Counting solutions to diagonal congruences and Diophantine inequalities

Date

2025

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

This dissertation will cover three results. Each result has a connection to Waring's problem and the circle method. Throughout, let p be prime, and let n, k and s be positive integers . . .

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Description

Keywords

Waring number, Diophantine inequalities, Hardy-Littlewood circle method, Function fields, Congruences, Davenport-Heilbronn method

Graduation Month

May

Degree

Doctor of Philosophy

Department

Department of Mathematics

Major Professor

Craig Spencer

Date

Type

Dissertation

Citation