On Constant Terms of Eisenstein Series
Number Theory
2020-10-05 v1
Abstract
We calculate the constant terms of certain Hilbert modular Eisenstein series at all cusps. Our formula relates these constant terms to special values of Hecke -series. This builds on previous work of Ozawa, in which a restricted class of Eisenstein series were studied. Our results have direct arithmetic applications---in separate work we apply these formulas to prove the Brumer-Stark conjecture away from and to give an exact analytic formula for Brumer-Stark units.
Keywords
Cite
@article{arxiv.2010.00650,
title = {On Constant Terms of Eisenstein Series},
author = {Samit Dasgupta and Mahesh Kakde},
journal= {arXiv preprint arXiv:2010.00650},
year = {2020}
}
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30 pages