Colloque des sciences mathématiques du Québec

4 février 2011 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Mahler measure as special values of $L$-functions

Colloque par Matilde Lalin

The Mahler measure of an $n$-variable polynomial $P$ is the integral of $log|P|$ over the $n$-dimensional unit torus $T^n$ with respect to the Haar measure. Moreover, it is often connected to special values of $L$-functions. These conections can often be explained in terms of number theoretic statements that relate L-functions to periods (such as Beilinson's conjectures). We are going to explore examples of these relationships.


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