Signed q-Analogs of Tornheim's Double Series

Details Signed q-Analogs of Tornheim's Double Series Signed q-Analogs of Tornheim's Double Series

2007-05-04

arxiv.org/abs/0705.0698v2

Proceedings of the American Mathematical Society, Vol 136, No. 8, August 2008, pp. 2689--2698

Mathematics

Number Theory

12 pages, AMSLaTeX. The multinomial notation introduced on page 3 just before Theorem 1 is insufficiently general in version 1

Scientific paper

10.1090/S0002-9939-08-09208-3

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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