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- W2106985368 abstract "The aim of this note is to record a proof that the estimate $$max{{|A+A|,|A:A|}}gg{|A|^{12/11}}$$ holds for any set $Asubset{mathbb{F}_q}$, provided that $A$ satisfies certain conditions which state that it is not too close to being a subfield. An analogous result was established in cite{LiORN}, with the product set $Acdot{A}$ in the place of the ratio set $A:A$. The sum-ratio estimate here beats the sum-product estimate in cite{LiORN} by a logarithmic factor, with slightly improved conditions for the set $A$, and the proof is arguably a little more intuitive. The sum-ratio estimate was mentioned in cite{LiORN}, but a proof was not given." @default.
- W2106985368 created "2016-06-24" @default.
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- W2106985368 date "2014-07-07" @default.
- W2106985368 modified "2023-09-27" @default.
- W2106985368 title "Sum-ratio estimates over arbitrary finite fields" @default.
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