M. Korolev

activity

20162019

most citedKloosterman sums with primes to composite moduli

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2019★ 1 cited

Kloosterman sums with primes to composite moduli

M. A. Korolev

We obtain a new estimate for Kloosterman sum with primes $p ⩽ X$ to composite modulo $q$ , that is, for the exponential sum of the type \[ \sum\limits_{p\leqslant X,\;p\,\nmi…

math.NT2018

On the distribution of values of the argument of the Riemann zeta-function

Aleksandar Ivić, Maxim Korolev

Let $S (t) := \frac{1}{π} ar g ζ (\frac{1}{2} + i t)$ . We prove that, for $T^{27/82 + ε} \leq H \leq T$ , we have $$ {\rm mes}\Bigl\{t\in [T, T+H…

math.NT2016

Shifted Character Sums with Multiplicative Coefficients, II

K. Gong, C. Jia, M. A. Korolev

Let $f (n)$ be a multiplicative function with $∣ f (n) ∣ \leq 1, q$ be a prime number and $a$ be an integer with $(a, q) = 1, χ$ be a non-principal Dirichlet character modulo $q$ . Let $\v…