Integrality of v-adic Multiple Zeta Values

In this article, we prove the integrality of v-adic multiple zeta values (MZVs). For any index s & ISIN; Nr and finite place v & ISIN; A := Fq[& theta;], Chang and Mishiba introduced the notion of the v-adic MZVs & zeta;A(s)v, which is a function field analogue of Furusho's p-adic MZVs. By estimating the v-adic valuation of & zeta;A(s)v, we show that & zeta;A(s)v is a v-adic integer for almost all v. This result can be viewed as a function field analogue of the integrality of p-adic MZVs, which was proved by Akagi-Hirose-Yasuda and Chatzistamatiou.