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Multiple q -Zeta Brackets

Author

Listed:
  • Wadim Zudilin

    (School of Mathematical and Physical Sciences, the University of Newcastle, Callaghan, NSW 2308, Australia)

Abstract

The multiple zeta values (MZVs) possess a rich algebraic structure of algebraic relations, which is conjecturally determined by two different (shuffle and stuffle) products of a certain algebra of noncommutative words. In a recent work, Bachmann constructed a q -analogue of the MZVs—the so-called bi-brackets—for which the two products are dual to each other, in a very natural way. We overview Bachmann’s construction and discuss the radial asymptotics of the bi-brackets, its links to the MZVs, and related linear (in)dependence questions of the q -analogue.

Suggested Citation

  • Wadim Zudilin, 2015. "Multiple q -Zeta Brackets," Mathematics, MDPI, vol. 3(1), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:1:p:119-130:d:47126
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