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Many Zeros of Many Characters of GL(n,q)
International Mathematics Research Notices ( IF 0.9 ) Pub Date : 2020-07-10 , DOI: 10.1093/imrn/rnaa160 Patrick X Gallagher 1 , Michael J Larsen 2 , Alexander R Miller 3
International Mathematics Research Notices ( IF 0.9 ) Pub Date : 2020-07-10 , DOI: 10.1093/imrn/rnaa160 Patrick X Gallagher 1 , Michael J Larsen 2 , Alexander R Miller 3
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For $G={\rm GL}(n,q)$, the proportion $P_{n,q}$ of pairs $(\chi,g)$ in ${\rm Irr}(G)\times G$ with $\chi(g)\neq 0$ satisfies $P_{n,q}\to 0$ as $n\to\infty$.
中文翻译：
GL(n,q) 的多字符多零
对于$G={\rm GL}(n,q)$，${\rm Irr}(G)\times G$中$(\chi,g)$对的比例$P_{n,q}$用 $\chi(g)\neq 0$ 满足 $P_{n,q}\to 0$ 作为 $n\to\infty$。
更新日期：2020-07-10
中文翻译：
GL(n,q) 的多字符多零
对于$G={\rm GL}(n,q)$，${\rm Irr}(G)\times G$中$(\chi,g)$对的比例$P_{n,q}$用 $\chi(g)\neq 0$ 满足 $P_{n,q}\to 0$ 作为 $n\to\infty$。
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