Weyl bound for \rm GL(2) in t-aspect via a trivial delta method

2018/10/24 by Aggarwal, Keshav
#11F66 #11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1810.10479

Abstract

We use a `trivial' delta method to prove the Weyl bound in t-aspect for the \rm L-function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In particular, this extends the results of Meurman and Jutila for the t-aspect Weyl bound, and the recent result of Booker, Milinovich and Ng to Hecke cusp forms of arbitrary level and nebentypus.

Related

• GL(2) Weyl Bound via a multiplicative character delta method
• t-Aspect Subconvexity Bound for GL(2) L-functions
• Uniform bounds for \rm GL(3) × GL(2) L-functions
• t-aspect subconvexity for GL(2) L-functions
• Subconvexity bound for GL(2) L-functions: \lowercaset-aspect