UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

Hypergeometric functions and Mahler measure Rogers, Mathew D.


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 Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International