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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
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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