Multivariable connected sums and multiple polylogarithms

DOI10.1007/s40687-021-00297-wzbMath1497.11218arXiv2103.05492OpenAlexW3135168800MaRDI QIDQ2065739

Takumi Maesaka, Hanamichi Kawamura, Shin-ichiro Seki

Publication date: 13 January 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05492

zbMATH Keywords

multiple zeta valuesconnected sumsmultiple polylogarithmsconnectorOhno's relation

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Three Symmetric Double Series by Telescoping

Cites Work

• A generalization of the duality and sum formulas on the multiple zeta values
• On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions
• A new integral-series identity of multiple zeta values and regularizations
• Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• The Dilogarithm Function
• Volumes of hyperbolic manifolds and mixed Tate motives
• Special values of multiple polylogarithms
• A new proof of the duality of multiple zeta values and its generalizations
• THIRTY-TWO GOLDBACH VARIATIONS

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