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

Jiae Eom; Gyeonga Jeong; Jaebum Sohn

doi:10.4134/BKMS.b151039

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

Jiae Eom, Gyeonga Jeong, Jaebum Sohn

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We consider a natural generalization of h₂(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
Pages (from-to)	1857-1868
Number of pages	12
Journal	Bulletin of the Korean Mathematical Society
Volume	53
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.b151039
Publication status	Published - 2016

Bibliographical note

Funding Information:
Third author’s research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (2011-0011257).

Publisher Copyright:
© 2016 Korean Mathematical Society.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4134/BKMS.b151039

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author = "Jiae Eom and Gyeonga Jeong and Jaebum Sohn",

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AU - Jeong, Gyeonga

AU - Sohn, Jaebum

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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).

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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