Yasuyuki Kachi, Pavlos Tzermias, “On the <nobr>$m$</nobr>-ary partition numbers”, Algebra Discrete Math., 2015, Volume 19, Issue 1,Pages <nobr>67

This article is cited in 2 papers

RESEARCH ARTICLE

On the $m$-ary partition numbers

Yasuyuki Kachi^a, Pavlos Tzermias^b

^a Department of Mathematics, University of Kansas
^b Department of Mathematics, University of Patras

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.

MSC: 05A17, 11P81

Received: 02.09.2014
Revised: 24.12.2014

Language: English