论文标题

具有理性乘数的单政治多项式图

Unicritical polynomial maps with rational multipliers

论文作者

Huguin, Valentin

论文摘要

在本文中,我们证明,只有合理乘数的每个单一政治多项式图是功率图或Chebyshev地图。这提供了一些证据,以支持米尔诺(Milnor)关于乘数都是整数的理性地图的猜想。

In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.

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