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arXiv · 1703.07471

Evaluation of Tornheim's type of double series

Shin-ya Kadota·Takuya Okamoto·Koji Tasaka
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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.

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Shin-ya Kadota, Takuya Okamoto, Koji Tasaka. 2017-03-21. Evaluation of Tornheim's type of double series. https://arxiv.org/abs/1703.07471

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