A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms

Qingfeng Sun; Hui Wang

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arXiv · 2412.02416

A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms

Qingfeng Sun·Hui Wang

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Abstract

In this paper, we establish an asymptotic formula for the twisted second moment of $L$-functions associated with Hecke--Maass cusp forms for $\rm SL(3,\mathbb{Z})$, and further deduce a weighted zero-density estimate for these $L$-functions in the spectral aspect which may have important applications in other problems.

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Qingfeng Sun, Hui Wang. 2024-12-03. A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms. https://arxiv.org/abs/2412.02416

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