Cohomology and L-values
Number Theory
2015-01-14 v1
Abstract
In a paper published in 1959, Shimura presented an elegant calculation of the critical values of L-functions attached to elliptic modular forms using the first cohomology group. We will show that a similar calculation is possible for Hilbert modular forms over real quadratic fields using the second cohomology group. We present explicit numerical examples calculated by this method.
Keywords
Cite
@article{arxiv.1012.4573,
title = {Cohomology and L-values},
author = {Hiroyuki Yoshida},
journal= {arXiv preprint arXiv:1012.4573},
year = {2015}
}