Auxiliary polynomials and height functions

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Auxiliary polynomials and height functions

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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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