Approximating reals by sums of two rationals
| dc.creator | Chan, Tsz Ho | |
| dc.date | 2006-09-12 | |
| dc.date | 2007-04-20 | |
| dc.date.accessioned | 2026-07-07T07:57:25Z | |
| dc.date.available | 2026-07-07T07:57:25Z | |
| dc.description | We generalize Dirichlet's diophantine approximation theorem to approximating any real number $α$ by a sum of two rational numbers $\frac{a_1}{q_1} + \frac{a_2}{q_2}$ with denominators $1 \leq q_1, q_2 \leq N$. This turns out to be related to the congruence equation problem $x y \equiv c \pmod q$ with $1 \leq x, y \leq q^{1/2 + ε}$. | |
| dc.description | 13 pages, improved results and some changes in the proofs | |
| dc.identifier | https://arxiv.org/abs/math/0609322 | |
| dc.identifier | http://arxiv.org/abs/math/0609322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127644 | |
| dc.subject | Number Theory | |
| dc.subject | 11J04; 11A07; 11L40; 11L07 | |
| dc.title | Approximating reals by sums of two rationals | |
| dc.type | text |