Cohomology and L-values

Details Cohomology and L-values Cohomology and L-values

2010-12-21

arxiv.org/abs/1012.4573v1

Mathematics

Number Theory

Scientific paper

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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