
Mathematics & Computer Science
Ramanujan's number theory
c. 1914-1920 CESrinivasa RamanujanRamanujan's notebooksPan-Indian / unspecified
1914
Deep results on partitions, highly composite numbers, mock theta functions and infinite series, much of it self-taught.
- Dated
- 1914–1920
- As scholars put it
- c. 1914-1920 CE
- Originator
- Srinivasa Ramanujan
- Source text
- Ramanujan's notebooks
- Region
- Pan-Indian / unspecified
- Discipline
- Mathematics & Computer Science
- Evidence
- Documented
- Confidence
- High
- Verification
- Reference-cited
Meanwhile in the West
Developed with G. H. Hardy at Cambridge.
Fair to say
A largely self-taught genius; his collaboration with Hardy was genuine partnership, not appropriation.
Path to modern innovation
Mock theta functions now appear in string theory and black-hole physics.
Transmission
His notebooks are still being mined for new mathematics.
Primary sources
References
- 1Hardy, 'Ramanujan'
- 2Ramanujan's notebooks
Further reading
Corrections and additional sources: edit IND-135 on GitHub.
2000
2000