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On the m-ary partition numbers

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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Bibliographic Details
Main Authors: Kachi, Y., Tzermias, P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152788
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spelling irk-123456789-1527882019-06-13T01:25:35Z On the m-ary partition numbers Kachi, Y. Tzermias, P. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/152788 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Kachi, Y.
Tzermias, P.
spellingShingle Kachi, Y.
Tzermias, P.
On the m-ary partition numbers
Algebra and Discrete Mathematics
author_facet Kachi, Y.
Tzermias, P.
author_sort Kachi, Y.
title On the m-ary partition numbers
title_short 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_sort on the m-ary partition numbers
publisher Інститут прикладної математики і механіки НАН України
publishDate 2015
url http://dspace.nbuv.gov.ua/handle/123456789/152788
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.
series Algebra and Discrete Mathematics
work_keys_str_mv AT kachiy onthemarypartitionnumbers
AT tzermiasp onthemarypartitionnumbers
first_indexed 2023-05-20T17:38:26Z
last_indexed 2023-05-20T17:38:26Z
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