On alternating analogues of Tornheim’s double series
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- by Hirofumi Tsumura
- Proc. Amer. Math. Soc. 131 (2003), 3633-3641
- DOI: https://doi.org/10.1090/S0002-9939-03-07186-7
- Published electronically: July 9, 2003
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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.References
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Bibliographic Information
- Hirofumi Tsumura
- Affiliation: Department of Management Informatics, Tokyo Metropolitan College, Akishima, Tokyo 196-8540 Japan
- Email: tsumura@tmca.ac.jp
- Received by editor(s): March 22, 2002
- Received by editor(s) in revised form: May 28, 2002
- Published electronically: July 9, 2003
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3633-3641
- MSC (2000): Primary 11M06; Secondary 30B99, 33E20, 40A05, 40B05
- DOI: https://doi.org/10.1090/S0002-9939-03-07186-7
- MathSciNet review: 1998168