Trivial zeros of p-adic L-functions at near central points

2011/07/06 by Denis Benois, Benois, Denis · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT

paper · pdf · doi:10.48550/arxiv.1107.1084

32 pages

openalex publication_date 2011/07/06 · arxiv created 2012/09/06 · arxiv updated 2012/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the \scr L-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum style formula for derivatives of p-adic L-functions of elliptic modular forms at near central points. In the second version of the paper the case of potentially crystalline reduction is also covered.

Cited by

• The refined Tamagawa number conjectures for GL₂

Related

• On extra zeros of p-adic L-functions: the crystalline case
• Exceptional zero formulas for anticyclotomic p-adic L-functions
• p-adic L-functions of automorphic forms and exceptional zeros
• On special zeros of p-adic L-functions of Hilbert modular forms
• Critical p-adic L-function