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arXiv · 1410.8404

Gaps between fractional parts, and additive combinatorics

Antal Balog·Andrew Granville·Jozsef Solymosi
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Abstract

We give bounds on the number of distinct differences $N_a-a$ as $a$ varies over all elements of a given finite set $A$, and $N_a$ is a nearest neighbour to $a$.

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Antal Balog, Andrew Granville, Jozsef Solymosi. 2014-10-30. Gaps between fractional parts, and additive combinatorics. https://arxiv.org/abs/1410.8404

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