Gamma series associated to elements satisfying regularized double shuffle relations

DOI10.1016/j.jnt.2009.08.010zbMath1221.11185OpenAlexW2070384062MaRDI QIDQ1048925

Zhong-Hua Li

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.010

zbMATH Keywords

multiple zeta valuesdouble shuffle relations

Mathematics Subject Classification ID

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

Related Items (5)

Algebraic relations of interpolated multiple zeta values ⋮ Derivation relations and duality for the sum of multiple zeta values ⋮ Regularized double shuffle and Ohno-Zagier relations of multiple zeta values ⋮ Some relations deduced from regularized double shuffle relations of multiple zeta values ⋮ LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS

Cites Work

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• Combinatorial aspects of multiple zeta values
• The algebra of multiple harmonic series
• Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
• The algebra and combinatorics of shuffles and multiple zeta values
• Special values of hyperlogarithms and linear difference schemes
• Double shuffles of multiple polylogarithms at roots of unity
• Derivation and double shuffle relations for multiple zeta values

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