Hybrid subconvexity bounds for twisted L-functions on GL(3)

2016/05/31 by Huang, Bingrong
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1605.09487

Abstract

Let q be a large prime, and χ the quadratic character modulo q. Let ϕ be a self-dual Hecke--Maass cusp form for SL(3,ℤ), and u_j a Hecke--Maass cusp form for Γ₀(q)⊆ SL(2,ℤ) with spectral parameter t_j. We prove the hybrid subconvexity bounds for the twisted L-functions L(1/2,ϕ× u_j×χ)≪_ϕ,ε (qt_j)^3/2-θ+ε, L(1/2+it,ϕ×χ)≪_ϕ,ε (qt)^3/4-θ/2+ε, for any ε>0, where θ=1/23 is admissible.

Related

• Subconvexity for twisted L-functions on GL₃ over the Gaussian number field
• Hybrid subconvexity bounds for twists of \rm GL(3) L-functions
• Subconvexity for twisted GL(3) L-functions
• Hybrid bounds for twists of GL(3) L-functions
• Bounds for twists of \rm GL(3) L-functions