• Title/Summary/Keyword: random Euler product

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

  • Sunghan Bae;Hwanyup Jung
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.65-81
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    • 2024
  • 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).