Tohoku Mathematical Journal
2019
March
SECOND SERIES VOL. 71, NO. 1

Tohoku Math. J.
71 (2019), 111-122

Title THE $\boldsymbol{p}$-ADIC DUALITY FOR THE FINITE STAR-MULTIPLE POLYLOGARITHMS

Author Shin-ichiro Seki

(Received May 23, 2016, revised August 30, 2016)
Abstract. We prove the $\boldsymbol{p}$-adic duality theorem for the finite star-multiple polylogarithms. That is a generalization of Hoffman's duality theorem for the finite multiple zeta-star values.

Mathematics Subject Classification. Primary 11M32.
Key words and phrases. Finite multiple zeta values, finite multiple polylogarithms.

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