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 t -modules. Our results are based on the intrinsic relations between gamma values in question and periods of CM dual t 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.
Fu-Tsun Wei (Fri,) studied this question.