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math.NT2003
The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation
Jun-ichi Okuda, Kimio Ueno
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 connec…
math.CA2003★ 1 cited
Duality formulas of the Special Values of Multiple Polylogarithms
Jun-ichi Okuda
The special values of multiple polylogarithms, which including multiple zeta values, appear some fields of mathematics and physics. Many kinds of their linear relations are investi…
math.NT2003
Relations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarithms
Jun-ichi Okuda, Kimio Ueno
The relationship between the Ohno relation and multiple polylogarithms are discussed. Using this relationship, the algebraic reduction of the Ohno relation is given.