Constant terms of Eisenstein series over a totally real field-Reference-Cited by-同舟云学术

Constant terms of Eisenstein series over a totally real field

Published:2017-02-07 Issue:02 Volume:13 Page:309-324
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Ozawa Tomomi¹^ORCID

Affiliation:

1. Mathematical Institute, Tohoku University, 6-3, Aramaki Aza-Aoba, Aoba-ku, Sendai 980-8578, Japan

Abstract

In this paper we compute constant terms of the Eisenstein series defined over a totally real field at all cusps. We explicitly describe the constant terms of Eisenstein series at each equivalence class of cusps in terms of special values of Hecke [Formula: see text]-functions. This investigation is motivated by M. Ohta’s work on congruence modules related to the Eisenstein series defined over the field of rational numbers.

Funder

Japan Society for the Promotion of Science (JP)

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042117500208

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1. On constant terms of Eisenstein series;Acta Arithmetica;2021

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3. Modularity of residual Galois extensions and the Eisenstein ideal;Transactions of the American Mathematical Society;2019-06-03