On a symmetric congruence and its applications
| dc.creator | Garaev, M. Z. | |
| dc.creator | Karatsuba, A. A. | |
| dc.date | 2005-03-08 | |
| dc.date | 2005-03-16 | |
| dc.date.accessioned | 2026-07-07T05:17:48Z | |
| dc.date.available | 2026-07-07T05:17:48Z | |
| dc.description | For a large integer $m,$ we obtain an asymptotic formula for the number of solutions of a certain congruence modulo $m$ with four variables, where the variables belong to special sets of residue classes modulo $m.$ This formula are applied to obtain new information on the exceptional set of the multiplication table problem in a residue ring modulo $m$ and a new bound for a double trigonometric sum with an exponential function. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503164 | |
| dc.identifier | http://arxiv.org/abs/math/0503164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74437 | |
| dc.subject | Number Theory | |
| dc.subject | 11L07 | |
| dc.title | On a symmetric congruence and its applications | |
| dc.type | text |