Computing p-adic L-functions of totally real number fields

2011/10/03 by Xavier-François Roblot, Roblot, Xavier-François
Mathematics · #11R42 #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1110.0246

openalex publication_date 2011/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove explicit formulas for the p-adic L-functions of totally real number fields and show how these formulas can be used to compute values and representations of p-adic L-functions.

Related

• On p-adic L-functions for \rm GL(n)×\rm GL(n-1) over totally real fields
• p-adic Measures for Reciprocals of L-functions of Totally Real Fields
• Some aspects of analysis related to p-adic numbers, 2
• Sum expressions for p-adic Hecke L-functions of totally real fields
• Λ-adic modular symbols and several variable p-adic L-functions over totally real fields