首页|Lower Order Terms for Expected Value of Traces of Frobenius of a Family
of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities
Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities
Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities
We consider the expected value of $\mbox{Tr}(\Theta_C^n)$ where $C$ runs over a thin family of $r$-cyclic covers of $\mathbb{P}^1_{\mathbb{F}_q}$ for any $r$. We obtain many lower order terms dependent on the divisors of $r$. We use these results to calculate the one-level density of the family and hypothesize a refined one-level density result.
Patrick Meisner
数学
Patrick Meisner.Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities[EB/OL].(2020-06-30)[2025-05-27].https://arxiv.org/abs/2006.16886.点此复制
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