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The Four Square Theorem

✍ Scribed by Grace, J. H.


Book ID
120101044
Publisher
Oxford University Press
Year
1927
Tongue
English
Weight
182 KB
Volume
s1-2
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


On Euler's contributions to the four-squ
✍ Herbert Pieper πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 361 KB

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

An alternate proof of Cohn's four square
✍ Jesse Ira Deutsch πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 264 KB

While various techniques have been used to demonstrate the classical four squares theorem for the rational integers, the method of modular forms of two variables has been the standard way of dealing with sums of squares problems for integers in quadratic fields. The case of representations by sums o