Bull. Korean Math. Soc. 2022; 59(2): 431-452
Online first article March 31, 2022 Printed March 31, 2022
https://doi.org/10.4134/BKMS.b210330
Copyright © The Korean Mathematical Society.
Sunghan Bae, Hwanyup Jung
KAIST; Chungbuk National University
For any positive integer $\mu$, we compute the mean value of the $\mu$-th derivative of quadratic Dirichlet $L$-functions over the rational function field $\mathbb{F}_{q}(t)$, where $q$ is a power of $2$.
Keywords: Function fields, even characteristic, derivatives of $L$-functions, moments of $L$-functions, quadratic Dirichlet $L$-functions
MSC numbers: 11M38, 11M06, 11G20, 11M50
Supported by: The second author was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2020R1F1A1A01066105).
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