Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-22T05:34:12.994Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Multiplicity of Representations of Numbers by Sums

Published online by Cambridge University Press:  20 November 2018

L. Moser
L. Moser*
Affiliation:
University of Alberta, Research supported by the American National Science Foundation
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let A: {a1, ≤ a2, ≤ ߪ ≤ at} be a set of non-negative integers not exceeding n, and let rn(A;m) = rr(m) denote the numbers of representations of m as the sum of k a's, order taken into account, i. e.

1

Since 0 ≤ ai1 + ai2 + … + aik ≤ kn, we have

2

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 2 , May 1963 , pp. 163 - 166
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Moser, L., On the representation of 1, 2, …, n by sums, Acta Arithmetica 6(1960) pp. 11-13.Google Scholar