Moment of Derivatives of Quadratic Twists of Modular $L$-Functions

Zijie Zhou

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arXiv · 2503.14680

Moment of Derivatives of Quadratic Twists of Modular $L$-Functions

Zijie Zhou

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Abstract

We prove an asymptotic for the moment of derivatives of quadratic twists of two distinct modular $L$-functions. This was previously known conditionally on GRH by the work of Ian Petrow.

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Zijie Zhou. 2025-03-18. Moment of Derivatives of Quadratic Twists of Modular $L$-Functions. https://arxiv.org/abs/2503.14680

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