Article ID Journal Published Year Pages File Type
4593532 Journal of Number Theory 2016 14 Pages PDF
Abstract

In this paper, we first investigate the Li criterion for the Riemann hypothesis for a class of Epstein zeta functions. Then, we derive some interesting consequences for the class number of a quadratic imaginary number field K   using Kronecker's limit formula and Hecke's formulation for the meromorphic continuation of the Dedekind zeta function ζKζK.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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