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arxiv: 0705.0698 · v2 · submitted 2007-05-04 · 🧮 math.NT · math.CA

Signed q-Analogs of Tornheim's Double Series

classification 🧮 math.NT math.CA
keywords doubleseriessignedtornheimq-analogsconsequencecorrectevaluate
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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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