On alternating analogues of Tornheim’s double series

Author:

Tsumura Hirofumi

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Zeros of Bernoulli, generalized Bernoulli and Euler polynomials;Dilcher, Karl;Mem. Amer. Math. Soc.,1988

2. On Tornheim’s double series;Huard, James G.;Acta Arith.,1996

3. On the evaluation of some multiple series;Mordell, L. J.;J. London Math. Soc.,1958

4. On some infinite series of L. J. Mordell and their analogues;Subbarao, M. V.;Pacific J. Math.,1985

5. The lattice theory of ova;Ward, Morgan;Ann. of Math. (2),1939

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