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arXiv · 0705.0698

Signed q-Analogs of Tornheim's Double Series

Xia Zhou·Tianxin Cai·David M. Bradley
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Abstract

We introduce signed q-analogs of Tornheim's double series, and evaluate them in terms of double q-Euler sums. As a consequence, we provide explicit evaluations of signed and unsigned Tornheim double series, and correct some mistakes in the literature.

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Xia Zhou, Tianxin Cai, David M. Bradley. 2008-07-18. Signed q-Analogs of Tornheim's Double Series. https://doi.org/10.1090/s0002-9939-08-09208-3

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