On alternating analogues of Tornheim’s double series

Tsumura, Hirofumi

doi:10.1090/S0002-9939-03-07186-7

On alternating analogues of Tornheim’s double series
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Proc. Amer. Math. Soc. 131 (2003), 3633-3641 Request permission

Abstract:

In this paper, we give some evaluation formulas for alternating analogues of Tornheim’s double series. These can be regarded as alternating analogues of Mordell’s formulas. This gives a partial answer to the problem posed by Subbarao-Sitaramachandrarao.

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