Balog, Antal and Roche-Newton, O. and Zhelezov, D. (2017) Expanders with superquadratic growth. ELECTRONIC JOURNAL OF COMBINATORICS, 24 (3). P3.14. ISSN 1097-1440
|
Text
1611.05251v1.pdf Download (210kB) | Preview |
Abstract
We prove several expanders with exponent strictly greater than 2. For any finite set A ⊂ ℝ, we prove the following six-variable expander results: (Formula Presented).
| Item Type: | Article |
|---|---|
| Additional Information: | N1 Funding details: F5511-N26, FWF, Austrian Science Fund N1 Funding details: P 30405-N32, FWF, Austrian Science Fund N1 Funding text: Supported by the Hungarian National Science Foundation Grants NK104183 and K109789. † Supported by the Austrian Science Fund FWF Projects F5511-N26 and P 30405-N32. ‡ Supported by the Knuth and Alice Wallenberg postdoctoral fellowship. 1 From now on, A, B, C etc. will always be finite sets. We are grateful to an anonymous referee for helpful comments, and particularly for highlighting an inaccuracy in an earlier version of the proof of Theorem 1.2. © 2017, Australian National University. All rights reserved. |
| Uncontrolled Keywords: | Sum-product estimates; EXPANDERS; Discrete geometry |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Oct 2017 08:54 |
| Last Modified: | 14 Oct 2017 08:54 |
| URI: | http://real.mtak.hu/id/eprint/65653 |
Actions (login required)
 |
Edit Item |
