Subconvexity bound for GL(2) L-functions: \lowercaset-aspect

2018/05/13 by Ratnadeep Acharya, Sumit Kumar, Acharya, Ratnadeep +5
Mathematics · #11M41 #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary 11F66 #Secondary 11F55

paper · pdf · doi:10.48550/arxiv.1805.04892

openalex publication_date 2018/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a holomorphic Hecke eigenform or a Hecke-Maass cusp form for the full modular group SL(2, ℤ). In this paper we shall use circle method to prove the Weyl exponent for GL(2) L-functions. We shall prove that L ( (1)/(2) + it, f ) ≪_{f, ε} ( 2 + |t|)^{1/3 + ε}, for any ε> 0.

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