p-adic interpolation of square roots of central L-values of modular forms

2012/11/02 by Nick Ramsey, Nick F. Ramsey, Ramsey, Nick
Mathematics · #11F11 #11F30 #11F33 #11F37 #11F67 #14G22 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11F30 #msc:11F33 #msc:11F37 #msc:11F67 #msc:14G22

paper · pdf · doi:10.48550/arxiv.1211.0561

arxiv created 2012/11/02 · openalex publication_date 2012/11/02 · arxiv updated 2012/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a meromorphic function on the eigencurve that interpolates a square root of the ratio of the central values of two quadratic twists of the L-function at classical points.

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