Approximating reals by sums of rationals
| dc.creator | Chan, Tsz Ho | |
| dc.date | 2007-04-20 | |
| dc.date.accessioned | 2026-07-07T07:57:45Z | |
| dc.date.available | 2026-07-07T07:57:45Z | |
| dc.description | We consider the question of approximating any real number $α$ by sums of $n$ rational numbers $\frac{a_1}{q_1} + \frac{a_2}{q_2} + ... + \frac{a_n}{q_n}$ with denominators $1 \leq q_1, q_2, ..., q_n \leq N$. This leads to an inquiry on approximating a real number by rational numbers with a prescribed number of prime factors in the denominator. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2805 | |
| dc.identifier | http://arxiv.org/abs/0704.2805 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127762 | |
| dc.subject | Number Theory | |
| dc.subject | 11J04; 11L07 | |
| dc.title | Approximating reals by sums of rationals | |
| dc.type | text |