On alternating analogues of Tornheim's double series

Proceedings of the American Mathematical Society

Volumn 131, Issue 12, 2003, Pages 3633-3641

  Tsumura, Hirofumi ^a  

^a Tokyo Metropolitan Coll   (Japan)

Author keywords

Euler numbers; Riemann's zeta function; Tornheim's double series; Uniformly convergent series

Indexed keywords

EID: 0344497404     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07186-7     Document Type: Conference Paper

References (7)

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3. L. J. Mordell, On the evaluation of some multiple series, J. London Math. Soc. 33 (1958), 368-371. MR 20:6615
4. M. V. Subbarao and R. Sitaramachandra Rao, On some infinite series of L. J. Mordell and their analogues, Pacific J. Math. 119 (1985), 245-255. MR 87c:11091
5. L. Tornheim, Harmonic double series, Amer. J. Math. 72 (1950), 303-314. MR 11:654a
6. H. Tsumura, On some combinatorial relations for Tornheim's double series, Acta Arith. 105 (2002), 239-252.
7. H. Tsumura, On Tornheim's type of double harmonic series, submitted.