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- W2018262945 abstract "Our first result is a ‘sum–product’ theorem for subsets A of the finite field Fp, p prime, providing a lower bound on max(|A+A|,|A·A|). As corollary, the second and main result provides new bounds on exponential sums associated to subgroups of the multiplicative group F∗p. To cite this article: J. Bourgain, S.V. Konyagin, C. R. Acad. Sci. Paris, Ser. I 337 (2003). Notre premier résultat est un théorème « sommes–produits » pour des sous-ensembles A d'un corps fini Fp, p un nombre premier, donnant une minoration du max(|A+A|,|A·A|). Comme corollaire et résultat principal, on en déduit de nouvelles bornes sur les sommes exponentielles associées à des sous-groupes du groupe multiplicatif F∗p. Pour citer cet article : J. Bourgain, S.V. Konyagin, C. R. Acad. Sci. Paris, Ser. I 337 (2003)." @default.
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- W2018262945 date "2003-07-01" @default.
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- W2018262945 title "Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order" @default.
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- W2018262945 doi "https://doi.org/10.1016/s1631-073x(03)00281-4" @default.
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