The aim of this article is to provide an analogue of the Ball–Rivoal theorem for -adic -values of Dirichlet characters. More precisely, we prove, for a Dirichlet character and a number field , the formula . As a by-product, we establish an asymptotic linear independence result for the values of the -adic Hurwitz zeta function.
"Linear independence result for -adic -values." Duke Math. J. 169 (18) 3439 - 3476, 1 December 2020. https://doi.org/10.1215/00127094-2020-0043