Year: 2001
Type: preprint
Abstract: Given a non-principal Dirichlet character chi mod q, an important problem in number theory is to obtain good estimates for the size of L(1,chi). In this paper we focus on sharpening the upper bounds known for |L(1,chi)|; in particular, we wish to determine constants c (as small as possible) for which the bound |L(1,chi)| <= (c+o(1)) log q holds.
Source: arXiv (Cornell University)
Authors: Granville, Andrew, Soundararajan, Kannan
Institutions: University of Georgia, Institute for Advanced Study
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1676128672