On sums of three squares

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We prove that a positive integer not of the form, 4^{k}(8m+7) can be expressible as a sum of three or fewer squares by using some results of Kane and Sun on mixed sums of squares and triangular numbers.

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Number Theory, Combinatorics, 05A17, 11D45, 11D85, 11E25, 11P83

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http://salesiana.dossiersoluciones.com/handle/123456789/209497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0540
 http://arxiv.org/abs/0812.0540

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arXiv