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From the binomial theorem to the Rogers-Ramaujan identities and beyond
The binomial theorem is ancient, but some useful extensions of it have been found in the last two hundred years. Two of these will be described and some of the results one can obtain from them will be outlined. Two results are identities known as the Rogers-Ramanujan identities. These were discovered by L.J. Rogers, but ignored until Srinivasa Ramanujan found but could not prove them. The surprising story of how these arose in the 1890s and then turned out to be essential in some work in physics in the 1980s will be described.
- "The binomial theorem is ancient, but some useful extensions of it have been found in the last two hundred years. Two of these will be described and some of the results one can obtain from them will be outlined. Two results are identities known as the Rogers-Ramanujan identities. These were discovered by L.J. Rogers, but ignored until Srinivasa Ramanujan found but could not prove them. The surprising story of how these arose in the 1890s and then turned out to be essential in some work in physics in the 1980s will be described."@en
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- "From the binomial theorem to the Rogers-Ramaujan identities and beyond"@en