Igor E. Shparlinski

activity

20112026

most citedFermat quotients: Exponential sums, value set and primitive roots

35 citations · 42 across the 15 of their papers we have counts for

collaborators

Showing 2024 · math.NTShow all

3 papers · 2 filters

math.NT2024

On Artin's conjecture on average and short character sums

Oleksiy Klurman, Igor E. Shparlinski, Joni Teräväinen

Let $N_{a} (x)$ denote the number of primes up to $x$ for which the integer $a$ is a primitive root. We show that $N_{a} (x)$ satisfies the asymptotic predicted by Artin's conjecture for…

math.NT2024

On the determinants of matrices with elements from arbitrary sets

Ilya D. Shkredov, Igor E. Shparlinski

Recently there has been several works estimating the number of $n \times n$ matrices with elements from some finite sets $X$ of arithmetic interest and of a given determina…

math.NT2024

On the frequency of primes preserving dynamical irreducibility of polynomials

Alina Ostafe, Igor E. Shparlinski

Towards a well-known open question in arithmetic dynamics, L. Mérai, A. Ostafe and I. E. Shparlinski (2023), have shown, for a class of polynomials $f \in Z [X]$ , which in p…