| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595327 | Journal of Number Theory | 2007 | 16 Pages |
Abstract
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., it has integral area. In particular, we prove that H(p,q)⩽5 if p and q are primes, and that H(a,b)=0 for a random choice of positive integers a and b.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
