Auxiliary polynomials and height functions
| Title: | Auxiliary polynomials and height functions |
| Author: | Samuels, Charles Lloyd, 1980- |
| 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] |
| Department: | Mathematics |
| Subject: |
Polynomials
Algebraic spaces |
| URI: | http://hdl.handle.net/2152/3291 |
| Date: | 2007 |
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