Modular 𝑝-adic 𝐿-functions and 𝑝-adic Hecke algebras

DOI10.1090/trans2/160/08zbMath0811.11040OpenAlexW4240778398MaRDI QIDQ5286206

Haruzo Hida

Publication date: 29 June 1993

Published in: Selected Papers on Number Theory, Algebraic Geometry, and Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/160/08

zbMATH Keywords

survey\(p\)-adic Hecke algebrascuspidal irreducible representations\(p\)-adic \(L\)-function of algebraic groups

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Langlands-Weil conjectures, nonabelian class field theory (11S37) Linear algebraic groups over local fields and their integers (20G25)

Related Items (4)

\(p\)-adic Hecke algebras for \(GL(2)\) ⋮ Congruences between cusp forms: The \((p,p)\) case ⋮ Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$ ⋮ \(p\)-ordinary cohomology groups for \(\text{SL}(2)\) over number fields

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