Relative Hecke's integral formula for an arbitrary extension of number fields
Abstract
In this article, we present a generalized Hecke's integral formula for an arbitrary extension $E/F$ of number fields. As an application, we present relative versions of the residue formula and Kronecker's limit formula for the "relative" partial zeta function of $E/F$. This gives a simultaneous generalization of two different known results given by Hecke himself and Yamamoto.
 Publication:

arXiv eprints
 Pub Date:
 December 2017
 DOI:
 10.48550/arXiv.1712.08392
 arXiv:
 arXiv:1712.08392
 Bibcode:
 2017arXiv171208392B
 Keywords:

 Mathematics  Number Theory
 EPrint:
 30 pages