GL(2) Weyl bound via a multiplicative character delta method Academic Article

abstract

• We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in the [Formula: see text]-aspect for a holomorphic or HeckeMaass cusp form of arbitrary level and nebentypus. This parallels the work of Aggarwal [2] in 2018, with the difference being the multiplicative character has a more natural connection to the twisted [Formula: see text]-function. This provides another viewpoint to understand and explore the trivial and other delta methods.

authors

• Leung, Wing Hong

published proceedings

• INTERNATIONAL JOURNAL OF NUMBER THEORY

author list (cited authors)

• Leung, W. H.

citation count

• 0

complete list of authors

• Leung, Wing Hong

publication date

• February 2023

publisher

• World Scientific Publishing  Publisher

published in

• International Journal of Number Theory  Journal

keywords

• Delta Method
• L-function
• Subconvexity

Digital Object Identifier (DOI)

• 10.1142/S179304212450012X

start page

• 241

end page

• 266

volume

• 20

issue

• 01

URL

• http://dx.doi.org/10.1142/s179304212450012x