Evaluation formulas for Tornheim's type of alternating double series

@article{Tsumura2004EvaluationFF,
  title={Evaluation formulas for Tornheim's type of alternating double series},
  author={Hirofumi Tsumura},
  journal={Math. Comput.},
  year={2004},
  volume={73},
  pages={251-258}
}
In this paper, we give some evaluation formulas for Tornheim’s type of alternating series by an elementary and combinatorial calculation of the uniformly convergent series. Indeed, we list several formulas for them by means of Riemann’s zeta values at positive integers. 

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