142 citations · 181 across the 7 of their papers we have counts for
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math.NT2026
The Arithmetic Geometry of Square-Sided Heron Triangles
Yangcheng Li
We study rational Heron triangles with two marked square sides using elliptic curves and K3 surfaces. An explicit quartic-to-elliptic correspondence parametrizes marked similarity…
math.NT2023
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…
math.NT2023
On the Diophantine system involving pairs of triangles with the same area and the same perimeter
Yangcheng Li, Yong Zhang
Many authors studied the problem that rational triangle pairs (triangle-parallelogram pairs) with the same area and the same perimeter. They investigated this problem by solving th…