On product sets of rationals (Q2810684)
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scientific article; zbMATH DE number 6589286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On product sets of rationals |
scientific article; zbMATH DE number 6589286 |
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On product sets of rationals (English)
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3 June 2016
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product sets
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divisor function
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Farey fractions
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0.9869421
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0.8946192
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0.88819355
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\textit{J. Bourgain} et al. [Int. Math. Res. Not. 2008, Article ID rnn090, 29 p. (2008; Zbl 1232.11003)] obtained a lower bound for the size of the product set \(AB\) when \(A\) and \(B\) are sets of positive rational numbers with the numerator and denominator less than or equal to \(Q\). In this paper, the author extends and slightly improves that lower bound using a different approach.
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