The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions - B

2013/11/24 by Munshi, Ritabrata
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1311.6120

Abstract

Let π be a SL(3,\mathbb Z) Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let χ be a primitive Dirichlet character modulo M, which we assume to be prime for simplicity. We will prove the following subconvex bound L(\tfrac12,π⊗χ)≪_π,ε M^{(3)/(4)-(1)/(1612)+ε}.

Related

• Twists of GL(3) L-functions
• The circle method and bounds for L-functions - II: Subconvexity for twists of GL(3) L-functions
• Bounds for twists of \rm GL(3) L-functions
• Hybrid subconvexity bounds for twists of \rm GL(3) L-functions
• Subconvexity for twisted GL(3) L-functions