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

DOI10.7169/FACM/2012.47.2.2zbMath1320.11109OpenAlexW4250262994MaRDI QIDQ1944649

Cristian Virdol

Publication date: 26 March 2013

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1356012911

zbMATH Keywords

meromorphic continuationSiegel modular threefoldstotally real 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

• On the \(l\)-adic cohomology of Siegel threefolds
• The meromorphic continuation of the zeta function of a product of Hilbert and Picard modular surfaces over CM-fields
• Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
• SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES
• Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.
• The Picard group of Siegel modular threefolds.
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