Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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MEAN VALUES OF DERIVATIVES OF L-FUNCTIONS IN EVEN CHARACTERISTIC

  • Bae, Sunghan (Department of Mathematics KAIST) ;
  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • Received : 2021.04.22
  • Accepted : 2021.11.08
  • Published : 2022.03.31
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Abstract

For any positive integer 𝜇, we compute the mean value of the 𝜇-th derivative of quadratic Dirichlet L-functions over the rational function field 𝔽q(t), where q is a power of 2.

Keywords

Acknowledgement

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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