Another look at \(p\)-adic \(L\)-functions for totally real fields

DOI10.1007/BF01450554zbMath0497.14006MaRDI QIDQ1170578

Nicholas M. Katz

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182823

zbMATH Keywords

totally real fieldCartier duality for toroidal groupsp-adic measures on profinite ray class monoids

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40) Totally real fields (11R80)

Related Items

\(p\)-adic Abelian Stark conjectures at \(s=1\) ⋮ Algebraic number fields ⋮ Residue at \(s=1\) of \(p\)-adic zeta functions ⋮ Special values of Artin L-series ⋮ Note on \(p\)-adic local functional equation ⋮ Canonical equivariant cohomology classes generating zeta values of totally real fields ⋮ Polynomial behavior of special values of partial zeta functions of real quadratic fields at \(s = 0\) ⋮ Iwasawa \(\lambda \)-invariants of \(p\)-adic measures on \(\mathbb Z^n_p\) and their \(\varGamma \)-transforms ⋮ Remarques sur l'invariant mu d'Iwasawa dans le cas CM ⋮ The Shintani cocycle. II: Partial \(\zeta\)-functions, cohomologous cocycles and \(p\)-adic interpolation ⋮ ANOTHER LOOK AT IWASAWA λ-INVARIANTS OF p-ADIC MEASURES ON $\mathbb {Z}_{p}^n$ AND Γ-TRANSFORMS ⋮ Computing $p$-adic $L$-functions of totally real number fields ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields ⋮ On the \(\mu\)-invariant of the \(\Gamma\)-transform of a rational function

Cites Work

• Values of abelian \(L\)-functions at negative integers over totally real fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
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