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Algebra and Discrete Mathematics, 2015, Volume 19, Issue 1, Pages 67–76 (Mi adm508)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

On the $m$-ary partition numbers

Yasuyuki Kachia, Pavlos Tzermiasb

a Department of Mathematics, University of Kansas
b Department of Mathematics, University of Patras
Full-text PDF (308 kB) Citations (2)
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Abstract: 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.
Keywords: $m$-ary partition numbers, generating functions, Toeplitz-Hessenberg determinants.
Received: 02.09.2014
Revised: 24.12.2014
Bibliographic databases:
Document Type: Article
MSC: 05A17, 11P81
Language: English
Citation: Yasuyuki Kachi, Pavlos Tzermias, “On the $m$-ary partition numbers”, Algebra Discrete Math., 19:1 (2015), 67–76
Citation in format AMSBIB
\Bibitem{KacTze15}
\by Yasuyuki~Kachi, Pavlos~Tzermias
\paper On the $m$-ary partition numbers
\jour Algebra Discrete Math.
\yr 2015
\vol 19
\issue 1
\pages 67--76
\mathnet{http://mi.mathnet.ru/adm508}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3376341}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000209846200008}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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