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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
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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