35 citations · 42 across the 15 of their papers we have counts for
4 papers · 1 filter
On Artin's conjecture on average and short character sums
Oleksiy Klurman, Igor E. Shparlinski, Joni Teräväinen
Let denote the number of primes up to for which the integer is a primitive root. We show that satisfies the asymptotic predicted by Artin's conjecture for…
On quantum ergodicity for higher dimensional cat maps
Pär Kurlberg, Alina Ostafe, Zeev Rudnick +1
We study eigenfunction localization for higher dimensional cat maps, a popular model of quantum chaos. These maps are given by linear symplectic maps in ${\mathrm{Sp}}(2g,\mathbb Z…
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 matrices with elements from some finite sets of arithmetic interest and of a given determina…
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 , which in p…