The logarithmic Mahler measure of an n-variable Laurent
polynomial, P(x1,...,xn) is defined by [expression].
Using experimental methods, David Boyd conjectured a large number of
explicit relations between Mahler measures of polynomials and
special values of different types of L-series. This thesis
contains four papers which either prove or attempt to prove
conjectures due to Boyd. The introductory chapter contains an
overview of the contents of each manuscript. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/1420 |
| Date | 11 1900 |
| Creators | Rogers, Mathew D. |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Format | 818702 bytes, application/pdf |
| Rights | Attribution-NonCommercial-NoDerivatives 4.0 International, http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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