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Heron triangles with two fixed sides
- Source :
-
Journal of Number Theory . Sep2007, Vol. 126 Issue 1, p52-67. 16p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we study the function , 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 if p and q are primes, and that for a random choice of positive integers a and b. [Copyright &y& Elsevier]
- Subjects :
- *PLANE geometry
*TRIANGLES
*ALGEBRAIC number theory
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 126
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 25746261
- Full Text :
- https://doi.org/10.1016/j.jnt.2006.12.004