The large sieve for $2^{[O(n^{15/14+o(1)})]}$ modulo primes
| dc.creator | Garaev, M. Z. | |
| dc.date | 2005-05-18 | |
| dc.date | 2005-09-01 | |
| dc.date.accessioned | 2026-07-07T05:20:02Z | |
| dc.date.available | 2026-07-07T05:20:02Z | |
| dc.description | Let $λ$ be a fixed integer, $λ\ge 2.$ Let $s_n$ be any strictly increasing sequence of positive integers satisfying $s_n\le n^{15/14+o(1)}.$ In this paper we give a version of the large sieve inequality for the sequence $λ^{s_n}.$ In particular, we prove that for $π(X)(1+o(1))$ primes $p, \ p\le X,$ the numbers $$ λ^{s_n},\quad n\le X(\log X)^{2+ε} $$ are uniformly distributed modulo $p.$ | |
| dc.description | 19 pages; in the new version we clean up some estimates and add several more consequences of the main result | |
| dc.identifier | https://arxiv.org/abs/math/0505396 | |
| dc.identifier | http://arxiv.org/abs/math/0505396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75240 | |
| dc.subject | Number Theory | |
| dc.subject | 11L07, 11N36 | |
| dc.title | The large sieve for $2^{[O(n^{15/14+o(1)})]}$ modulo primes | |
| dc.type | text |