It was proved by Prof. L. J. Rogers^{[1]}that

Simpler proofs were afterwards found by Prof. Rogers and myself^{[2]}.

.

.

Each of these formulæ is the simplest of a large class.

- ↑
*Proc. London Math. Soc.*, Ser. 1, Vol. xxv, 1894, pp. 318–343. - ↑
*Proc. Camb. Phil. Soc.*, Vol. xix, 1919, pp. 211–216. A short account of the history of the theorems is given by Mr Hardy in a note attached to this paper. [For Ramanujan's proofs see No. 26 of this volume: those of Rogers, and the note by Hardy referred to, are reproduced in the notes on No. 26 in the Appendix.]

This work was published before January 1, 1929, and is in the **public domain** worldwide because the author died at least 100 years ago.

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