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arXiv:2412.02416 [math.NT]AbstractReferencesReviewsResources

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

Qingfeng Sun, Hui Wang

Published 2024-12-03Version 1

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.

Comments: 33 pages. Comments welcome! arXiv admin note: text overlap with arXiv:1704.00314 by other authors
Categories: math.NT
Subjects: 11F12, 11F66, 11F67, 11F72
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