Interpolation of \(q\)-analogue of multiple zeta and zeta-star values

DOI10.1016/j.jnt.2016.10.007zbMath1422.11182arXiv1609.01197OpenAlexW2964197328MaRDI QIDQ503692

Noriko Wakabayashi

Publication date: 23 January 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01197

zbMATH Keywords

cyclic sum formula\(t\)-\(q\)MZVsharmonic productsHoffman type relationKawashima type relation

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (5)

Sum of interpolated finite multiple harmonic \(q\)-series ⋮ Double shuffle and Hoffman’s relations for interpolated multiple zeta values ⋮ Generating function of multiple polylog of Hurwitz type ⋮ Sum of interpolated multiple \(q\)-zeta values ⋮ INTERPOLATED SCHUR MULTIPLE ZETA VALUES

Cites Work

• Quadratic relations for a \(q\)-analogue of multiple zeta values
• Kawashima's relations for interpolated multiple zeta values
• Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms
• The algebra of multiple harmonic series
• Multiple \(q\)-zeta values
• An algebraic proof of the cyclic sum formula for multiple zeta values
• Interpolation of multiple zeta and zeta-star values
• On relations for the multiple \(q\)-zeta values
• Double shuffle and Hoffman’s relations for interpolated multiple zeta values
• On the sum formula for the $q$-analogue of non-strict multiple zeta values

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