Article ID Journal Published Year Pages File Type
4594838 Journal of Number Theory 2010 29 Pages PDF
Abstract

In this paper, the convergence of the Euler product of the Hecke zeta-function ζ(s,χ) is proved on the line R(s)=1 with s≠1. A certain functional identity between ζ(s,χ) and ζ(2−s,χ) is found. An analogue of Tate's adelic Poisson summation is obtained for the global Hankel transformation, which is constructed in Li (2010) [7].

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory