Sums of squares of linear forms
โ Scribed by R. Baeza; D. Leep; M. O'Ryan; J. P. Prieto
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- French
- Weight
- 480 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We develop some of the theory of automorphic forms in the function field setting. As an application, we find formulas for the number of ways a polynomial over a finite field can be written as a sum of k squares, k 2. As a consequence, we show every polynomial can be written as a sum of 4 squares. We
The topic of investigation is cubic forms F over Z in n variables that are representable as a sum L 3 1 +L 3 2 of two cubes of linear forms with algebraic coefficients. If Z 2 (n, X ) denotes the number of such forms F, the main result, stated as Theorem 1.3, gives its order of magnitude as Z 2 (n,