Ramanujan's Sum Identity
If
 | (1) |
 | (2) |
 | (3) |
 | (4) |
 |  |  | |
| (5) | |||
 | |  | |
| (6) | |||
 | |  | |
| (7) |
where
 | |  | (8) |
 | |  | (9) |
Hirschhorn (1996) showed that checking the first seven cases
to 6 is sufficient to prove the result.
References
Hirschhorn, M. D. ``An Amazing Identity of Ramanujan.'' Math. Mag. 68, 199-201, 1995. Hirschhorn, M. D. ``A Proof in the Spirit of Zeilberger of an Amazing Identity of Ramanujan.'' Math. Mag. 69, 267-269, 1996.
- Watson's Theorem
- Watt's Curve
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- Wave
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