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]
URI: http : / /hdl .handle .net /2152 /3291
Date: 2008-08-28


Auxiliary polynomials and height functions. Doctoral dissertation, The University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /3291 .

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