A Gauss sum estimate in arbitrary finite fields |
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Authors: | Jean Bourgain Mei-Chu Chang |
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Institution: | 1. Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA;2. Mathematics Department, University of California, Riverside, CA 92521, USA |
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Abstract: | We establish bounds on exponential sums where , p prime, and ψ an additive character on . They extend the earlier work of Bourgain, Glibichuk, and Konyagin to fields that are not of prime order . More precisely, a non-trivial estimate is obtained provided n satisfies for all , , where is arbitrary. To cite this article: J. Bourgain, M.-C. Chang, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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