On the integers of the form $p^2+b^2+2^n$ and $b_1^2+b_2^2+2^{n^2}$
| dc.creator | Pan, Hao | |
| dc.creator | Zhang, Wei | |
| dc.date | 2008-12-06 | |
| dc.date | 2009-05-24 | |
| dc.date.accessioned | 2026-07-07T13:17:18Z | |
| dc.date.available | 2026-07-07T13:17:18Z | |
| dc.description | We prove that the sumset {p^2+b^2+2^n: p is prime and b,n\in N} has positive lower density. We also construct a residue class with odd modulo, which contains no integer of the form p^2+b^2+2^n. And similar results are established for the sumset {b_1^2+b_2^2+2^{n^2}: b_1,b_2,n\in N}. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1259 | |
| dc.identifier | http://arxiv.org/abs/0812.1259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231068 | |
| dc.subject | Number Theory | |
| dc.subject | 11P32; 11A07; 11B05; 11B25; 11N36 | |
| dc.title | On the integers of the form $p^2+b^2+2^n$ and $b_1^2+b_2^2+2^{n^2}$ | |
| dc.type | text |