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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.37371

Author: Yin, Songchen

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Key Technology Research and Development Program of Shandong, National Key Research and Development Program of China

OpenAlex ID: W7224093688

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