An upper bound on the multiplicative energy
classification
🧮 math.CO
keywords
boundenergymultiplicativeupperboundsearlierepsilonfinite
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We prove that the sumset or the productset of any finite set of real numbers, $A,$ is at least $|A|^{4/3-\epsilon},$ improving earlier bounds. Our main tool is a new upper bound on the multiplicative energy, $E(A,A).$
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