论文标题
丹·雷兹尼克（Dan Reznik）的身份以及更多
Dan Reznik's identities and more
论文作者
论文摘要
Dan Reznik通过计算机实验发现，许多保守数量与椭圆中的周期性台球轨迹相关。我们使用台球球图的非标准生成功能证明了他的一些观察结果。这样，我们还获得了一些对所有平滑凸台表的有效的身份。
Dan Reznik found, by computer experimentation, a number of conserved quantities associated with periodic billiard trajectories in ellipses. We prove some of his observations using a non-standard generating function for the billiard ball map. In this way, we also obtain some identities valid for all smooth convex billiard tables.
