Let , then
(1) |
(2) | |
(3) |
(4) |
(5) |
(6) | |||
(7) |
References
Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 3 and 102-106, 1994.
Berndt, B. C. and Bhargava, S. ``A Remarkable Identity Found in Ramanujan's Third Notebook.'' Glasgow Math. J. 34, 341-345, 1992.
Berndt, B. C. and Bhargava, S. ``Ramanujan--For Lowbrows.'' Amer. Math. Monthly 100, 644-656, 1993.
Bhargava, S. ``On a Family of Ramanujan's Formulas for Sums of Fourth Powers.'' Ganita 43, 63-67, 1992.
Hirschhorn, M. D. ``Two or Three Identities of Ramanujan.'' Amer. Math. Monthly 105, 52-55, 1998.
Nanjundiah, T. S. ``A Note on an Identity of Ramanujan.'' Amer. Math. Monthly 100, 485-487, 1993.
Ramanujan, S. Notebooks. New York: Springer-Verlag, pp. 385-386, 1987.