The critical values of L-functions of CM-base change for hilbert modular forms

Cristian Virdol

doi:10.7169/facm/2013.49.2.2

The critical values of L-functions of CM-base change for hilbert modular forms

Cristian Virdol

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In this paper we generalize some results, obtained by Shimura, on the critical values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters, to the case of the critical 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
Title of host publication	Functiones et Approximatio, Commentarii Mathematici
Publisher	Adam Mickiewicz University Press
Pages	221-227
Number of pages	7
Volume	49
Edition	2
ISBN (Print)	9788323226550
DOIs	https://doi.org/10.7169/facm/2013.49.2.2
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.7169/facm/2013.49.2.2

Cite this

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abstract = "In this paper we generalize some results, obtained by Shimura, on the critical values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters, to the case of the critical 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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AB - In this paper we generalize some results, obtained by Shimura, on the critical values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters, to the case of the critical 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.

KW - CM-fields

KW - Critical values

KW - Hilbert modular forms

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BT - Functiones et Approximatio, Commentarii Mathematici

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ER -

The critical values of L-functions of CM-base change for hilbert modular forms

Abstract

All Science Journal Classification (ASJC) codes

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