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

Cristian Virdol

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationFunctiones et Approximatio, Commentarii Mathematici
PublisherAdam Mickiewicz University Press
Pages221-227
Number of pages7
Volume49
Edition2
ISBN (Print)9788323226550
DOIs
Publication statusPublished - 2013 Jan 1

Fingerprint

Hilbert Modular Forms
Base Change
L-function
Critical value
Number field
Generalise
Arbitrary
Character

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Virdol, C. (2013). The critical values of L-functions of CM-base change for hilbert modular forms. In Functiones et Approximatio, Commentarii Mathematici (2 ed., Vol. 49, pp. 221-227). Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2013.49.2.2
Virdol, Cristian. / The critical values of L-functions of CM-base change for hilbert modular forms. Functiones et Approximatio, Commentarii Mathematici. Vol. 49 2. ed. Adam Mickiewicz University Press, 2013. pp. 221-227
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Virdol, C 2013, The critical values of L-functions of CM-base change for hilbert modular forms. in Functiones et Approximatio, Commentarii Mathematici. 2 edn, vol. 49, Adam Mickiewicz University Press, pp. 221-227. https://doi.org/10.7169/facm/2013.49.2.2

The critical values of L-functions of CM-base change for hilbert modular forms. / Virdol, Cristian.

Functiones et Approximatio, Commentarii Mathematici. Vol. 49 2. ed. Adam Mickiewicz University Press, 2013. p. 221-227.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Virdol C. The critical values of L-functions of CM-base change for hilbert modular forms. In Functiones et Approximatio, Commentarii Mathematici. 2 ed. Vol. 49. Adam Mickiewicz University Press. 2013. p. 221-227 https://doi.org/10.7169/facm/2013.49.2.2