• 제목/요약/키워드: random Euler product

검색결과 1건 처리시간 0.017초

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

  • Sunghan Bae;Hwanyup Jung
    • 대한수학회보
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    • 제61권1호
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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).