Evaluation of Tornheim's type of double series

Abstract

We examine values of certain Tornheim's type of double series with odd weight. As a result, an affirmative answer to a conjecture about the parity theorem for the zeta function of the root system of the exceptional Lie algebra $G_2$, proposed by Komori, Matsumoto and Tsumura, is given.

14 pages

References in corpus (1)

• Signed q-Analogs of Tornheim's Double Series