Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-29T18:18:51.093Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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