Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF L(1, χu) IN EVEN CHARACTERISTIC

  • Sunghan Bae (Department of Mathematical Sciences KAIST) ;
  • Hwanyup Jung (Department of Mathematics Education Chungbuk National University)
  • Received : 2023.01.08
  • Accepted : 2023.09.08
  • Published : 2024.01.31
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Abstract

In this paper, we announce that the strategy of comparing the complex moments of L(1, χu) to that of a random Euler product L(1, 𝕏) is also valid in even characteristic case. We give an asymptotic formulas for the complex moments of L(1, χu) in a large uniform range. We also give Ω-results for the extreme values of L(1, χu).

Keywords

Acknowledgement

The second author was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2020R1F1A1A01066105).

References

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