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Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order |
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| Authors: | Bourgain, J. Glibichuk, A. A. Konyagin, S. V. |
| Affiliation: | School of Mathematics, Institute for Advanced Study Olden Lane, Princeton, NJ 08540, USA bourgain{at}math.ias.edu Department of Mechanics and Mathematics, Moscow State University Moscow, 119992, Russia aanatol{at}mail.ru Department of Mechanics and Mathematics, Moscow State University Moscow, 119992, Russia konyagin{at}ok.ru |
| Abstract: | Our first result is a sum-product theorem forsubsets A of the finite field Fp, p prime, providing a lowerbound on max (|A + A|, |A · A|). The second and mainresult provides new bounds on exponential sums |
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