GL(2) Weyl Bound via a multiplicative character delta method
Number Theory
2025-09-23 v3
Abstract
We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in -aspect for a holomorphic or Hecke-Maass cusp form of arbitrary level and nebentypus. This parallels the work of Aggarwal in 2018, with the difference being multiplicative character has a more natural connection to the twisted -function. This provides another view point to understand and explore the trivial and other delta methods.
Cite
@article{arxiv.2102.05577,
title = {GL(2) Weyl Bound via a multiplicative character delta method},
author = {Wing Hong Leung},
journal= {arXiv preprint arXiv:2102.05577},
year = {2025}
}
Comments
v3: 20 pages. Fixed minor typos and grammatical errors