvornicich, Roberto; Monge, Maurizio 2 2017 On polynomials taking small values at integral arguments. II. Zbl 1020.11018 Dvornicich, Roberto; Tung, Shih Ping; Zannier, Umberto 2 2003 On computing the density of integers of the form \(2^n + p\). Zbl 1450.11103 Del Corso, Gianna M.; Del Corso, Ilaria; Dvornicich, Roberto; Romani, Francesco 2 2020 Uniformity over primes of unramified splittings. Zbl 0908.11054 Del Corso, Ilaria; Dvornicich, Roberto 1 1998 On an equation in cyclotomic numbers. Zbl 0970.11039 Dvornicich, Roberto 1 2001 Fractional parts of linear polynomials and an application to hypergeometric functions. Zbl 1019.11019 Dvornicich, Roberto; Zannier, Umberto 1 2001 On a problem of cyclic permutations of integers. Zbl 0444.05003 Dvornicich, Roberto 1 1980 Composite factors of binomials and linear systems in roots of unity. Zbl 1448.11064 Dvornicich, Roberto; Zannier, Umberto 1 2019 Local-global questions for divisibility in commutative algebraic groups. Zbl 1509.11045 Dvornicich, Roberto; Paladino, Laura 4 2022 On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. Zbl 1500.11050 Dvornicich, Roberto; Paladino, Laura 3 2022 On computing the density of integers of the form \(2^n + p\). Zbl 1450.11103 Del Corso, Gianna M.; Del Corso, Ilaria; Dvornicich, Roberto; Romani, Francesco 2 2020 Composite factors of binomials and linear systems in roots of unity. Zbl 1448.11064 Dvornicich, Roberto; Zannier, Umberto 1 2019 On Fuchs’ problem about the group of units of a ring. Zbl 1428.16036 Del Corso, Ilaria; Dvornicich, Roberto 7 2018 Finite groups of units of finite characteristic rings. Zbl 1405.16048 Del Corso, Ilaria; Dvornicich, Roberto 5 2018 On wild extensions of a \(p\)-adic field. Zbl 1369.11075 Del Corso, Ilaria; Dvornicich, Roberto; Monge, Maurizio 2 2017 Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268 Dvornicich, R.; Zannier, U. 3 2009 On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002 Dvornicich, Roberto; Zannier, Umberto 12 2008 Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040 Dvornicich, R.; Zannier, U. 25 2007 On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011 Dvornicich, Roberto; Zannier, Umberto 17 2007 The compositum of wild extensions of local fields of prime degree. Zbl 1126.11068 Del Corso, Ilaria; Dvornicich, Roberto 6 2007 On Ore’s conjecture and its developments. Zbl 1155.11351 Del Corso, Ilaria; Dvornicich, Roberto 4 2005 Decomposition of primes in non-maximal orders. Zbl 1163.11342 Del Corso, Ilaria; Dvornicich, Roberto; Simon, Denis 4 2005 An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007 Dvornicich, Roberto; Zannier, Umberto 16 2004 Lower bounds for the height and size of the ideal class group in CM-fields. Zbl 1040.11077 Amoroso, Francesco; Dvornicich, Roberto 8 2003 Solution of a problem about symmetric functions. Zbl 1062.12005 Dvornicich, Roberto; Zannier, Umberto 3 2003 On polynomials taking small values at integral arguments. II. Zbl 1020.11018 Dvornicich, Roberto; Tung, Shih Ping; Zannier, Umberto 2 2003 Number fields with the same index. Zbl 1003.11049 Del Corso, Ilaria; Dvornicich, Roberto 3 2002 Sums of roots of unity vanishing modulo a prime. Zbl 1007.11062 Dvornicich, Roberto; Zannier, Umberto 3 2002 Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016 Dvornicich, Roberto; Zannier, Umberto 24 2001 On an equation in cyclotomic numbers. Zbl 0970.11039 Dvornicich, Roberto 1 2001 Fractional parts of linear polynomials and an application to hypergeometric functions. Zbl 1019.11019 Dvornicich, Roberto; Zannier, Umberto 1 2001 A lower bound for the height in abelian extensions. Zbl 0973.11092 Amoroso, Francesco; Dvornicich, Robert 46 2000 On sums of roots of unity. Zbl 0953.11009 Dvornicich, Roberto; Zannier, Umberto 10 2000 Relations among discriminant, different, and conductor of an order. Zbl 0948.13012 Del Corso, Ilaria; Dvornicich, Roberto 4 2000 Uniformity over primes of tamely ramified splittings. Zbl 0962.11037 Del Corso, Ilaria; Dvornicich, Roberto 2 2000 Uniformity over primes of unramified splittings. Zbl 0908.11054 Del Corso, Ilaria; Dvornicich, Roberto 1 1998 Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001 Dvornicich, R.; Zannier, U. 6 1995 Fields containing values of algebraic functions. Zbl 0819.12003 Dvornicich, R.; Zannier, U. 20 1994 A note on Thue’s equation over function fields. Zbl 0820.11019 Dvornicich, Roberto; Zannier, Umberto 2 1994 A converse of Artin’s density theorem: The case of cubic fields. Zbl 0779.11047 Del Corso, Ilaria; Dvornicich, Roberto 2 1993 Some remarks on Beukers’ integrals. Zbl 0755.11019 Dvornicich, R.; Viola, C. 9 1990 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014 