A Slight Improvement to Garaev's Sum Product Estimate

Details A Slight Improvement to Garaev's Sum Product Estimate A Slight Improvement to Garaev's Sum Product Estimate

2007-03-20

arxiv.org/abs/math/0703614v1

Mathematics

Number Theory

6 pages

Scientific paper

We slightly improve Garaev's recent sum-product estimate largely by using
Plunneke's inequality a little more efficiently. We improve the exponent from
15/14 to 14/13.

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