Hybrid Level Aspect Subconvexity for GL(2)\× GL(1) Rankin-Selberg\n L-Functions

2016/05/18 by Keshav Aggarwal, Aggarwal, Keshav, Yeongseong Jo +3
Mathematics · #11F11 (Primary) #11F67 #11L05 (Secondary) #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.1605.05625

openalex publication_date 2016/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a squarefree positive integer and P a prime number coprime to\nM such that P\∼ M^\η with 0 < \η < 2/5. We simplify the proof of\nsubconvexity bounds for L(\(1)/(2),f\⊗\χ) when f is a primitive\nholomorphic cusp form of level P and \χ is a primitive Dirichlet\ncharacter modulo M. These bounds are attained through an unamplified second\nmoment method using a modified version of the delta method due to R. Munshi.\nThe technique is similar to that used by Duke-Friedlander-Iwaniec save for the\nmodification of the delta method.\n

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