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- W1617043863 abstract "Let $mathbb{F}_p$ be the field of residue classes modulo a prime number $p$ and let $A$ be a non-empty subset of $mathbb{F}_p.$ In this paper we give an explicit version of the sum-product estimate of Bourgain, Katz, Tao and Bourgain, Glibichuk, Konyagin on the size of $max{|A+A|, |AA|}.$ In particular, our result implies that if $1<|A|le p^{7/13}(log p)^{-4/13},$ then $$ max{|A+A|, |AA|}gg frac{|A|^{15/14}}{(log|A|)^{2/7}} . $$" @default.
- W1617043863 created "2016-06-24" @default.
- W1617043863 creator A5052099880 @default.
- W1617043863 date "2007-02-26" @default.
- W1617043863 modified "2023-09-27" @default.
- W1617043863 title "An explicit sum-product estimate in $mathbb{F}_p$" @default.
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