论文信息 - A formula of S. Ramanujan - 字舞流文

A formula of S. Ramanujan

Abstract In this paper, we discuss various equivalent formulations for the sum of an infinite series considered by S. Ramanujan. In the process, we also evaluate, in closed form, various classes of related infinite series.

R. Sitaramachandrarao

[1] M. Newman,et al. Sums involving Farey fractions , 1969 .

[2] M. V. Subbarao,et al. TRANSFORMATION FORMULAE FOR MULTIPLE SERIES , 1984 .

[3] Leonard Tornheim,et al. Harmonic Double Series , 1950 .

[4] Leonard Lewin,et al. Polylogarithms and Associated Functions , 1981 .

[5] Shigeru Kanemitus. On some sums involving farey fractions , 1978 .

[6] M. Subbarao,et al. On some infinite series of L. J. Mordell and their analogues. , 1985 .

[7] Tom M. Apostol,et al. Dirichlet series related to the Riemann zeta function , 1984 .

[8] P. F. Jordan. Infinite sums of psi functions , 1973 .

[9] Y. Matsuoka. On the Values of a Certain Dirichlet Series at Rational Integers , 1982 .