The Four Square Theorem
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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