Counting solutions to diagonal congruences and Diophantine inequalities
| dc.contributor.author | Wilson, Kathryn | |
| dc.date.accessioned | 2025-04-15T21:04:55Z | |
| dc.date.available | 2025-04-15T21:04:55Z | |
| dc.date.graduationmonth | May | |
| dc.date.issued | 2025 | |
| dc.description.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 . . . See PDF file for full abstract. | |
| dc.description.advisor | Craig Spencer | |
| dc.description.degree | Doctor of Philosophy | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Doctoral | |
| dc.identifier.uri | https://hdl.handle.net/2097/44931 | |
| dc.language.iso | en_US | |
| dc.subject | Waring number | |
| dc.subject | Diophantine inequalities | |
| dc.subject | Hardy-Littlewood circle method | |
| dc.subject | Function fields | |
| dc.subject | Congruences | |
| dc.subject | Davenport-Heilbronn method | |
| dc.title | Counting solutions to diagonal congruences and Diophantine inequalities | |
| dc.type | Dissertation |
