18 citations · 38 across the 42 of their papers we have counts for
5 papers · 1 filter
Equations and character sums with matrix powers, Kloosterman sums over small subgroups and quantum ergodicity
Alina Ostafe, Igor E. Shparlinski, José Felipe Voloch
We obtain a nontrivial bound on the number of solutions to the equation …
Additive energy of cyclic matrix groups and character sums with matrix exponential functions
Alina Ostafe, Igor E. Shparlinski
We obtain a nontrivial bound on the number of solutions to the equation , , with a fixed matrix …
Multiplicative dependence of rational values modulo approximate finitely generated groups
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are `close' (with respect to the Weil height) to divisi…
On a Problem of Lang for Matrix Polynomials
Alina Ostafe
In this paper, we consider a problem of Lang about finiteness of torsion points on plane rational curves over , and prove some results towards a matrix analogue of this…
On sparsity of representations of polynomials as linear combinations of exponential functions
Dragos Ghioca, Alina Ostafe, Sina Saleh +1
Given an integer and also some given integers (sufficiently large) and , we show that the number of all non-negative integers with the property tha…