Return to search

Prime power exponential and character sums with explicit evaluations

Doctor of Philosophy / Department of Mathematics / Christopher Pinner / Exponential and character sums occur frequently in number theory. In most applications
one is only interested in estimating such sums. Explicit evaluations of such sums are rare.

In this thesis we succeed in evaluating three types of sums when p is a prime and
m is sufficiently large. The twisted monomial sum, the binomial character sum,
and the generalized Jacobi sum.

We additionally show that these are all sums which can be expressed in terms of classical Gauss sums.

Identiferoai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/18277
Date January 1900
CreatorsPigno, Vincent
PublisherKansas State University
Source SetsK-State Research Exchange
Languageen_US
Detected LanguageEnglish
TypeDissertation

Page generated in 0.0026 seconds