On the m-ary partition numbers

We give explicit formulas and recurrences for the m-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers.

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Published in:Algebra and Discrete Mathematics
Date:2015
Main Authors: Kachi, Y., Tzermias, P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152788
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the m-ary partition numbers / Y. Kachi, P. Tzermias // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 67-76. — Бібліогр.: 39 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kachi, Y.
Tzermias, P.
author_facet Kachi, Y.
Tzermias, P.
citation_txt On the m-ary partition numbers / Y. Kachi, P. Tzermias // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 67-76. — Бібліогр.: 39 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We give explicit formulas and recurrences for the m-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers.
first_indexed 2025-12-07T16:26:43Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T16:26:43Z
publishDate 2015
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Kachi, Y.
Tzermias, P.
2019-06-12T20:54:41Z
2019-06-12T20:54:41Z
2015
On the m-ary partition numbers / Y. Kachi, P. Tzermias // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 67-76. — Бібліогр.: 39 назв. — англ.
1726-3255
2010 MSC:05A17, 11P81
https://nasplib.isofts.kiev.ua/handle/123456789/152788
We give explicit formulas and recurrences for the m-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On the m-ary partition numbers
Article
published earlier
spellingShingle On the m-ary partition numbers
Kachi, Y.
Tzermias, P.
title On the m-ary partition numbers
title_full On the m-ary partition numbers
title_fullStr On the m-ary partition numbers
title_full_unstemmed On the m-ary partition numbers
title_short On the m-ary partition numbers
title_sort on the m-ary partition numbers
url https://nasplib.isofts.kiev.ua/handle/123456789/152788
work_keys_str_mv AT kachiy onthemarypartitionnumbers
AT tzermiasp onthemarypartitionnumbers