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.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:BVAU.2429/1420 |
| Date | 11 1900 |
| Creators | Rogers, Mathew D. |
| Publisher | University of British Columbia |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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