Bulletin of the Australian Mathematical Society

Research Article

On evaluation formulas for double L-values

Hirofumi Tsumuraa1

a1 Department of Management Informatics, Tokyo Metropolitan College, Akishima, Tokyo 196–8540, Japan e-mail: tsumura@tmca.ac.jp

In this paper, we give some evaluation formulas for the values of double L-series of Tornheim's type, in terms of the Dirichlet L-values and the Riemann zeta values at positive integers. As special cases, these give the formulas for double L-values given by Terhune.

(Received February 07 2004)