A strong "abc-conjecture" for certain partitions a+b of c
| dc.creator | Petridi, Constantin M. | |
| dc.date | 2005-11-09 | |
| dc.date | 2006-03-01 | |
| dc.date.accessioned | 2026-07-07T06:51:02Z | |
| dc.date.available | 2026-07-07T06:51:02Z | |
| dc.description | We prove that for any positive integer c and any s > 0 there are representations of c as a sum a+b of two coprime positive integers a, b, such that the respective radicals are all greater than K(s)R(c)^(1-s)c^2. For the reprasentations in question, this is a stronger result than the abc-conjecture, which postulates that these representations are greater than k(s)c^1/(1+s). | |
| dc.description | 14 pages The proof of Theorem 2 in the initial paper is erroneus. In the replacement paper, Theorems 3 and 4 give a correct proof. Misprints in proof of theorem 3 have being corrected, and certain clarifications added | |
| dc.identifier | https://arxiv.org/abs/math/0511224 | |
| dc.identifier | http://arxiv.org/abs/math/0511224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104851 | |
| dc.subject | Number Theory | |
| dc.title | A strong "abc-conjecture" for certain partitions a+b of c | |
| dc.type | text |