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

Qingfeng Sun; Hui Wang

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

Number Theory 2024-12-04 v1

Authors: Qingfeng Sun , Hui Wang

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.

Keywords

l-functions

Cite

@article{arxiv.2412.02416,
  title  = {A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms},
  author = {Qingfeng Sun and Hui Wang},
  journal= {arXiv preprint arXiv:2412.02416},
  year   = {2024}
}

Comments

33 pages. Comments welcome! arXiv admin note: text overlap with arXiv:1704.00314 by other authors

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