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Lagrange and the four-square theorem

✍ Scribed by Boucard, Jenny


Book ID
125391425
Publisher
Springer-Verlag
Year
2014
Weight
287 KB
Volume
2
Category
Article
ISSN
2281-6917

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A passage in Euler's notebook 132 (written between 1740 and 1744) concerning the foursquares theorem is interpreted in a new way. The proof of the four-squares theorem is based on three lemmas. Euler proved two of them from which he deduced the theorem on the representation as a sum of four squares