Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms

DOI10.1016/j.jalgebra.2011.04.033zbMath1302.11088OpenAlexW2084769494MaRDI QIDQ661378

Shahab Shahabi, Jeehoon Park

Publication date: 10 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.04.033

zbMATH Keywords

elliptic curvesHilbert modular forms\(p\)-adic \(L\)-functions at supersingular primesplus/minus Iwasawa main conjectureSelmar groups

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

On the Iwasawa theory of CM fields for supersingular primes ⋮ Bounded \(p\)-adic \(L\)-functions of motives at supersingular primes

Cites Work

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• Arithmetic of Weil curves
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• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Potential modularity – a survey
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
• NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDSp-ADICL-FUNCTIONS
• NON-ARCHIMEDEAN MEASURES CONNECTED WITH DIRICHLET SERIES

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