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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…