### 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) |
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Pages (from-to) | 135-144 |

Number of pages | 10 |

Journal | Journal of Number Theory |

Volume | 38 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1991 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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## Cite this

Almkvist, G., & Andrews, G. E. (1991). A Hardy-Ramanujan formula for restricted partitions.

*Journal of Number Theory*,*38*(2), 135-144. https://doi.org/10.1016/0022-314X(91)90079-Q