Abstract. We investigate Newton series for truncated multiple L-values and thereby we obtain a class of relations for multiple L-values. Also we give a formulation and a proof of extended derivation relations for multiple L-values.

Abstract. We investigate Newton series for truncated multiple L-values and thereby obtain a class of relations for multiple L-values. In addition, we give a formulation and a proof of extended derivation relations for multiple L-values.

Abstract. Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relations for multiple zeta values. The aim of this paper is to give a proof of the conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. Also we will give some algebraic aspects of the extended derivation operator ∂ (c) n on Q〈x, y〉, which was defined

Abstract. Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relations for multiple zeta values. The aim of this paper is to give a proof of the conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. Also we will give some algebraic aspects of the extended derivation operator ∂ (c) n on Q〈x, y〉, which was defined

Abstract. Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relation for multiple zeta values. The goal of the present paper is to present a proof of this conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. In addition, some algebraic aspects of the quasi-derivation operator ∂ (c) n on Q〈x, y〉, which was defined by modeling a Hopf algebra developed by Connes and Moscovici, will

In the present paper, we prove that certain parametrized multiple series satisfy the same relation as Ohno’s relation for multiple zeta values. This result gives us a generalization of Ohno’s relation for multiple zeta values. By virtue of this generalization, we obtain a certain equivalence between the above relation among the parametrized multiple series and a subfamily of the relation. As applications of the above results, we obtain some results on multiple zeta values. 1

series expressions for the Newton series

Abstract not found

Abstract not found

Abstract not found