충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권1호
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  • Pages.1-12
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  • 2022
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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RUDNICK AND SOUNDARARAJAN'S THEOREM FOR FUNCTION FIELDS IN EVEN CHARACTERISTIC

  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • 투고 : 2021.10.13
  • 심사 : 2021.11.30
  • 발행 : 2022.02.15
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초록

In this paper we prove an even characteristic analogue of the result of Andrade on lower bounds for moment of quadratic Dirichlet L-functions in odd characteristic. We establish lower bounds for the moments of Dirichlet L-functions of characters defined by Hasse symbols in even characteristic.

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과제정보

This work was financially supported by the Research Year of Chungbuk National University in 2021.

참고문헌

  1. J. Andrade, Rudnick and Soundararajan's theorem for function fields, Finite Fields Appl., 37 (2016), 311-327. https://doi.org/10.1016/j.ffa.2015.10.007
  2. S. Bae and H. Jung, Average values of L-functions in even characteristic, J. Number Theory, 186 (2018), 269-303. https://doi.org/10.1016/j.jnt.2017.10.006
  3. Z. Rudnick and K. Soundararajan, Lower bounds for moments of L-functions, Proc. Natl. Acad. Sci., 102 (2005), 6837-6838. https://doi.org/10.1073/pnas.0501723102
  4. Z. Rudnick and K. Soundararajan, Lower bounds for moments of L-functions: symplectic and orthogonal examples, Proc. Sympos. Pure Math., 75 (2006), 293-303. https://doi.org/10.1090/pspum/075/2279944