关于对称群的character表中的偶数项
On even entries in the character table of the symmetric group
摘要:
我们证明了在$S_n$的特征表中几乎每个条目都是偶数的$n\to\infty$。这解决了米勒的一个猜想。我们同样证明了几乎每一个条目中的字符表的$S_n$是零模$3,5,7,11,$和$13$作为$n\to\infty$,部分解决另一个猜想米勒。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。