An almost all result on $q_1 q_2 \equiv c \pmod q$
| dc.creator | Chan, Tsz Ho | |
| dc.date | 2008-12-08 | |
| dc.date.accessioned | 2026-07-07T12:10:16Z | |
| dc.date.available | 2026-07-07T12:10:16Z | |
| dc.description | In this paper we consider the congruence equation $q_1 q_2 \equiv c \pmod q$ with $a < q_1 \leq a + q^{1/2+ε}$ and $b < q_2 \leq b + q^{1/2+ε}$ and show that it has solution for almost all $a$ and $b$. Then we apply it to a question of Fujii and Kitaoka as well as generalize it to more variables. At the end, we will present a new way to attack the above congruence equation question through higher moments. | |
| dc.description | 12 pages, the author welcomes any ideas on the higher moment attack | |
| dc.identifier | https://arxiv.org/abs/0812.1526 | |
| dc.identifier | http://arxiv.org/abs/0812.1526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209889 | |
| dc.subject | Number Theory | |
| dc.title | An almost all result on $q_1 q_2 \equiv c \pmod q$ | |
| dc.type | text |