Level aspect subconvexity for twisted L-functions

JOURNAL OF NUMBER THEORY

卷:203

Article

Hou, Fei¹  Chen, Bin² 

[1] Xian Univ Technol, Sch Sci, Xian 710054, Shaanxi, Peoples R China

[2] Weinan Normal Univ, Coll Math & Phys, Weinan 714099, Peoples R China

关键词: Automorphic forms;    Rankin-Selberg convolution;    Subconvexity;    Large sieve inequality;   

DOI  :  10.1016/j.jnt.2019.03.005

来源: Elsevier

【 摘 要 】

Let M be a square-free integer and P be a prime such that (M, P) = 1. We prove a new level aspect hybrid subconvexity bound for L(1/2, f circle times x) where f is a primitive (either holomorphic or Maass) cusp form of level P and chi a primitive Dirichlet character modulo M satisfying P similar to M-eta with 0 < eta < 3/2 - 3 theta, where theta is the current known approximation towards the Ramanujan-Petersson conjecture. Particularly we obtain a stronger subconvexity for max{6 theta, 1/2} < eta < (3-6 theta)/2 which has not been covered by the work of Blomer-Harcos [3]. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free