%0 Journal Article %T Cohomology and L-values %A Hiroyuki Yoshida %J Mathematics %D 2010 %I arXiv %R 10.1215/21562261-1551003 %X 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. %U http://arxiv.org/abs/1012.4573v1