On \(p\)-adic \(L\)-functions of \(GL(2) \times{} GL(2)\) over totally real fields

DOI10.5802/aif.1258zbMath0739.11019OpenAlexW1987502746MaRDI QIDQ1812969

Haruzo Hida

Publication date: 25 June 1992

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_2_311_0

zbMATH Keywords

interpolationautomorphic representationHilbert cusp forms\(p\)-adic analytic functionRankin product \(L\)-function

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70) 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 (5)

\(p\)-adic \(L\)-functions of Hilbert modular forms ⋮ \(p\)-adic Hecke algebras for \(GL(2)\) ⋮ Heegner cycles and congruences between anticyclotomic \(p\)-adic \(L\)-functions over CM-extensions ⋮ \(p\)-ordinary cohomology groups for \(\text{SL}(2)\) over number fields ⋮ Transcendence of Hecke operators in the big Hecke algebra

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