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Dvornicich, Roberto

Author ID: dvornicich.roberto Recent zbMATH articles by "Dvornicich, Roberto"
Published as: Dvornicich, Roberto; Dvornicich, R.; Dvornicich, Robert
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

Publications by Year

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 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

Citations by Year

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