An explicit hybrid estimate for $L(1/2+it,χ)$
Year: 2015
Type: preprint
Abstract: An explicit hybrid estimate for $L(1/2+it,χ)$ is derived, where $χ$ is a Dirichlet character modulo $q$. The estimate applies when $t$ is bounded away from zero, and is most effective when $q$ is powerfull, yielding an explicit Weyl bound in this case. The estimate takes a particularly simple form if $q$ is a sixth power. Several hybrid lemmas of van der Corput--Weyl type are presented.
Source: arXiv (Cornell University)
Author: Hiary, Ghaith A.
Institution: The Ohio State University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W4297054959