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Zeta Value Identities From Iterated Integrals With Additional Factors

Author

Listed:
  • Chan-Liang Chung
  • Minking Eie

Abstract

A multiple zeta value can always be represented by its Drinfel’d integral. If we add some factors appeared in the integrand of the integral representation of the multiple zeta value, it would still represent a linear combination of multiple zeta values, but the depths and weights may decrease. In this paper, we shall investigate some of multiple zeta values obtained from Drinfel’d integral with additional factors aforementioned and study a class of deformation of multiple zeta values. Results are then obtained as analogues or generalizations of the sum formula of multiple zeta values.

Suggested Citation

  • Chan-Liang Chung & Minking Eie, 2019. "Zeta Value Identities From Iterated Integrals With Additional Factors," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(5), pages 40-51, October.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:40
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    More about this item

    Keywords

    multiple zeta value; Drinfel'd integral; sum formula; duality; Euler sum with two branches;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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