arXiv Analytics

Sign in

arXiv:1405.1187 [math.NT]AbstractReferencesReviewsResources

A note on product sets of rationals

Javier Cilleruelo

Published 2014-05-06, updated 2015-03-10Version 2

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 di?erent approach.

Related articles: Most relevant | Search more
arXiv:1101.5425 [math.NT] (Published 2011-01-28, updated 2011-03-14)
A Lower Bound for the Size of a Sum of Dilates
arXiv:1306.0248 [math.NT] (Published 2013-06-02)
Lower bound for the maximum of some derivative of Hardy's function
arXiv:0811.4769 [math.NT] (Published 2008-11-28, updated 2009-06-16)
Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions