O. Klurman

activity

20122026

most citedCorrelations of multiplicative functions and applications

33 citations · 87 across the 30 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

Zeros of $L$ -functions and large partial sums of Dirichlet coefficients

Bryce Kerr, Oleksiy Klurman, Jesse Thorner

Let $L (s, π) = \sum_{n = 1}^{\infty} λ_{π} (n) n^{- s}$ be an $L$ -function that satisfies a weak form of the generalized Ramanujan conjecture. We prove that large partial sums of $λ_{π} (n)$ str…

math.NT2024

Sign changes of short character sums and real zeros of Fekete polynomials

Oleksiy Klurman, Youness Lamzouri, Marc Munsch

We discuss a general approach producing quantitative bounds on the number of sign changes of the weighted sums $n \leq x \sum f (n) w_{n}$ where $f : N \to R$ is a fami…

On Artin's conjecture on average and short character sums

Zeros of L-functions and large partial sums of Dirichlet coefficients

Sign changes of short character sums and real zeros of Fekete polynomials

Zeros of $L$ -functions and large partial sums of Dirichlet coefficients