Finding Almost Squares III
| dc.creator | Chan, Tsz Ho | |
| dc.date | 2007-09-17 | |
| dc.date.accessioned | 2026-07-07T08:30:21Z | |
| dc.date.available | 2026-07-07T08:30:21Z | |
| dc.description | An almost square of type 2 is an integer $n$ that can be factored in two different ways as $n = a_1 b_1 = a_2 b_2$ with $a_1$, $a_2$, $b_1$, $b_2 \approx \sqrt{n}$. In this paper, we shall improve upon previous result on short intervals containing an almost square of type 2. This leads to an inquiry of finding a short interval around $x$ that contains an integer divisible by some integer in $[x^c, 2 x^c]$ with $0 < c < 1$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0709.2723 | |
| dc.identifier | http://arxiv.org/abs/0709.2723 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138218 | |
| dc.subject | Number Theory | |
| dc.subject | 11N25; 11L07 | |
| dc.title | Finding Almost Squares III | |
| dc.type | text |