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ON THE SPECIAL VALUES OF L-FUNCTIONS OF CM-BASE CHANGE FOR HILBERT MODULAR FORMS

Published online by Cambridge University Press:  13 August 2013

CRISTIAN VIRDOL
CRISTIAN VIRDOL*
Affiliation:
Department of Mathematics, Yonsei University, Seodaemun-gu, Seoul, South Korea e-mail: virdol@yonsei.ac.kr
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Abstract

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In this paper we generalize some results, obtained by Shimura, on the special values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters. The generalization is to the case of the special values of L-functions of arbitrary base change to CM-number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.

Keywords

11F4111F8011R4211R80
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 57 - 63
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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