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Quadratic residues and character sums over fields of square order

โœ Scribed by Stephen D Cohen


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
190 KB
Volume
18
Category
Article
ISSN
0022-314X

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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