On q-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values View Full Text


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Article Info

DATE

2015-02

AUTHORS

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

ABSTRACT

Recently, the present authors jointly with Tauraso found a family of binomial identities for multiple harmonic sums (MHS) on strings ({2}a,c,{2}b) that appeared to be useful for proving new congruences for MHS as well as new relations for multiple zeta values. Very recently, Zhao generalized this set of MHS identities to strings with repetitions of the above patterns and, as an application, proved the two-one formula for multiple zeta star values conjectured by Ohno and Zudilin. In this paper, we extend our approach to q-binomial identities and prove q-analogues of two-one formulas for multiple zeta star values. More... »

PAGES

275-291

References to SciGraph publications

  • 2005. Algebraic Aspects of Multiple Zeta Values in ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS
  • 2007-10. Multiple q-zeta functions and multiple q-polylogarithms in THE RAMANUJAN JOURNAL
  • 2007-12. On relations for the multiple q-zeta values in THE RAMANUJAN JOURNAL
  • 2014-04. Hilbert schemes and multiple q-zeta values in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 2016-08. The algebra of generating functions for multiple divisor sums and applications to multiple zeta values in THE RAMANUJAN JOURNAL
  • 1994. Values of Zeta Functions and Their Applications in FIRST EUROPEAN CONGRESS OF MATHEMATICS PARIS, JULY 6–10, 1992
  • 2001-12. On q-analogues of Riemann's zeta function in SELECTA MATHEMATICA
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    URI

    http://scigraph.springernature.com/pub.10.1007/s00605-014-0715-2

    DOI

    http://dx.doi.org/10.1007/s00605-014-0715-2

    DIMENSIONS

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