Estimates for Weyl sums in the theory of discrete universality
type: Item
instance of: scholarly article
title: Estimates for Weyl sums in the theory of discrete universality
zbMATH Open document ID: 1498.11179
author: Athanasios Sourmelidis
published in: The Ramanujan Journal
publication date: 2022-03-21T00:00:00Z
review text: The aim of the paper is to prove joint and disjoint discrete universality theorems for Dirichlet \(L\)-functions \(L(s, \chi)\) and Hurwitz zeta functions \(\zeta(s;\beta)\) for \(\beta \in (0,1] \cap \mathbb{Q}\) with respect to polynomials. For this purpose, the author introduces a novel approach which does not use Gallagher's lemma and it is based only on Euler product representations and zero-density estimates of \(L\)-functions, as well as mean-value estimates for Weyl sums.
reviewed by: Sami Omar
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 7493923
zbMATH Keywords: universality
zbMATH Keywords: Dirichlet \(L\)-functions
zbMATH Keywords: Hurwitz zeta-functions
zbMATH Keywords: Weyl sums
MaRDI profile type: Publication
full work available at URL: s11139-020-00381-9
OpenAlex ID: W3128862860
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DOI: 10.1007/S11139-020-00381-9
description: scientific article; zbMATH DE number 7493923