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Sums of squares of linear forms

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


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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

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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,