Auxiliary polynomials and height functions

Auxiliary polynomials and height functions

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...

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Bibliographic Details
Main Author: Samuels, Charles Lloyd, 1980-
Format: Others
Language:English
Published: 2008
Subjects:
Polynomials
Algebraic spaces
Online Access:http://hdl.handle.net/2152/3291
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spelling ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-32912015-09-20T16:51:56ZAuxiliary polynomials and height functionsSamuels, Charles Lloyd, 1980-PolynomialsAlgebraic spacesWe 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]text2008-08-28T23:39:12Z2008-08-28T23:39:12Z20072008-08-28T23:39:12ZThesiselectronicb68900442http://hdl.handle.net/2152/3291174277691engCopyright 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.
collection NDLTD
language English
format Others
sources NDLTD
topic Polynomials
Algebraic spaces
spellingShingle Polynomials
Algebraic spaces
Samuels, Charles Lloyd, 1980-
Auxiliary polynomials and height functions
description 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] === text
author Samuels, Charles Lloyd, 1980-
author_facet Samuels, Charles Lloyd, 1980-
author_sort Samuels, Charles Lloyd, 1980-
title Auxiliary polynomials and height functions
title_short Auxiliary polynomials and height functions
title_full Auxiliary polynomials and height functions
title_fullStr Auxiliary polynomials and height functions
title_full_unstemmed Auxiliary polynomials and height functions
title_sort auxiliary polynomials and height functions
publishDate 2008
url http://hdl.handle.net/2152/3291
work_keys_str_mv AT samuelscharleslloyd1980 auxiliarypolynomialsandheightfunctions
_version_ 1716820465681432576

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