Heron triangles with two fixed sides
| dc.creator | Ionascu, Eugen J. | |
| dc.creator | Luca, Florian | |
| dc.creator | Stanica, Pantelimon | |
| dc.date | 2006-08-07 | |
| dc.date.accessioned | 2026-07-07T07:21:30Z | |
| dc.date.available | 2026-07-07T07:21:30Z | |
| dc.description | In this paper, we study the function $H(a,b)$, which associates to every pair of positive integers $a$ and $b$ the number of positive integers $c$ such that the triangle of sides $a,b$ and $c$ is Heron, i.e., has integral area. In particular, we prove that $H(p,q)\le 5$ if $p$ and $q$ are primes, and that $H(a,b)=0$ for a random choice of positive integers $a$ and $b$. | |
| dc.description | 20 pges, no figures, submitted in 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0608185 | |
| dc.identifier | http://arxiv.org/abs/math/0608185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115322 | |
| dc.subject | Number Theory | |
| dc.subject | 11A41,11A51,11N05 | |
| dc.title | Heron triangles with two fixed sides | |
| dc.type | text |