Hybrid bounds for twists of GL(3) L-functions

2017/05/02 by Qingfeng Sun, Sun, Qingfeng
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1705.00804

openalex publication_date 2017/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let π be a Hecke-Maass cusp form for SL(3,ℤ) and χ=χ₁χ₂ a Dirichlet character with χ_i primitive modulo M_i. Suppose that M₁, M₂ are primes such that max\(M|t|)^1/3+2δ/3,M^2/5|t|^-9/20, M^1/2+2δ|t|^-3/4+2δ\(M|t|)^ε0, where M=M₁M₂, |t|≥ 1 and 0

Related

• Bounds for twists of \rm GL(3) L-functions
• A bound for twists of \rm GL₃× GL₂ L-functions with composite modulus
• Twists of GL(3) L-functions
• Hybrid subconvexity bounds for twists of \rm GL(3) L-functions
• Hybrid subconvexity bounds for twisted L-functions on GL(3)