$v$-adic periods of Carlitz motives and Chowla-Selberg formula revisited

Chieh-Yu Chang, Fu-Tsun Wei, Jing Yu

Let $v$ be a finite place of ${\mathbb{F}}_q(\hat{I}¸)$. In this paper, we interpret $v$-adic arithmetic gamma values in terms of the $v$-adic crystalline-de Rham periods of Carlitz motive…