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

Keshav Aggarwal

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

Number Theory 2018-11-06 v2

Authors: Keshav Aggarwal

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.

Keywords

weyl bound t-aspect delta method l-function hecke-maass cusp form holomorphic cusp form nebentypus

Cite

@article{arxiv.1810.10479,
  title  = {Weyl bound for $\rm GL(2)$ in $t$-aspect via a trivial delta method},
  author = {Keshav Aggarwal},
  journal= {arXiv preprint arXiv:1810.10479},
  year   = {2018}
}

Comments

Minor typos corrected

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