The critical values of \(L\)-functions of CM-base change for Hilbert modular forms

DOI10.7169/facm/2013.49.2.2zbMath1297.11032OpenAlexW2133972456MaRDI QIDQ2637417

Cristian Virdol

Publication date: 11 February 2014

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1387572227

zbMATH Keywords

critical valueHilbert modular formsCM-fields

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) Totally real fields (11R80)

Cites Work

• Unnamed Item
• A family of Calabi-Yau varieties and potential automorphy. II.
• 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
• Tate classes and poles of \(L\)-functions of twisted quaternionic Shimura surfaces
• 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
• Algebraic Relations Between Critical Values of Zeta Functions and Inner Products

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