Seminars and Colloquia
Mathematics
L-functions of elliptic curves arising from Mahler measure
Fri, Dec 18, 2015,
04:30 PM to 05:30 PM
at Madhava Hall
Prof. Matilde Lalin
University of Montreal
The Mahler measure of a multivariable polynomial P is given by the integral of
log|P| where each of the variables moves on the unit circle and with respect to the Haar
measure. In 1998 Boyd made a systematic numerical study of the Mahler measure of many
polynomial families and found interesting conjectural relationships to special values of L-functions
of elliptic curves. I will discuss recent advances in Boyd's conjectures relating Mahler measure to L(E,2) and L(E,3).
