Prime power exponential and character sums with explicit evaluations
| dc.contributor.author | Pigno, Vincent | |
| dc.date.accessioned | 2014-08-22T19:03:29Z | |
| dc.date.available | 2014-08-22T19:03:29Z | |
| dc.date.graduationmonth | August | |
| dc.date.issued | 2014-08-01 | |
| dc.date.published | 2014 | |
| dc.description.abstract | 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. | |
| dc.description.advisor | Christopher Pinner | |
| dc.description.degree | Doctor of Philosophy | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Doctoral | |
| dc.identifier.uri | http://hdl.handle.net/2097/18277 | |
| dc.language.iso | en_US | |
| dc.publisher | Kansas State University | |
| dc.rights | © the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | mathematics | |
| dc.subject.umi | Mathematics (0405) | |
| dc.title | Prime power exponential and character sums with explicit evaluations | |
| dc.type | Dissertation |
