Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896893 | Journal of Number Theory | 2018 | 37 Pages |
Abstract
For f a primitive holomorphic cusp form of even weight kâ¥4, level N, and Ï a Dirichlet character mod Q with (Q,N)=1, we establish the following subconvex hybrid bound for tâR,L(12+it,fÏ)âªQ38+θ4+ε(1+|t|)13â2θ+ε, where θ is the best bound toward the Ramanujan-Petersson conjecture at the infinite place. The implied constant only depends on f and ε. This is done via amplification and taking advantage of a shifted convolution sum of two variables as defined and analyzed in [9].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chan Ieong Kuan,