22 citations · 34 across the 17 of their papers we have counts for
21 papers
Subsets of abelian groups closed under addition or subtraction
Artūras Dubickas, Chris Smyth
In this article, we first describe all nonempty sets of integers S with the property that for all n and m in S, not necessarily distinct, the set {n-m,n+m} intersected with S consi…
Counting integer polynomials with several roots of maximal modulus
Artūras Dubickas, Min Sha
In this paper, for positive integers and , we obtain some estimates on the cardinality of the set of monic integer polynomials of degree and height bounded by …
Euclidean minima of algebraic number fields
Artūras Dubickas, Min Sha, Igor E. Shparlinski
In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello and Jossen on the Euclidean minima of algebraic number fields. Our bound de…
On metric and cohomological properties of Oeljeklaus-Toma manifolds
Danielle Angella, Arturas Dubickas, Alexandra Otiman +1
We study metric and cohomological properties of Oeljeklaus-Toma manifolds. In particular, we describe the structure of the double complex of differential forms and its Bott-Chern c…
Linear relations with conjugates of a Salem number
Artūras Dubickas, Jonas Jankauskas
In this paper we consider linear relations with conjugates of a Salem number . We show that every such a relation arises from a linear relation between conjugates of the corresp…
Extremal problems for polynomials with real roots
Arturas Dubickas, Igor Pritsker
We consider polynomials of degree with only real roots and a fixed value of discriminant, and study the problem of minimizing the absolute value of polynomials at a fixed point…