The relative Hecke integral formula for an arbitrary extension of number fields

Bekki, Hohto

doi:10.1016/j.jnt.2018.08.008

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

The relative Hecke integral formula for an arbitrary extension of number fields

MPS-Authors

/persons/resource/persons242310

Bekki, Hohto
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1016/j.jnt.2018.08.008
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

arXiv:1712.08392.pdf
(Preprint), 403KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Bekki, H. (2019). The relative Hecke integral formula for an arbitrary extension of number fields. Journal of Number Theory, 197, 185-217. doi:10.1016/j.jnt.2018.08.008.

Cite as: https://hdl.handle.net/21.11116/0000-0004-EFF2-E

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.