Interpolation of multiple zeta and zeta-star values

DOI10.1016/j.jalgebra.2013.03.023zbMath1336.11062arXiv1203.1118OpenAlexW1972243245MaRDI QIDQ2438454

Shuji Yamamoto

Publication date: 4 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1118

zbMATH Keywords

multiple zeta valuesmultiple zeta-star valuessum formulacyclic sum formulatwo-one conjecture

Mathematics Subject Classification ID

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

Related Items (28)

On multisets, interpolated multiple zeta values and limit laws ⋮ Yamamoto's interpolation of finite multiple zeta and zeta-star values ⋮ Sum of interpolated finite multiple harmonic \(q\)-series ⋮ On functional equations of finite multiple polylogarithms ⋮ An identity involving weighted and desingularized multiple zeta functions ⋮ A new integral-series identity of multiple zeta values and regularizations ⋮ Algebraic relations of interpolated multiple zeta values ⋮ Ohno-type relation for interpolated multiple zeta values ⋮ Products of weighted multiple zeta functions ⋮ Multivariable Hoffman-Ihara operators and the operad of formal power series ⋮ Double shuffle and Hoffman’s relations for interpolated multiple zeta values ⋮ Kawashima's relations for interpolated multiple zeta values ⋮ Evaluation of and period polynomial relations ⋮ On interpolated multiple $L$-values ⋮ Generating function of multiple polylog of Hurwitz type ⋮ Interpolated multiple zeta functions of Arakawa-Kaneko type ⋮ On a conjecture of Furusho over function fields ⋮ Sum of interpolated multiple \(q\)-zeta values ⋮ INTERPOLATED SCHUR MULTIPLE ZETA VALUES ⋮ A weighted sum formula for alternating multiple zeta-star values ⋮ Interpolation of \(q\)-analogue of multiple zeta and zeta-star values ⋮ Sums of two-parameter deformations of multiple polylogarithms ⋮ Quasi-shuffle products revisited ⋮ Hecke eigenform and double Eisenstein series ⋮ Relationships between multiple zeta values of depths 2 and 3 and period polynomials ⋮ A note on harmonic number identities, Stirling series and multiple zeta values ⋮ Quasi-shuffle algebras and applications ⋮ Some relations of interpolated multiple zeta values

Cites Work

• On a conjecture of Kaneko and Ohno
• Multiple zeta values vs. multiple zeta-star values
• Zeta stars
• Multiple harmonic series
• Multiple \(q\)-zeta values
• Relations of multiple zeta values and their algebraic expression.
• An algebraic proof of the cyclic sum formula for multiple zeta values
• ON SOME MULTIPLE ZETA-STAR VALUES OF ONE-TWO-THREE INDICES
• ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES
• Cyclic sum of multiple zeta values

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