On the value-distribution of symmetric power L-functions

2018/08/17 by Kohji Matsumoto, Matsumoto, Kohji, Yumiko Umegaki +1 · 1 citation
Mathematics · #11F66 #11M41 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1808.05749

openalex publication_date 2018/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of "M-functions"). Limit formulas for the Riemann zeta-function, Dirichlet L-functions, automorphic L-functions etc. are discussed. Then we prove new results on the value-distribution of symmetric power L-functions, which are limit formulas involving associated M-functions.

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• An M-function associated with Goldbach's problem

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