### Abstract

We study (FORMULA PRESENT) q_{d}(n)number of partitions of n into parts differing by at least d, and Q_{d}(n) is the number of partitions of n into parts congruent to 1 or d + 2 (mod d + 3). We prove that (FORMULA PRESENT) with n for (FORMULA PRESENT) for all n if (FORMULA PRESENT).

Original language | English (US) |
---|---|

Pages (from-to) | 279-284 |

Number of pages | 6 |

Journal | Pacific Journal of Mathematics |

Volume | 36 |

Issue number | 2 |

DOIs | |

State | Published - Feb 1971 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

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*Pacific Journal of Mathematics*, vol. 36, no. 2, pp. 279-284. https://doi.org/10.2140/pjm.1971.36.279

**On a partition problem of H. L. alder.** / Andrews, George E.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On a partition problem of H. L. alder

AU - Andrews, George E.

PY - 1971/2

Y1 - 1971/2

N2 - We study (FORMULA PRESENT) qd(n)number of partitions of n into parts differing by at least d, and Qd(n) is the number of partitions of n into parts congruent to 1 or d + 2 (mod d + 3). We prove that (FORMULA PRESENT) with n for (FORMULA PRESENT) for all n if (FORMULA PRESENT).

AB - We study (FORMULA PRESENT) qd(n)number of partitions of n into parts differing by at least d, and Qd(n) is the number of partitions of n into parts congruent to 1 or d + 2 (mod d + 3). We prove that (FORMULA PRESENT) with n for (FORMULA PRESENT) for all n if (FORMULA PRESENT).

UR - http://www.scopus.com/inward/record.url?scp=84972572218&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972572218&partnerID=8YFLogxK

U2 - 10.2140/pjm.1971.36.279

DO - 10.2140/pjm.1971.36.279

M3 - Article

AN - SCOPUS:84972572218

VL - 36

SP - 279

EP - 284

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -