Stelios Sachpazis

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20212026

most citedMultiplicative Functions on Shifted Primes

2 citations · 4 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.NT2026

Diophantine approximation by primes and Landau--Siegel zeros

Sun-Kai Leung, Stelios Sachpazis

Let $α > 0$ be an irrational number of finite type and let $β \in R$ . Assuming the infinitude of Siegel zeros (respectively, sufficiently strong Siegel zeros), we show that fo…

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, $ψ (x; q, a) := \sum_{n ⩽ x, n \equiv a (mod q)} Λ (n)$ , where $Λ$ is the von Mango…

math.NT2024★ 1 cited

The Chowla conjecture and Landau-Siegel zeroes

Mikko Jaskari, Stelios Sachpazis

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

math.NT2022

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 $Λ$ on arithmetic progressions. This estimate…

math.NT2022★ 1 cited

On multiplicative functions with small partial sums

Stelios Sachpazis

In analytic number theory, several results make use of information regarding the prime values of a multiplicative function in order to extract information about its averages. Examp…

math.NT2021★ 2 cited

Multiplicative Functions on Shifted Primes

Stelios Sachpazis

Let $f$ be a positive multiplicative function and let $k \geq 2$ be an integer. We prove that if the prime values $f (p)$ converge to $1$ sufficiently slowly as $p\rightarrow +\infty…