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Hypergeometric functions and Mahler measure

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.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:BVAU./1420
Date11 1900
CreatorsRogers, Mathew D.
PublisherUniversity of British Columbia
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Format818702 bytes, application/pdf

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