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- W2108673786 abstract "Let ${Bbb F}_p$ be the field of residue classes modulo a prime number $p.$ In this paper we prove that if $A,Bsubset {Bbb F}_p^*,$ then for any fixed $varepsilon>0,$ $$ |A+A|+|AB|gg Bigl(minBigl{|B|,, {pover|A|}Bigr}Bigr)^{1/25-varepsilon}|A|. $$ This quantifies Bourgain's recent sum-product estimate." @default.
- W2108673786 created "2016-06-24" @default.
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- W2108673786 date "2008-04-18" @default.
- W2108673786 modified "2023-09-29" @default.
- W2108673786 title "A Quantified Version of Bourgain's Sum-Product Estimate in ${Bbb F}_p$ for Subsets of Incomparable Sizes" @default.
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- W2108673786 doi "https://doi.org/10.37236/782" @default.
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