Hardy and Ramanujan: the growth of integer partitions

What changed

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 joint 1918 partition asymptotics and associated complex-analytic method.

Evidence

Original sources and institutional historical accounts support the stated contribution. The reading boundary is recorded at each source; this assessment is not an independent scientific verification.

Contributors

• G. H. Hardy · SCIENCE: Named source contributor to this scoped work; individual labor shares are not measured.
• Srinivasa Ramanujan · SCIENCE: Named source contributor to this scoped work; individual labor shares are not measured.

• Hardy and Ramanujan, Asymptotic Formulae in Combinatory Analysis (1918), original-paper transcription
• London Mathematical Society: original joint paper identity

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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