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

Cristian Virdol

doi:10.14492/hokmj/1562810506

The critical values of L-functions of 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, Yoshida and the author, on critical values of L-functions of l-adic representations attached to Hilbert modular forms twisted by finite order characters, to the critical values of L-functions of arbitrary base change to totally real number fields of l-adic representations attached to Hilbert modular forms twisted by some general finite-dimensional representations.

Original language	English
Pages (from-to)	245-252
Number of pages	8
Journal	Hokkaido Mathematical Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1562810506
Publication status	Published - 2019

Bibliographical note

Publisher Copyright:
© 2013 Department of Mathematics, Hokkaido University.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.14492/hokmj/1562810506

Cite this

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abstract = "In this paper we generalize some results, obtained by Shimura, Yoshida and the author, on critical values of L-functions of l-adic representations attached to Hilbert modular forms twisted by finite order characters, to the critical values of L-functions of arbitrary base change to totally real number fields of l-adic representations attached to Hilbert modular forms twisted by some general finite-dimensional representations.",

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

Abstract

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