A Hardy-Ramanujan formula for restricted partitions

Gert Almkvist; George E. Andrews

doi:10.1016/0022-314X(91)90079-Q

A Hardy-Ramanujan formula for restricted partitions

Gert Almkvist
, George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, we extend the Hardy-Ramanujan-Rademacher formula for p(n), the number of partitions of n. In particular we provide such formulas for p(j, n), the number of partitions of j into at most n parts and for A(j, n, r), the number of partitions of j into at most n parts each ≤r.

Original language	English (US)
Pages (from-to)	135-144
Number of pages	10
Journal	Journal of Number Theory
Volume	38
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(91)90079-Q
State	Published - Jun 1991

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-314X(91)90079-Q

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AB - In this paper, we extend the Hardy-Ramanujan-Rademacher formula for p(n), the number of partitions of n. In particular we provide such formulas for p(j, n), the number of partitions of j into at most n parts and for A(j, n, r), the number of partitions of j into at most n parts each ≤r.

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A Hardy-Ramanujan formula for restricted partitions

Abstract

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