Integrality of -adic Multiple Zeta Values
Yen-Tsung Chen
National Tsing Hua University, Hsinchu City, Taiwan (R.O.C.)
![Integrality of $v$-adic Multiple Zeta Values cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-59-issue-1.png&w=3840&q=90)
Abstract
In this article, we prove the integrality of -adic multiple zeta values (MZVs). For any index and finite place , Chang and Mishiba introduced the notion of the -adic MZVs , which is a function field analogue of Furusho's -adic MZVs. By estimating the -adic valuation of , we show that is a -adic integer for almost all . This result can be viewed as a function field analogue of the integrality of -adic MZVs, which was proved by Akagi–Hirose–Yasuda and Chatzistamatiou.
Cite this article
Yen-Tsung Chen, Integrality of -adic Multiple Zeta Values. Publ. Res. Inst. Math. Sci. 59 (2023), no. 1, pp. 123–151
DOI 10.4171/PRIMS/59-1-4