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2000 Numerical calculation of twisted adjoint $L$-values attached to modular forms
Yoshio Hiraoka
Experiment. Math. 9(1): 67-73 (2000).

Abstract

Doi, Hida, and Ishii have shown that the values of twisted adjoint $L$-functions $L(1,\Ad(f)\otimes\chi)$ attached to modular forms $f$ are closely connected with discriminants of Hecke fields. Goto has given a numerical example of this $L$-value for an elliptic cusp form $f$ of level $1$ and weight $20$. We shall show a method to calculate the $L$-values, which is more effective than Goto's, and give new numerical examples.

Citation

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Yoshio Hiraoka. "Numerical calculation of twisted adjoint $L$-values attached to modular forms." Experiment. Math. 9 (1) 67 - 73, 2000.

Information

Published: 2000
First available in Project Euclid: 5 March 2003

zbMATH: 0972.11042
MathSciNet: MR1758800

Subjects:
Primary: 11F67
Secondary: 11F41

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 1 • 2000
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