The Jacquet-Langlands correspondence, Eisenstein congruences, and integral L-values in weight 2
Number Theory
2019-03-14 v4
Abstract
We use the Jacquet-Langlands correspondence to generalize well-known congruence results of Mazur on Fourier coefficients and L-values of elliptic modular forms for prime level in weight 2 both to nonsquare level and to Hilbert modular forms.
Keywords
Cite
@article{arxiv.1601.03284,
title = {The Jacquet-Langlands correspondence, Eisenstein congruences, and integral L-values in weight 2},
author = {Kimball Martin},
journal= {arXiv preprint arXiv:1601.03284},
year = {2019}
}
Comments
16 pages; this is a corrected and annotated version to the published version--the main correction is the addition of hypotheses in Theorem 2.1 in the case of base field with class number > 1; all the results stated in the introduction are unchanged