ON THE SPECIAL VALUES OF L-FUNCTIONS OF CM-BASE CHANGE FOR HILBERT MODULAR FORMS

DOI10.1017/S0017089513000074zbMath1286.11070MaRDI QIDQ5397654

Cristian Virdol

Publication date: 24 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

special values of \(L\)-functionsautomorphic representationHilbert modular formtotally real fieldCM-base change

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 <i>L</i>-functions of base change for Hilbert modular forms
• Algebraic Relations Between Critical Values of Zeta Functions and Inner Products