Arnold's Conjectures on Weak Asymptotics and Statistics of Numerical Semigroups S(d_1,d_2,d_3)
| dc.creator | Fel, Leonid G. | |
| dc.date | 2005-12-29 | |
| dc.date.accessioned | 2026-07-07T06:55:52Z | |
| dc.date.available | 2026-07-07T06:55:52Z | |
| dc.description | Three conjectures #1999--8, #1999--9 and #1999--10 which were posed by V. Arnold [2] and devoted to the statistics of the numerical semigroups are refuted for the case of semigroups generated by three positive integers d_1,d_2,d_3 with gcd(d_1,d_2,d_3)=1. Weak asymptotics of conductor C(d_1,d_2,d_3) of numerical semigroup and fraction p(d_1,d_2,d_3) of a segment [0;C(d_1,d_2,d_3)-1] occupied by semigroup are found. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512637 | |
| dc.identifier | http://arxiv.org/abs/math/0512637 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106426 | |
| dc.subject | Number Theory | |
| dc.subject | 11P21; 11N56 | |
| dc.title | Arnold's Conjectures on Weak Asymptotics and Statistics of Numerical Semigroups S(d_1,d_2,d_3) | |
| dc.type | text |