Roberto Dvornicich

451 total citations
37 papers, 199 citations indexed

About

Roberto Dvornicich is a scholar working on Geometry and Topology, Algebra and Number Theory and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Roberto Dvornicich has authored 37 papers receiving a total of 199 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 15 papers in Algebra and Number Theory and 10 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Roberto Dvornicich's work include Algebraic Geometry and Number Theory (21 papers), Analytic Number Theory Research (13 papers) and Polynomial and algebraic computation (9 papers). Roberto Dvornicich is often cited by papers focused on Algebraic Geometry and Number Theory (21 papers), Analytic Number Theory Research (13 papers) and Polynomial and algebraic computation (9 papers). Roberto Dvornicich collaborates with scholars based in Italy, France and United States. Roberto Dvornicich's co-authors include Umberto Zannier, Francesco Amoroso, Mauro Forti, Gianna M. Del Corso and Francesco Romani and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Roberto Dvornicich

34 papers receiving 174 citations

Peers

Roberto Dvornicich

GT

MP

ANT

DMC

CTM

E. Hecke Germany

Jean-François Mestre France

Kurt Girstmair Austria

Sinnou David France

Tauno Metsänkylä Finland

Hershy Kisilevsky Canada

Edward Dobrowolski Canada

Jean-François Jaulent France

Alain Kraus France

Karim Belabas France

E. Hecke Germany

Roberto Dvornicich

114 ×0.7

GT

91 ×1.1

MP

100 ×1.3

ANT

31 ×0.6

DMC

26 ×0.7

CTM

Citations per year, relative to Roberto Dvornicich Roberto Dvornicich (= 1×) peers E. Hecke

Countries citing papers authored by Roberto Dvornicich

Since Specialization

Citations

This map shows the geographic impact of Roberto Dvornicich's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Roberto Dvornicich with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Roberto Dvornicich more than expected).

Fields of papers citing papers by Roberto Dvornicich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Roberto Dvornicich. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Roberto Dvornicich. The network helps show where Roberto Dvornicich may publish in the future.

Co-authorship network of co-authors of Roberto Dvornicich

This figure shows the co-authorship network connecting the top 25 collaborators of Roberto Dvornicich. A scholar is included among the top collaborators of Roberto Dvornicich based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Roberto Dvornicich. Roberto Dvornicich is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Dvornicich, Roberto, et al.. (2022). Local-global questions for divisibility in commutative algebraic groups. European Journal of Mathematics. 8(S2). 599–628. 1 indexed citations

2.

Dvornicich, Roberto, et al.. (2016). On wild extensions of a p-adic field. Journal of Number Theory. 174. 322–342. 1 indexed citations

3.

Dvornicich, Roberto & Umberto Zannier. (2009). Newton functions generating symmetric fields and irreducibility of Schur polynomials. Advances in Mathematics. 222(6). 1982–2003. 3 indexed citations

4.

Dvornicich, Roberto, et al.. (2008). On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Functiones et Approximatio Commentarii Mathematici. 39(1). 7 indexed citations

5.

Dvornicich, Roberto & Umberto Zannier. (2006). On a local-global principle for the divisibility of a rational point by a positive integer. Bulletin of the London Mathematical Society. 39(1). 27–34. 11 indexed citations

6.

Dvornicich, Roberto, et al.. (2005). On Ore’s conjecture and its developments. Transactions of the American Mathematical Society. 357(9). 3813–3829. 1 indexed citations

7.

Dvornicich, Roberto & Umberto Zannier. (2003). An analogue for elliptic curves of the Grunwald–Wang example. Comptes Rendus Mathématique. 338(1). 47–50. 11 indexed citations

8.

Dvornicich, Roberto & Umberto Zannier. (2002). Sums of roots of unity vanishing modulo a prime. Archiv der Mathematik. 79(2). 104–108. 2 indexed citations

9.

Dvornicich, Roberto, et al.. (2002). Number fields with the same index. Acta Arithmetica. 102(4). 323–337. 1 indexed citations

10.

Dvornicich, Roberto. (2001). On an equation in cyclotomic numbers. Acta Arithmetica. 98(1). 71–94. 1 indexed citations

11.

Dvornicich, Roberto & Umberto Zannier. (2001). Local-global divisibility of rational points in some commutative algebraic groups. Bulletin de la Société mathématique de France. 129(3). 317–338. 17 indexed citations

12.

Amoroso, Francesco & Roberto Dvornicich. (2000). A Lower Bound for the Height in Abelian Extensions. Journal of Number Theory. 80(2). 260–272. 49 indexed citations

13.

Dvornicich, Roberto, et al.. (2000). Relations among Discriminant, Different, and Conductor of an Order. Journal of Algebra. 224(1). 77–90. 3 indexed citations

14.

Dvornicich, Roberto, et al.. (2000). Uniformity over primes of tamely ramified splittings. manuscripta mathematica. 101(2). 239–266.

15.

Dvornicich, Roberto & Umberto Zannier. (2000). On Sums of Roots of Unity. Monatshefte für Mathematik. 129(2). 97–108. 14 indexed citations

16.

Dvornicich, Roberto, et al.. (1998). Two problems related to the non-vanishing of L ( 1 , χ ) . Journal de Théorie des Nombres de Bordeaux. 10(1). 49–64. 2 indexed citations

17.

Dvornicich, Roberto & Umberto Zannier. (1994). Fields containing values of algebraic functions. CINECA IRIS Institutial research information system (University of Pisa). 21(3). 421–443. 12 indexed citations

18.

Dvornicich, Roberto & Umberto Zannier. (1994). A note on Thue's equation over function fields. Monatshefte für Mathematik. 118(3-4). 219–230. 4 indexed citations

19.

Dvornicich, Roberto, et al.. (1993). A Converse of Artin′s Density Theorem: The Case of Cubic Fields. Journal of Number Theory. 45(1). 28–44. 2 indexed citations

20.

Dvornicich, Roberto & Mauro Forti. (1984). Large cyclic subgroups of finite groups. Journal of Algebra. 91(2). 499–519. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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