On the critical values of \(L\)-functions of base change for Hilbert modular forms. II

DOI10.7169/FACM/2012.47.1.1zbMATH Open1320.11043OpenAlexW4231536361MaRDI QIDQ714387

Cristian Virdol

Publication date: 21 October 2012

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1348578273

zbMATH Keywords

Hilbert modular formsspecial valuesbase changeL-functions

Mathematics Subject Classification ID

Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms
• On Galois representations associated to Hilbert modular forms
• The special values of the zeta functions associated with Hilbert modular forms
• Non-solvable base change for Hilbert modular representations and zeta functions of twisted quaternionic Shimura varieties
• On the critical values of \(L\)-functions of tensor product of base change for Hilbert modular forms
• On the critical values of <i>L</i>-functions of base change for Hilbert modular forms
• On a Conjecture of Shimura Concerning Periods of Hilbert Modular Forms

Related Items (2)

The critical values of \(L\)-functions of CM-base change for Hilbert modular forms ⋮ Central values of twisted base change \(L\)-functions associated to Hilbert modular forms

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