Families of Siegel modular forms, \(L\)-functions and modularity lifting conjectures

DOI10.1007/s11856-011-0113-6zbMath1277.11047OpenAlexW2020867989WikidataQ123202120 ScholiaQ123202120MaRDI QIDQ1758937

Alexei A. Panchishkin

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0113-6

zbMATH Keywords

\(p\)-adic \(L\)-functionsmodularity liftingcritical values of \(L\)-functions\(p\)-adic families of Siegel modular forms of genus \(g\)\(p\)-adic interpolation problems

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85)

Related Items (3)

Arithmetical modular forms and new constructions of \(p\)-adic \(L\)-functions on classical groups ⋮ BLACK HOLE PROBES OF AUTOMORPHIC SPACE ⋮ AUTOMORPHIC BLACK HOLE ENTROPY

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