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On alternating analogues of Tornheim's double series
Authors:Hirofumi Tsumura
Affiliation:Department of Management Informatics, Tokyo Metropolitan College, Akishima, Tokyo 196-8540 Japan
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.

Keywords:Tornheim's double series   Euler numbers   Riemann's zeta function   uniformly convergent series
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