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XXIII.—Representations of a Number as the Sum of a Large Number of Squares*

Published online by Cambridge University Press:  14 February 2012

R. A Rankin
R. A Rankin
Affiliation:
Department of Mathematics, University of Glasgow.
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Synopsis

An asymptotic formula is given for the number r(s, P; N) of representations of an integer N as the sum of s non-negative squares, where each square does not exceed P2. The numbers s, P and N are large and are subject to certain conditions, one of which is that N is approximately ⅓sP2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 65 , Issue 4 , 1961 , pp. 318 - 331
Copyright
Copyright © Royal Society of Edinburgh 1961

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References

REFERENCES TO LITERATURE

Nagell, T., 1951. Introduction to Number Theory. Uppsala.Google Scholar
van Winjgaarden, A., and Scheen, W. L., 1949. Table of Fresnel Integrals. Amsterdam.Google Scholar