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Quasi-derivation relations for multiple zeta values revisited

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Abstract

We take another look at the so-called quasi-derivation relations in the theory of multiple zeta values, by giving a certain formula for the quasi-derivation operator. In doing so, we are not only able to prove the quasi-derivation relations in a simpler manner but also give an analog of the quasi-derivation relations for finite multiple zeta values.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Numbers JP16H06336.

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Authors and Affiliations

  1. Faculty of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

    Masanobu Kaneko

  2. Nakamura Gakuen University Graduate School, 5-7-1, Befu, Jonan-ku, Fukuoka, 814-0198, Japan

    Hideki Murahara

  3. Graduate School of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

    Takuya Murakami

Authors
  1. Masanobu Kaneko
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  2. Hideki Murahara
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  3. Takuya Murakami
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Correspondence to Hideki Murahara.

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Communicated by Herr Kühn.

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Kaneko, M., Murahara, H. & Murakami, T. Quasi-derivation relations for multiple zeta values revisited. Abh. Math. Semin. Univ. Hambg. 90, 151–160 (2020). https://doi.org/10.1007/s12188-020-00225-9

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  • DOI: https://doi.org/10.1007/s12188-020-00225-9

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