5 papers
Finite automata and relations of multiple zeta values
Sinya Kitani, Eiki Sawada, Kimio Ueno
The theory of finite automata applies to the study on relations of multiple zeta values.
Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function
Michitomo Nishizawa, Kimio Ueno
The functional relation of the Hurwitz zeta function is proved by using the connection problem of the confluent hypergeometric equation.
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…
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.
New Approach to Ohno Relation for Multiple Zeta Values
Jun-ichi Okuda, Kimio Ueno
Ohno's relation gives a large family of relations of the multiple zeta values. We shall show functional relations of generating functions of Ohno's relation. With these relations w…