Counting solutions to diagonal congruences and Diophantine inequalities
Date
2025
Authors
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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