The meromorphic continuation of the zeta function of a product of Hilbert and Picard modular surfaces over CM-fields

DOI10.1016/J.JNT.2012.07.003zbMath1277.11056OpenAlexW2169474454MaRDI QIDQ1762298

Cristian Virdol

Publication date: 23 November 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.07.003

zbMATH Keywords

Hilbert modular formsmeromorphic continuationL-functionsPicard modular surfacesHilbert modular surfacespotential modularity

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)

Related Items (1)

The meromorphic continuation of the zeta function of Siegel modular threefolds over totally real fields

Cites Work

• On Galois representations associated to Hilbert modular forms
• On Artin L-functions associated to Hilbert modular forms of weight one
• Tate classes and poles of \(L\)-functions of twisted quaternionic Shimura surfaces
• Potential automorphy and change of weight
• Rankin-Selberg Convolutions
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
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