论文标题
某些组合序列和多项式的非兴趣性的研究
A study of unimodality of some combinatorial sequences and polynomials
论文作者
论文摘要
在本文中，我们介绍了一项简短的，无尽的研究，对组合序列的重要和众所周知的特性 - 单模式。我们将在更详细地了解高斯多项式的非兴趣级的情况下，了解有关非兴趣和相关特性的经典结果的样本。我们将查看奥哈拉（O'Hara）的表明高斯多项式的单程证明。为了掌握获得高斯多项式（这仍然是一个悬而未决的问题）的注入性证明的挑战，我们进行了几次尝试并了解这些尝试失败的地方。
In this article, we present a short, non-exhaustive study of an important and well-known property of combinatorial sequences - unimodality. We shall have a look at a sample of classical results on unimodality and related properties, and then proceed to understand the unimodality of the Gaussian polynomial in more detail. We will look at an outline of O'Hara's proof of the unimodality of the Gaussian polynomial. In order to grasp the challenge of the problem of obtaining an injective proof of the unimodality of the Gaussian polynomial (which is still an open question), we make several attempts and understand where these attempts fail.
