Rogers–Ramanujan identities
Identidades de Rogers-Ramanujan
- Date
- 1894-1919 · confidence high
- Place
- Leeds, England, United Kingdom
- Credited to
- Leonard James Rogers (1894) and Srinivasa Ramanujan (rediscovery c. 1913); joint proof published 1919; Issai Schur also rediscovered them independently in 1917.
- Field
- Knowledge & symbols
What was discovered
Two identities in partition theory and basic hypergeometric series, found by Leonard James Rogers in 1894, independently rediscovered without proof by Ramanujan around 1913, and jointly published in 1919.
What it led to
- development of integer partition theory
- applications in statistical mechanics (Baxter's model)
- spurred the Hardy–Ramanujan collaboration
- new hypergeometric identities