The Zero Density Theorem for the Rankin-Selberg L-function and its applications

2022/09/07 by Zhining Wei, Wei, Zhining
Mathematics · #11F30 #11F66 #11F67 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2209.03462

openalex publication_date 2022/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we establish a zero density result for the Rankin-Selberg L-functions. As an application, we apply it to distinguish the holomorphic Hecke eigenforms for SL₂(ℤ).

Related

• Low lying zeros of Rankin-Selberg L-functions
• Subconvexity for the Rankin-Selberg L-function in both levels
• Real zeros and size of Rankin-Selberg L-functions in the level aspect
• Zero-density estimates for L-functions attached to cusp forms
• A standard zero free region for Rankin-Selberg L-functions