Auxiliary polynomials and height functions
| dc.contributor.advisor | Vaaler, Jeffrey D. | en |
| dc.creator | Samuels, Charles Lloyd, 1980- | en |
| dc.date.accessioned | 2008-08-28T23:39:12Z | en |
| dc.date.available | 2008-08-28T23:39:12Z | en |
| dc.date.issued | 2007 | en |
| dc.description | text | en |
| dc.description.abstract | We establish two new results in this dissertation. Recent theorems of Dubickas and Mossinghoff use auxiliary polynomials to give lower bounds on the Weil height of an algebraic number [alpha] under certain assumptions on [alpha]. We prove a theorem which introduces an auxiliary polynomial for giving lower bounds on the height of any algebraic number. In particular, we prove the following theorem. [Mathematical equations] | en |
| dc.description.department | Mathematics | en |
| dc.format.medium | electronic | en |
| dc.identifier | b68900442 | en |
| dc.identifier.oclc | 174277691 | en |
| dc.identifier.uri | http://hdl.handle.net/2152/3291 | en |
| dc.language.iso | eng | en |
| dc.rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. | en |
| dc.subject.lcsh | Polynomials | en |
| dc.subject.lcsh | Algebraic spaces | en |
| dc.title | Auxiliary polynomials and height functions | en |
| dc.type.genre | Thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | The University of Texas at Austin | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | Doctor of Philosophy | en |