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Sums of squares in function fields of hyperelliptic curves

โœ Scribed by Karim Johannes Becher; Jan Van Geel


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
271 KB
Volume
261
Category
Article
ISSN
0025-5874

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Automorphic Forms and Sums of Squares ov
โœ Jeffrey Hoffstein; Kathy D. Merrill; Lynne H. Walling ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

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