### Abstract

We consider a natural generalization of h_{2}(n), denoted h_{m}(n), which is the number of partitions of n into parts which are power of m ≥ 2 wherein each power of m is allowed to be used as a part at most m times. In this note, we approach in three different ways using the recurrences, the matrix and the tree to calculate the value of h_{m}(n).

Original language | English |
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Pages (from-to) | 1857-1868 |

Number of pages | 12 |

Journal | Bulletin of the Korean Mathematical Society |

Volume | 53 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2016 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Bulletin of the Korean Mathematical Society*,

*53*(6), 1857-1868. https://doi.org/10.4134/BKMS.b151039

}

*Bulletin of the Korean Mathematical Society*, vol. 53, no. 6, pp. 1857-1868. https://doi.org/10.4134/BKMS.b151039

**Three different ways to obtain the values of hyper m-ary partition functions.** / Eom, Jiae; Jeong, Gyeonga; Sohn, Jaebum.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Three different ways to obtain the values of hyper m-ary partition functions

AU - Eom, Jiae

AU - Jeong, Gyeonga

AU - Sohn, Jaebum

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We consider a natural generalization of h2(n), denoted hm(n), which is the number of partitions of n into parts which are power of m ≥ 2 wherein each power of m is allowed to be used as a part at most m times. In this note, we approach in three different ways using the recurrences, the matrix and the tree to calculate the value of hm(n).

AB - We consider a natural generalization of h2(n), denoted hm(n), which is the number of partitions of n into parts which are power of m ≥ 2 wherein each power of m is allowed to be used as a part at most m times. In this note, we approach in three different ways using the recurrences, the matrix and the tree to calculate the value of hm(n).

UR - http://www.scopus.com/inward/record.url?scp=84996536362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84996536362&partnerID=8YFLogxK

U2 - 10.4134/BKMS.b151039

DO - 10.4134/BKMS.b151039

M3 - Article

VL - 53

SP - 1857

EP - 1868

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

IS - 6

ER -