Relations for multiple zeta values and Mellin transforms of multiple polylogarithms

DOI10.2977/prims/1145475814zbMath1142.11355arXivmath/0301277OpenAlexW2045973964MaRDI QIDQ1885502

Kimio Ueno, Jun-Ichi Okuda

Publication date: 5 November 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301277

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Polylogarithms and relations with (K)-theory (11G55) Higher logarithm functions (33B30)

Related Items (14)

On the sum formula for the $q$-analogue of non-strict multiple zeta values ⋮ Gauss hypergeometric functions, multiple polylogarithms, and multiple zeta values ⋮ COMBINATORIAL PROOFS OF IDENTITIES FOR SPECIAL VALUES OF ARAKAWA-KANEKO MULTIPLE ZETA FUNCTIONS ⋮ Zeta functions connecting multiple zeta values and poly-Bernoulli numbers ⋮ Interpolated multiple zeta functions of Arakawa-Kaneko type ⋮ Multiple \(q\)-zeta values ⋮ A generating function for sums of multiple zeta values and its applications ⋮ Sum Relations for Multiple Zeta Values ⋮ The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation ⋮ Multivariable connected sums and multiple polylogarithms ⋮ A generalization of Ohno's relation for multiple zeta values ⋮ THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO ⋮ MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS ⋮ Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions

Cites Work

• Multiple harmonic series
• A generalization of the duality and sum formulas on the multiple zeta values
• The algebra of multiple harmonic series
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