Evaluation of Tornheim's type of double series
classification
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keywords
doubleseriestornheimtypeaffirmativealgebraanswercertain
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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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