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.
Citation
Shin-ya Kadota. Takuya Okamoto. Koji Tasaka. "Evaluation of Tornheim’s type of double series." Illinois J. Math. 61 (1-2) 171 - 186, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046214
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