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UBC Theses and Dissertations
Hypergeometric functions and Mahler measure Rogers, Mathew D.
Abstract
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.
Item Metadata
Title |
Hypergeometric functions and Mahler measure
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2008
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Description |
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.
|
Extent |
818702 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2008-08-20
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0066504
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2008-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International