Stelios Sachpazis

collaborators

3 papers

math.NT2025

Primes in arithmetic progressions under the presence of Landau-Siegel zeroes

Stelios Sachpazis

Let $x ⩾ 2$ and assume that $a$ and $q$ are coprime positive integers. As usual, $I ¨ (x; q, a) := \sum_{n ⩽ x, n \equiv a (mod q)} I^ (n)$ , where $I^$ is the von Ma…

math.NT2025

The Chowla conjecture and Landau-Siegel zeroes

Mikko Jaskari, Stelios Sachpazis

Let $k \geq 2$ be an integer and let $I^»$ be the Liouville function. Given $k$ non-negative distinct integers $h_{1}, \dots, h_{k}$ , the Chowla conjecture claims that $\sum_{n\leq x}Î»(n…

math.NT2024

A pretentious proof of Linnik's estimate for primes in arithmetic progressions

Stelios Sachpazis

In the present paper, we adopt a pretentious approach and prove a strongly uniform estimate for the sums of the von Mangoldt function $I^$ on arithmetic progressions. This estimate…