2 papers
math.NT2026
An Infinite Family of Primitive Heron Triangles with Two Sides as Perfect Squares
Yangcheng Li
A primitive Heron triangle is a triangle with integral sides and integral area where the greatest common divisor of the lengths of its sides is . By utilizing the theory of elli…
math.NT2025
A new perspective of arithmetic billiards
Yangcheng Li
We study the problem of arithmetic billiards from a new perspective. We first raise a similar problem about reflecting lights inside grids. For the solution to this problem, we wil…