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arXiv 0705.0698math.NTmath.CA
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Tornheim二重级数的带符号q-模拟

Signed q-Analogs of Tornheim's Double Series

Xia Zhou, Tianxin Cai, David M. Bradley

摘要:

我们引入了Tornheim的二重级数的带符号的q-模拟,并根据二重q-欧拉和来评价它们。由此,我们给出了有符号和无符号Tornheim二重级数的显式估计,并纠正了文献中的一些错误.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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