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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
Creator
Rogers, Mathew D.
Publisher
University of British Columbia
Date Issued
2008
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
Genre
Thesis/Dissertation
Type
Text
File Format
application/pdf
Language
eng
Date Available
2008-08-20
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0066504
URI
http://hdl.handle.net/2429/1420
Degree (Theses)
Doctor of Philosophy - PhD
Program (Theses)
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Graduation Date
2008-11
Campus
UBCV
Scholarly Level
Graduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

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Attribution-NonCommercial-NoDerivatives 4.0 International