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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-EFF2-E Version Permalink: https://hdl.handle.net/21.11116/0000-000C-C3FD-B
Genre: Journal Article

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arXiv:1712.08392.pdf (Preprint), 403KB
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 Creators:
Bekki, Hohto1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 33
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1712.08392
URI: http://arxiv.org/abs/1712.08392
DOI: 10.1016/j.jnt.2018.08.008
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Title: Journal of Number Theory
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 197 Sequence Number: - Start / End Page: 185 - 217 Identifier: -