Igor E. Shparlinski

works on

character sums 1 generalized riemann hypothesis 1 legendre symbols 1 quadratic residues 1 short intervals 1 sieve methods 1

From the 1 of 12 linked papers with an AI index.

activity

20242026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.NT2024

Exponential Sums with Sparse Polynomials and Distribution of the Power Generator

Subham Bhakta, Igor Shparlinski

We obtain new bounds on complete rational exponential sums with sparse polynomials modulo a prime, under some mild conditions on the degrees of the monomials of such polynomials. T…

math.NT2024

Sums of Kloosterman sums over square-free and smooth integers

Xuancheng Shao, Igor E. Shparlinski, Laurence P. Wijaya

Recently there has been a large number of works on bilinear sums with Kloosterman sums and on sums of Kloosterman sums twisted by arithmetic functions. Motivated by these, we consi…

math.NT2024

Binary and ternary congruences involving intervals and sets modulo a prime

Moubariz Z. Garaev, Julio C. Pardo, Igor E. Shparlinski

Let $s$ be a fixed positive integer constant, $ε$ be a fixed small positive number. Then, provided that a prime $p$ is large enough, we prove that for any set $\{{\mathca…