We study multiple zeta values (MZV’s) over the rational function field $${\mathbb {F}}_q$$ which were introduced by Thakur as analogues of classical Euler. In this paper we affirmatively solve a conjecture Lara Rodriguez and gives full list zeta-like MZV’s weight at most $$q^2$$ depth 2. Further, completely determine all arbitrary depth. Our method is based on criterion derived from Anderson–Th...

We prove the Ohno-type relation for interpolated multiple zeta values, which was introduced first by Yamamoto. Same type results F-multiple values are also given. Moreover, these relations give sum formula and were proved Yamamoto Seki, respectively.

Multiple zeta values have been studied by a wide variety of methods. In this article we summarize some of the results about them that can be obtained by an algebraic approach. This involves “coding” the multiple zeta values by monomials in two noncommuting variables x and y. Multiple zeta values can then be thought of as defining a map ζ : H0 → R from a graded rational vector space H0 generated...

In a recent paper, A. Libgober showed that the multiplicative sequence {Qi(c1, . . . , ci)} of Chern classes corresponding to the power series Q(z) = Γ(1 + z)−1 appears in a relation between the Chern classes of certain Calabi-Yau manifolds and the periods of their mirrors. We show that the polynomials Qi can be expressed in terms of multiple zeta values. 1. The multiplicative sequence In [6], ...