Dvornicich, Roberto; Traverso, Carlo 3 1989 Paracyclic and quasi-cyclic groups. Zbl 0618.20018 Dvornicich, R.; Forti, M. 2 1986 Large cyclic subgroups of finite groups. Zbl 0581.20022 Dvornicich, R.; Forti, M. 6 1984 Finite groups with few dth roots of 1. Zbl 0558.20018 Dvornicich, R.; Forti, M. 2 1984 On polynomials taking small values at integral arguments. Zbl 0515.10049 Dvornicich, Roberto; Zannier, Umberto 2 1983 On a problem of cyclic permutations of integers. Zbl 0444.05003 Dvornicich, Roberto 1 1980 A criterion for the algebraic dependence of two complex numbers. Zbl 0393.10039 Dvornicich, Roberto 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 203 Authors 17 Dvornicich, Roberto 16 Zannier, Umberto M. 11 Amoroso, Francesco Antonio 11 Paladino, Laura 8 Del Corso, Ilaria 6 Ranieri, Gabriele 5 Gillibert, Jean 5 Levin, Aaron 5 Ostafe, Alina 5 Shparlinski, Igor E. 5 Widmer, Martin 4 Bilu, Yuri F. 4 David, Sinnou 4 Gillibert, Florence 4 Luca, Florian 3 Bandini, Andrea 3 Chebolu, Sunil K. 3 Checcoli, Sara 3 Dubickas, Artūras 3 Forti, Marco 3 Galateau, Aurélien 3 Lockridge, Keir H. 3 Philippon, Patrice 3 Pottmeyer, Lukas 3 Silverman, Joseph Hillel 2 Alessandrì, Jessica 2 Babai, László 2 Corvaja, Pietro 2 Creutz, Brendan 2 Daw, Christopher 2 Fehm, Arno 2 Ferri, Fabio 2 Frey, Linda 2 Fuchs, Clemens 2 Gillibert, Pierre 2 Goodman, Albert J. 2 Habegger, Philipp 2 Hata, Masayoshi 2 Ishak, M. I. M. 2 Javanpeykar, Ariyan 2 Karatsuba, Ekaterina Anatol’evna 2 Lombardo, Davide M. 2 Mello, Jorge 2 Monge, Maurizio 2 Okazaki, Masao 2 Pacheco, Amílcar 2 Pati, Maria Rosaria 2 Pazuki, Fabien 2 Pinner, Christopher G. 2 Pyber, László 2 Samuels, Charles L. 2 Sha, Min 2 Simon, Denis 2 Veneziano, Francesco 2 Viola, Carlo 1 Ahn, Jeoung-Hwan 1 Aliev, Iskander M. 1 Andrews, Jesse 1 Bary-Soroker, Lior 1 Bayad, Abdelmejid 1 Bertrand, Daniel 1 Bombieri, Enrico 1 Bonacina, Ilario 1 Breuillard, Emmanuel 1 Bugeaud, Yann 1 Canci, Jung Kyu 1 Carpenter, Ryan 1 Cellini, Paola 1 Chang, Mei-Chu 1 Chen, Evan 1 Chen, Yonggao 1 Chèze, Guillaume 1 Chirivì, Rocco 1 Choi, Kwok-Kwong Stephen 1 Cilleruelo, Javier 1 Çiperiani, Mirela 1 Cochrane, Todd 1 Conca, Aldo 1 Cueto, María Angélica 1 Dalawat, Chandan Singh 1 Demangos, Luca 1 DeMarco, Laura Grace 1 Demeio, Julian Lawrence 1 Ding, Yuchen 1 Dissanayake, R. M. S. 1 Donohoue, Nicholas 1 Drungilas, Paulius 1 Ehrenfeucht, Andrzej 1 Emsalem, Michel 1 Esterov, Alexander I. 1 Evertse, Jan-Hendrik 1 Ferraguti, Andrea 1 Fili, Paul A. 1 Fischler, Stéphane 1 Flach, Sergej 1 Frei, Christopher 1 Galesi, Nicola 1 Gaudron, Éric 1 Gessel, Ira Martin 1 Gramain, Francois ...and 103 more Authors all top 5 Cited in 78 Serials 17 Journal of Number Theory 13 Acta Arithmetica 12 Journal de Théorie des Nombres de Bordeaux 12 International Journal of Number Theory 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal of Algebra 8 Proceedings of the American Mathematical Society 6 Bulletin of the London Mathematical Society 6 Monatshefte für Mathematik 5 Annales de l’Institut Fourier 4 Transactions of the American Mathematical Society 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Mathematika 3 Experimental Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Problems of Information Transmission 2 Advances in Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Mathematica Hungarica 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Mathématiques du Québec 2 European Journal of Mathematics 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 Bulletin de la Société Mathématique de France 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 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 Journal of Symbolic Computation 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 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 Computational Complexity 1 Filomat 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 Chaos 1 Journal of Integer Sequences 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 Oberwolfach Reports 1 Algebra & Number Theory 1 Albanian Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Research in Number Theory 1 La Matematica 1 Essential Number Theory all top 5 Cited in 28 Fields 171 Number theory (11-XX) 40 Algebraic geometry (14-XX) 28 Field theory and polynomials (12-XX) 22 Dynamical systems and ergodic theory (37-XX) 19 Group theory and generalizations (20-XX) 10 Commutative algebra (13-XX) 7 Associative rings and algebras (16-XX) 4 Combinatorics (05-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-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 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-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.