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

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.

Keywords

Tornheim’s double zeta function / Riemann zeta function / Functional relations

References

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