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arXiv · 2609.13095

An asymptotic formula for a cubic moment of $GL_2$ $L$-functions

Catinca Mujdei
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Abstract

We obtain an asymptotic formula for a cubic moment of self-dual $GL_2$ $L$-functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consists of the main term conjectured by Conrey--Farmer--Keating--Rubinstein--Snaith and a power-saving error term whose strength depends on the amount of extra averaging.

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Catinca Mujdei. 2026-09-11. An asymptotic formula for a cubic moment of $GL_2$ $L$-functions. https://arxiv.org/abs/2609.13095

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