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
Date:2015
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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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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Summary: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.