Balog, A;
Granville, A;
Solymosi, J;
(2017)
Gaps between fractional parts, and additive combinatorics.
Quarterly Journal of Mathematics
, 68
(1)
pp. 1-11.
10.1093/qmath/hav012.
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Abstract
We give bounds on the number of distinct differences Na − a as a varies over all elements of a given finite set A, and Na is a nearest neighbour to a.
| Type: | Article |
|---|---|
| Title: | Gaps between fractional parts, and additive combinatorics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/qmath/hav012 |
| Publisher version: | https://doi.org/10.1093/qmath/hav012 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1556857 |
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