Restricted and weighted sum formulas for double zeta values of even weight

Author:

Takashi NAKAMURA

AMS Classification:

11M41

Keywords:

Bernoulli numbers and polynomials, double zeta values, sum formula

Abstract:

In this paper, we give a simple proof for the sum formula of the even- and odd-argument double zeta values of even weight, which has already been proved by H. Gangl, M. Kaneko and D. Zagier. Moreover, we show restricted and weighted sum formulas for double zeta values of even weight.

Download paper:

Nakamura-09.pdf

Vol. 4 (12), 2009