### 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 | |

State | Published - Jan 1 1991 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

*Journal of Number Theory*,

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

}

*Journal of Number Theory*, vol. 38, no. 2, pp. 135-144. https://doi.org/10.1016/0022-314X(91)90079-Q

**A Hardy-Ramanujan formula for restricted partitions.** / Almkvist, Gert; Andrews, George E.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Hardy-Ramanujan formula for restricted partitions

AU - Almkvist, Gert

AU - Andrews, George E.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=44949277024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44949277024&partnerID=8YFLogxK

U2 - 10.1016/0022-314X(91)90079-Q

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

M3 - Article

VL - 38

SP - 135

EP - 144

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 2

ER -