Balog, Antal and Granville, A. and Solymosi, József (2017) Gaps between fractional parts, and additive combinatorics. QUARTERLY JOURNAL OF MATHEMATICS, 68 (1). pp. 1-12. ISSN 0033-5606
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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 ⊆ (ℝ/ℤ), d ≥ 1 and Na is a nearest neighbour to a.
| Item Type: | Article |
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| Additional Information: | N1 Funding details: NSERC, Natural Sciences and Engineering Research Council of Canada N1 Funding text: A.B. is partially supported by Hungarian National Research Grant K 109789, A.G. is partially supported by NSERC and J.S. is partially supported by ERC Advanced Research Grant No. 267165 (DISCONV), by Hungarian National Research Grant NK 104183 and by NSERC. © 2015. Published by Oxford University Press. All rights reserved. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Oct 2017 08:58 |
| Last Modified: | 14 Oct 2017 08:58 |
| URI: | http://real.mtak.hu/id/eprint/65655 |
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