Subconvexity for symmetric square L-functions

2017/09/17 by Ritabrata Munshi, Munshi, Ritabrata
Mathematics · #11F66 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1709.05615

openalex publication_date 2017/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a holomorphic modular form of prime level p and trivial nebentypus. We show that there exists a computable δ>0, such that L(\tfrac12,Sym² f)≪ p^\tfrac12-δ, with the implied constant depending only on δ and the weight of f.

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