ON SOME MULTIPLE ZETA-STAR VALUES OF ONE-TWO-THREE INDICES

DOI10.1142/S1793042113500188zbMath1276.11144arXiv1203.1115MaRDI QIDQ2840295

Shuji Yamamoto, Koji Tasaka

Publication date: 17 July 2013

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

Full work available at URL: https://arxiv.org/abs/1203.1115

zbMATH Keywords

multiple zeta valuesmultiple zeta-star valuestwo-one formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Graded rings and modules (associative rings and algebras) (16W50) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Interpolation of multiple zeta and zeta-star values ⋮ Multiple zeta functions and polylogarithms over global function fields ⋮ New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series ⋮ Evaluations of nonlinear Euler sums of weight ten

Cites Work

• Mixed Tate motives over \(\mathbb{Z}\)
• Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
• On a conjecture of Kaneko and Ohno
• Multiple zeta values vs. multiple zeta-star values
• Zeta stars
• The algebra of multiple harmonic series
• ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES