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Special values of finite multiple harmonic \(q\)-series at roots of unity

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Publication:776421
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DOI10.4171/205-1/1zbMath1439.11218arXiv1807.00411OpenAlexW2811034958MaRDI QIDQ776421

Koji Tasaka, Henrik Bachmann, Yoshihiro Takeyama

Publication date: 9 July 2020

Full work available at URL: https://arxiv.org/abs/1807.00411


zbMATH Keywords

harmonic \(q\)-seriesKaneko-Zagier conjecture


Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)


Related Items (4)

Finite and symmetric colored multiple zeta values and multiple harmonic \(q\)-series at roots of unity ⋮ Sum of interpolated finite multiple harmonic \(q\)-series ⋮ On 3-2-1 values of finite multiple harmonic \(q\)-series at roots of unity ⋮ A note on the sum of finite multiple harmonic q -series on r -( r + 1) indices



Cites Work

  • A degenerate Staudt-Clausen theorem
  • Multiple \(q\)-zeta values
  • Multiple zeta values of fixed weight, depth, and height
  • On relations for the multiple \(q\)-zeta values
  • Cyclotomic analogues of finite multiple zeta values
  • A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series
  • Derivation and double shuffle relations for multiple zeta values


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