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<p>We compute an asymptotic formula for the mixed second moment of the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>-th and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\nu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ν</mi> </math></EquationSource> </InlineEquation>-th derivatives of quadratic Dirichlet <i>L</i>-functions over monic, irreducible polynomials in the function field setting.</p>

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Moments of derivatives of quadratic Dirichlet L-functions with prime conductor

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月7日

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  • Christopher G. Best

摘要

We compute an asymptotic formula for the mixed second moment of the \(\mu \) μ -th and \(\nu \) ν -th derivatives of quadratic Dirichlet L-functions over monic, irreducible polynomials in the function field setting.