Triple product \(p\)-adic \(L\)-functions associated to finite slope \(p\)-adic families of modular forms

DOI10.1215/00127094-2020-0076zbMath1494.11046OpenAlexW3165627721MaRDI QIDQ2037875

Fabrizio Andreatta, Adrian Iovita

Publication date: 8 July 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-2020-0076

zbMATH Keywords

de Rham cohomology\(p\)-adic \(L\)-functionsoverconvergent modular formsoverconvergent modular sheavesvector bundles with marked sections

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (12)

p-adic L-functions via local–global interpolation: the case of ⋮ p-adic Eichler–Shimura maps for the modular curve ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ OVERCONVERGENT DE RHAM EICHLER–SHIMURA MORPHISMS ⋮ P-adic L-functions in universal deformation families ⋮ A \(p\)-adic Maass-Shimura operator on Mumford curves ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou ⋮ Nearly overconvergent Siegel modular forms ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups

Cites Work

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