Hybrid Subconvexity Bound for L((1)/(2),Sym² f⊗ρ) via the Delta Method

2021/03/20 by Leung, Wing Hong
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2103.11252

Abstract

Let P be a prime and k be an even integer. Let f be a full level holomorphic cusp form of weight k and ρ be a primitive level P holomorphic cusp form with arbitrary nebentypus and fixed weight κ. We prove a hybrid subconvexity bound for L((1)/(2),Sym² f⊗ ρ) when P^(1)/(4)+η

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