Work

Estimates for Smooth Weyl Sums on Major Arcs

Year: 2024

Type: article

Abstract: We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy–Littlewood method. In particular, we derive mean value estimates on major arcs for smooth Weyl sums of degree $k$ delivering essentially optimal bounds for moments of order $u$ whenever $u>2\lfloor k/2\rfloor +4$.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae252

Authors: Jörg Brüdern, Trevor D Wooley

Institutions: University of Göttingen, Purdue University West Lafayette

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404725499

FWCI: 1.112

Cites: 18

Cited by: 1

Related to: 10