What is recorded here?
Used complex analysis and modular transformations to derive precise asymptotic estimates for the number of partitions of an integer, developing a route that became part of the circle method.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The leading asymptotic is not an exact finite-n equality or Rademacher's later convergent series. Hardy and Ramanujan share the paper's authorship; MacMahon's supplied numerical data is separate support. Only the introduction and stated results were inspected here, not every proof.
Read the original work
- Hardy and Ramanujan, Asymptotic Formulae in Combinatory Analysis (1918), original-paper transcription
- London Mathematical Society: original joint paper identity
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
G. H. Hardy; Srinivasa Ramanujan
Named authors of the scoped historical work; predecessor and supporting roles remain distinct. Not a lifetime merit assessment.
Research locations and affiliations
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Documented countries / regions: United Kingdom
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English catalogue narrative
Hardy and Ramanujan: the growth of integer partitions
Used complex analysis and modular transformations to derive precise asymptotic estimates for the number of partitions of an integer, developing a route that became part of the circle method.
Scientific scope
The leading asymptotic is not an exact finite-n equality or Rademacher's later convergent series. Hardy and Ramanujan share the paper's authorship; MacMahon's supplied numerical data is separate support. Only the introduction and stated results were inspected here, not every proof.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
G. H. Hardy; Srinivasa Ramanujan
Named authors of the scoped historical work; predecessor and supporting roles remain distinct. Not a lifetime merit assessment.