M. Korolev

most citedKloosterman sums with primes to composite moduli

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2 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…