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Note on the representation of integers as sums of certain powers

Published online by Cambridge University Press:  24 October 2008

K. Thanigasalam
K. Thanigasalam
Affiliation:
Penn State University, University Park, Pa
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Extract

In the paper entitled ‘Asymptotic formula in a generalized Waring's problem’, I established an asymptotic formula for the number of representations of a large natural number N in the form

where x1, x2, …, x7 and k are natural numbers with k ≥ 4 (see (2) Theorem 2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 2 , March 1969 , pp. 445 - 446
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Davenport, H. and Heilbronn, H.On Waring's problem: Two cubes and one square. Proc. London Math. Soc. (2), 43 (1937), 73–104.Google Scholar
(2)Thanigasalam, K.Asymptotic formula in a generalized Waring's problem. Proc. Cambridge Philos. Soc. 63 (1967), 87–98.CrossRefGoogle Scholar