Work

Cohomology and L-values

Year: 2012

Type: article

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.

Source: Kyoto journal of mathematics

DOI: 10.1215/21562261-1551003

Author: Hiroyuki Yoshida

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Award: Research on the derivative of L-functions and automorphic forms

OpenAlex ID: W2055773295