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

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

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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

Information

Received: 29 March 2017; Revised: 3 September 2017; Published: Spring and Summer 2017
First available in Project Euclid: 3 March 2018

zbMATH: 06864464
MathSciNet: MR3770841
Digital Object Identifier: 10.1215/ijm/1520046214

Subjects:
Primary: 11M32
Secondary: 40B05

Rights: Copyright © 2017 University of Illinois at Urbana-Champaign

Vol.61 • No. 1-2 • Spring and Summer 2017
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