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On the number of representations of an integer as the sum of three r-free integers

Published online by Cambridge University Press:  24 October 2008

L. Mirsky
L. Mirsky
Affiliation:
Department of MathematicsUniversity of Sheffield
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Extract

Let r, s be two fixed integers greater than 1. A positive integer will be called r-free if it is not divisible by the rth power of any prime.

In a series of papers ((l)–(5)) Evelyn and Linfoot considered the problem of determining an asymptotic formula for the number Qr, s(n) of representations of a large positive integer n as the sum of s r-free integers; for s ≥ 4 their results were subsequently sharpened by Barham and Estermann(6).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 4 , October 1947 , pp. 433 - 441
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

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