On Bombieri's asymptotic sieve
| dc.creator | Ford, Kevin | |
| dc.date | 2004-01-18 | |
| dc.date.accessioned | 2026-07-07T05:04:37Z | |
| dc.date.available | 2026-07-07T05:04:37Z | |
| dc.description | If a sequence $(a_n)$ of non-negative real numbers has ``best possible'' distribution in arithmetic progressions, Bombieri showed that one can deduce an asymptotic formula for the sum $\sum_{n\le x} a_n Λ_k(n)$ for $k\ge 2$. By constructing appropriate sequences, we show that any weakening of the well-distribution property is not sufficient to deduce the same conclusion. | |
| dc.description | 13 pages. To appear in Trans. Amer. Math. Soc. http://www.math.uiuc.edu/~ford/ | |
| dc.identifier | https://arxiv.org/abs/math/0401215 | |
| dc.identifier | http://arxiv.org/abs/math/0401215 | |
| dc.identifier | Trans. Amer. Math. Soc. 357 (2005), 1663-1674. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69879 | |
| dc.subject | Number Theory | |
| dc.subject | 11N35 | |
| dc.title | On Bombieri's asymptotic sieve | |
| dc.type | text |