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On sums of three squares

S. K. K. Choi·A. V. Kumchev·R. Osburn
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Abstract

Let $r_3(n)$ be the number of representations of a positive integer $n$ as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of $r_3(n)$.

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S. K. K. Choi, A. V. Kumchev, R. Osburn. 2005-03-16. On sums of three squares. https://arxiv.org/abs/math/0502007

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