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arxiv: 1405.1187 · v2 · pith:UABUM7GInew · submitted 2014-05-06 · 🧮 math.NT · math.CO

A note on product sets of rationals

classification 🧮 math.NT math.CO
keywords boundlowerproductsetsapproachbourgaindenominatordifferent
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Bourgain, Konyagin and Shparlinski obtained a lower bound for the size of the product set AB when A and B are sets of positive rational numbers with numerator and denominator less or equal than Q. We extend and slightly improve that lower bound using a different approach.

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