On finite multiple zeta values of level two

2021/09/26 by Kaneko, Masanobu, Murakami, Takuya, Yoshihara, Amane
#11A07 #11M32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2109.12501

Abstract

We introduce and study a ``level two'' analogue of finite multiple zeta values. We give conjectural bases of the space of finite Euler sums as well as that of usual finite multiple zeta values in terms of these newly defined elements. A kind of ``parity result'' and certain sum formulas are also presented.

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