Heron triangles with two perfect-square sides are completely parametrized via an elliptic curve, producing infinitely many primitive examples, while all-three-squares cases reduce to rational points on genus-3 curves suggesting finiteness.
Sierpi´ nski, Sur les nombres triangulaires carr´ es,Bull
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence Condition
Heron triangles with two perfect-square sides are completely parametrized via an elliptic curve, producing infinitely many primitive examples, while all-three-squares cases reduce to rational points on genus-3 curves suggesting finiteness.