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arXiv · 1012.4573

Cohomology and L-values

Hiroyuki Yoshida
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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.

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Hiroyuki Yoshida. 2010-12-21. Cohomology and L-values. https://doi.org/10.1215/21562261-1551003

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