Evaluation of Tornheim's type of double series

2017/03/21 by Shin-ya Kadota, Kadota, Shin-ya, Takuya Okamoto +3
Mathematics · #Advanced Mathematical Identities #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1703.07471

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 G₂, proposed by Komori, Matsumoto and Tsumura, is given.

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