Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields

2022/07/04 by Fu‐Tsun Wei, Wei, Fu-Tsun
Mathematics · #11G09 #11J93 #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.2207.01165

openalex publication_date 2022/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to determine all algebraic relations among various special gamma values over function fields, and prove a Chowla-Selberg-type formula for quasi-periods of CM abelian t-modules. Our results are based on the intrinsic relations between gamma values in question and periods of CM dual t-motives, which are interpreted in terms of their "distributions". This also enables us to derive an analogue of the Deligne-Gross period conjecture for CM Hodge-Pink structures.

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