论文标题
覆盖定理的多项式板的扩展
Extensions of polynomial plank covering theorems
论文作者
论文摘要
我们证明了一个复杂的多项式木板,覆盖定理的不一定是均匀的多项式。由于这个结果的结果,我们将Ball的复杂木板定理扩展到不一定是中央对称且不一定圆形的木板情况。我们还证明了球形多项式木板的较弱版本,该木板涵盖了不同宽度的木板的猜想。
We prove a complex polynomial plank covering theorem for not necessarily homogeneous polynomials. As the consequence of this result, we extend the complex plank theorem of Ball to the case of planks that are not necessarily centrally symmetric and not necessarily round. We also prove a weaker version of the spherical polynomial plank covering conjecture for planks of different widths.