On functional relations for the alternating analogues of Tornheim's double zeta function

Details On functional relations for the alternating analogues of Tornheim's double zeta function On functional relations for the alternating analogues of Tornheim's double zeta function

2010-11-12

arxiv.org/abs/1011.2897v1

Mathematics

Number Theory

11 pages

Scientific paper

We give two functional relations for the alternating analogues of Tornheim's
double zeta function. Using the functional relations, we give new proofs of
some evaluation formulas found by H. Tsumura for these alternating series.

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