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arXiv · 2608.25721

The Mixed Second Moment of Quadratic Dirichlet $L$-functions with Prime Conductors

J. Macmillan
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Abstract

We establish an asymptotic formula for the mixed second moment involving the second derivative of the completed $L$-function, when averaged over monic, irreducible polynomials in the function field setting.

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J. Macmillan. 2026-08-26. The Mixed Second Moment of Quadratic Dirichlet $L$-functions with Prime Conductors. https://arxiv.org/abs/2608.25721

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