Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields
Number Theory
2026-01-13 v2
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 -modules. Our results are based on the intrinsic relations between gamma values in question and periods of CM dual -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.
Cite
@article{arxiv.2207.01165,
title = {Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields},
author = {Fu-Tsun Wei},
journal= {arXiv preprint arXiv:2207.01165},
year = {2026}
}