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

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

2003-10-17

arxiv.org/abs/math/0310259v2

Mathematics

Number Theory

26 pages, 4 figures, with the appendix by Michitomo Nishizawa and the second author

Scientific paper

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.

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