A zero-density estimate for the symmetric square $L$-functions in the weight aspect

In this paper, we prove a zero-density estimate for the symmetric square $L$-functions associated with Hecke eigencuspforms in the weight aspect. The proofs are based on the mollified second moment of these $L$-functions.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.37371
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

A zero-density estimate for the symmetric square $L$-functions in the weight aspect

Songchen Yin
arXiv (Cornell University)
Analytic Number Theory Research
preprint

A zero-density estimate for the symmetric square $L$-functions in the weight aspect

Songchen Yin
preprint en

Abstract

In this paper, we prove a zero-density estimate for the symmetric square $L$-functions associated with Hecke eigencuspforms in the weight aspect. The proofs are based on the mollified second moment of these $L$-functions.

arXiv (Cornell University)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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A zero-density estimate for the symmetric square $L$-functions in the weight aspect — Songchen Yin · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS