Quasirandom Arithmetic Permutations
| dc.creator | Cooper, Joshua N. | |
| dc.date | 2003-10-24 | |
| dc.date | 2006-02-28 | |
| dc.date.accessioned | 2026-07-07T06:35:46Z | |
| dc.date.available | 2026-07-07T06:35:46Z | |
| dc.description | Previously, the author introduced quasirandom permutations, permutations of $\mathbb{Z}_n$ which map intervals to sets with low discrepancy. Here we show that several natural number-theoretic permutations are quasirandom, some very strongly so. Quasirandomness is established via discrete Fourier analysis and the Erdos-Turan inequality, as well as by other means. We apply our results on Sos permutations to make progress on a number of questions relating to the sequence of fractional parts of multiples of an irrational. Several intriguing new open problems are presented throughout the discussion. | |
| dc.description | 19 pages, 0 figures; title change and minor modifications; final version appeared in JNT | |
| dc.identifier | https://arxiv.org/abs/math/0310384 | |
| dc.identifier | http://arxiv.org/abs/math/0310384 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99896 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11K45; 11K38; 11L07 | |
| dc.title | Quasirandom Arithmetic Permutations | |
| dc.type | text |