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A note on derivation relations for multiple zeta values and finite multiple zeta values
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The derivation relation is a well known relation among multiple zeta values, which was first obtained by Ihara, Kaneko and Zagier. The analogous formula for finite multiple zeta values, which we call the derivation relation for finite multiple zeta values, was conjectured by the third author and proved by the second author. In this paper, we show these two kinds of derivation relations are respectively equivalent to the Ohno type relations for multiple zeta values and finite multiple zeta values. We also reprove these derivation relations in several different ways.
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Cited by 1 Pith paper
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Yamamoto's interpolation of finite multiple zeta and zeta-star values
The interpolated finite multiple zeta and zeta-star values are shown to satisfy cyclic sum, Bowman-Bradley, weighted sum, harmonic, shuffle, duality, and derivation relations.
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