New demonstrations about the resolution of numbers into squares

Details New demonstrations about the resolution of numbers into squares New demonstrations about the resolution of numbers into squares

2008-05-31

arxiv.org/abs/0806.0104v1

Mathematics

History and Overview

19 pages

Scientific paper

Translated from the Latin original "Novae demonstrationes circa resolutionem numerorum in quadrata" (1774). E445 in the Enestrom index. See Chapter III, section XI of Weil's "Number theory: an approach through history". Also, a very clear proof of the four squares theorem based on Euler's is Theorem 370 in Hardy and Wright, "An introduction to the theory of numbers", fifth ed. It uses Theorem 87 in Hardy and Wright, but otherwise does not assume anything else from their book. I translated most of the paper and checked those details a few months ago, but only finished last few parts now. If anything isn't clear please email me.

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