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arXiv · 1712.08392

Relative Hecke's integral formula for an arbitrary extension of number fields

Hohto Bekki
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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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Hohto Bekki. 2017-12-22. Relative Hecke's integral formula for an arbitrary extension of number fields. https://arxiv.org/abs/1712.08392

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