| Résume | he Mahler measure of an n-dimensional Laurent polynomial, $P(x_1,...,x_n)$, is defined by \[m(P)=\int_{0}^{1}...\int_{0}^{1}\log|P(e^{2\pi i t_1},...,e^{2\pi i t_n})|dt_1...dt_n.\] There are many conjectured relations between number-theoretic constants and Mahler measures of polynomials. In this talk, I will show how to use the Wilf-Zeilberger algorithm to (re)prove several formulas involving Mahler measures. I will also mention connections with elliptic dilogarithms. This is joint workwith Jes\'{u}s Guillera. |
