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Congruence properties of the partition function and associated functions

Published online by Cambridge University Press:  24 October 2008

J. M. Rushforth
J. M. Rushforth
Affiliation:
The UniversityBirmingham
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Extract

The subject of this paper is the study of an unpublished manuscript by the late Srinivasa Ramanujan, the Indian mathematician. The manuscript covers forty-three pages of foolscap, and it is now in the possession of Prof. G. N. Watson. It is entitled

‘Properties of p(n) and τ(n) defined by the relations

and was sent to the late Prof. G. H. Hardy by Ramanujan a few months before the latter's death in 1920. The work in the manuscript is concerned with the congruence properties of p(n) and τ(n), and Hardy extracted from it (Ramanujan (16)) proofs of the theorems

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 3 , July 1952 , pp. 402 - 413
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

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