Congruences between Hilbert modular forms of weight $2$, and special values of their $L$-functions
Number Theory
2017-07-06 v1
Abstract
The purpose of this paper is to show how a congruence between (the Fourier coefficients of) a Hilbert cusp form and a Hilbert Eisenstein series of parallel weight gives rise to congruences between algebraic parts of critical values of their -functions. This is a generalization of a result of V. Vatsal.
Keywords
Cite
@article{arxiv.1707.01314,
title = {Congruences between Hilbert modular forms of weight $2$, and special values of their $L$-functions},
author = {Yuichi Hirano},
journal= {arXiv preprint arXiv:1707.01314},
year = {2017}
}
Comments
43 pages