2 citations · 4 across the 10 of their papers we have counts for
14 papers
Weil Sums over Small Subgroups
Alina Ostafe, Igor E. Shparlinski, José Felipe Voloch
We obtain new bounds on short Weil sums over small multiplicative subgroups of prime finite fields which remain nontrivial in the range the classical Weil bound is already trivial.…
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 …
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…
A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic
Dragos Ghioca, Alina Ostafe, Sina Saleh +1
We prove a quantitative partial result in support of the Dynamical Mordell-Lang Conjecture (also known as the DML conjecture) in positive characteristic. More precisely, we show th…
Dynamical irreducibility of polynomials modulo primes
László Mérai, Alina Ostafe, Igor E. Shparlinski
For a class of polynomials , which in particular includes all quadratic polynomials, and also trinomials of some special form, we show that, under some natural…