On the special values of L-functions of CM-base change for hilbert modular forms

Cristian Virdol

doi:10.1017/S0017089513000074

On the special values of L-functions of CM-base change for hilbert modular forms

Cristian Virdol

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	57-63
Number of pages	7
Journal	Glasgow Mathematical Journal
Volume	56
Issue number	1
DOIs	https://doi.org/10.1017/S0017089513000074
Publication status	Published - 2014 Jan

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0017089513000074

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abstract = "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.",

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