Abstract
In this paper, new proofs of two functional relations for the alternating analogues of Tornheim’s double zeta function are given. Using the functional relations, the author gives new proofs of some evaluation formulas found by Tsumura for these alternating series.
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This work was supported by the National Natural Science Foundation of China (No. 11471245) and the Shanghai Natural Science Foundation (No. 14ZR1443500).
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Li, Z. On functional relations for the alternating analogues of Tornheim’s double zeta function. Chin. Ann. Math. Ser. B 36, 907–918 (2015). https://doi.org/10.1007/s11401-015-0933-5
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DOI: https://doi.org/10.1007/s11401-015-0933-5