论文标题
在对称组的角色表中的偶数条目上
On even entries in the character table of the symmetric group
论文作者
论文摘要
我们表明,$ s_n $的字符表中的几乎每个条目甚至是$ n \ to \ infty $。这解决了米勒的猜想。同样,我们证明,$ s_n $的字符表中的几乎每个条目为零modulo $ 3,5,7,11,$和$ 13 $ as $ n \ to \ infty $,部分地解决了Miller的另一个猜想。
We show that almost every entry in the character table of $S_n$ is even as $n\to\infty$. This resolves a conjecture of Miller. We similarly prove that almost every entry in the character table of $S_n$ is zero modulo $3,5,7,11,$ and $13$ as $n\to\infty$, partially addressing another conjecture of Miller.