Some remarks on sets with small quotient set
classification
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math.NT
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casefinitenumbersparticularprovequotientrealremarks
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We prove, in particular, that for any finite set of real numbers A with |A/A| \ll |A| one has |A-A| > |A|^{5/3 - o(1)}. Also we show that |3A| > |A|^{2-o(1)} in the case.
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