Evaluation formulas for Tornheim's type of alternating double series

Mathematics of Computation

Volumn 73, Issue 245, 2004, Pages 251-258

  Tsumura, Hirofumi ^a  

^a Tokyo Metropolitan Coll   (Japan)

Author keywords

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

Indexed keywords

EID: 0942268040     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-03-01572-2     Document Type: Article

References (6)

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2. J. G. Huard, K. S. Williams and Z. Nan-Yue, On Tornheim's double series, Acta Arith. 75-2 (1996), 105-117. MR 97f: 11073
3. M. V. Subbarao and R. Sitaramachandrarao, On some infinite series of L. J. Mordell and their analogues, Pacific J. Math., 119 (1985), 245-255. MR 87c:11091
4. L. Tornheim, Harmonic double series, Amer. J. Math. 72 (1950), 303-314. MR 11:654a
5. H. Tsumura, On some combinatorial relations for Tornheim's double series, Acta Arith., 105 (2002), 239-252.
6. H. Tsumura, On alternating analogues of Tornheim's double series, Proc. Amer. Math. Soc., 131 (2003), 3633-3641.