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On a Diophantine Problem

Published online by Cambridge University Press:  20 November 2018

J. B. Roberts
J. B. Roberts*
Affiliation:
Wesley an University Middletown, Conn.
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If a1, a2, … , ak are relatively prime positive integers then the equation

always has solutions in non-negative xi for n sufficiently large. Sylvester called the number of non-negative solutions of (1) the denumerant of the equation. We shall denote the denumerant by n(a1, … , ak).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 219 - 222
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Bachmann, P., Niedere Zahlentheorie, 2 (Leipzig, 1910).Google Scholar
2. Brauer, A., On a problem in partitions, Amer. J. Math., 64 (1942), 299–312.Google Scholar
3. Brauer, A. and Seelbinder, B. M., On a problem in partitions II, Amer. J. Math., 76 (1954), 343–346.Google Scholar
4. Roberts, J. B., Note on linear forms, Froc. Amer. Math. Soc, 7 (1956), 465–469.Google Scholar