The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation

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The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for polylogarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.
26 pages, 4 figures, with the appendix by Michitomo Nishizawa and the second author

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Number Theory, Classical Analysis and ODEs, Quantum Algebra, 11M06; 40B05

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http://salesiana.dossiersoluciones.com/handle/123456789/68887

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310259
 http://arxiv.org/abs/math/0310259

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arXiv