9 citations · 16 across the 8 of their papers we have counts for
8 papers
Classification of rational angles in plane lattices II
Roberto Dvornicich, Davide Lombardo, Francesco Veneziano +1
This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples…
Classification of rational angles in plane lattices
Roberto Dvornicich, Francesco Veneziano, Umberto Zannier
This paper is concerned with configurations of points in a plane lattice which determine angles that are rational multiples of . We shall study how many such angles may appear i…
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility
Roberto Dvornicich, Laura Paladino
We investigate some aspects of the -division field , where is an elliptic curve defined over a field with and…
On Fuchs' Problem about the group of units of a ring
Ilaria Del Corso, Roberto Dvornicich
In \cite[Problem 72]{Fuchs60} Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers…
Local-global questions for divisibility in commutative algebraic groups
Roberto Dvornicich, Laura Paladino
This is a survey focusing on the Hasse principle for divisibility of points in commutative algebraic groups and its relation with the Hasse principle for divisibility of elements o…
Finite groups of units of finite characteristic rings
I. Del Corso, R. Dvornicich
In \cite[Problem 72]{Fuchs60} Fuchs asked the following question: which groups can be the group of units of a commutative ring? In the following years, some partial answers have be…
On wild extensions of a p-adic field
I. Del Corso, R. Dvornicich, M. Monge
In this paper we consider the problem of classifying the isomorphism classes of extensions of degree pk of a p-adic field, restricting to the case of extensions without intermediat…
On the integral values of a curious recurrence
Roberto Dvornicich, Francesco Veneziano, Umberto Zannier
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to…