Hecke's integral formula for quadratic extensions of a number field
Number Theory
2007-05-23 v1
Abstract
Let K/F be a quadratic extension of number fields. After developing a theory of the Eisenstein series over F, we prove a formula which expresses a partial zeta function of K as a certain integral of the Eisenstein series. As an application, we obtain a limit formula of Kronecker's type which relates the 0-th Laurent coefficients at s=1 of zeta functions of K and F.
Keywords
Cite
@article{arxiv.math/0602618,
title = {Hecke's integral formula for quadratic extensions of a number field},
author = {Shuji Yamamoto},
journal= {arXiv preprint arXiv:math/0602618},
year = {2007}
}
Comments
16 pages