scientific article; zbMATH DE number 4196071

zbMath0725.11029MaRDI QIDQ5203103

John H. Coates

Publication date: 1991

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Euler factorsmotivep-adic L-functionsDeligne's period conjecture

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions (11S40)

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Derivative of the standard 𝑝-adic 𝐿-function associated with a Siegel form ⋮ On a BSD-type formula for \(L\)-values of Artin twists of elliptic curves ⋮ p-adic L-functions via local–global interpolation: the case of ⋮ THE p-ADIC GROSS–ZAGIER FORMULA ON SHIMURA CURVES, II: NONSPLIT PRIMES ⋮ Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions ⋮ Ordinary \(p\)-adic Eisenstein series and \(p\)-adic \(L\)-functions for unitary groups ⋮ -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS ⋮ Canonical periods and congruence formulae ⋮ Non-abelian \(p\)-adic \(L\)-functions and Eisenstein series of unitary groups -- the CM method ⋮ Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form ⋮ On \(p\)-adic \(L\)-functions of \(GL(2) \times{} GL(2)\) over totally real fields ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups

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