9 citations · 23 across the 11 of their papers we have counts for
4 papers · 1 filter
On the Mahler measure of hyperelliptic families
Marie José Bertin, Wadim Zudilin
We prove Boyd's "unexpected coincidence" of the Mahler measures for two families of two-variate polynomials defining curves of genus 2. We further equate the same measures to the M…
On the Mahler measure of a family of genus 2 curves
Marie José Bertin, Wadim Zudilin
We establish a general identity between the Mahler measures and of two polynomial families, where and are generically hyperell…
The Mahler measure and the L-series of a singular K3-surface
Marie José Bertin
We present the first example of a polynomial defining a singular K3-surface whose Mahler measure is expressed in terms of the Mahler measure of the faces of its Newton polyhedron a…
Mesure de Mahler d'hypersurfaces K3
Marie José Bertin
We express the logarithmic Mahler measure of two families of polynomials defining K3 hypersurfaces of generic Picard number 19 in terms of Eisenstein-Kronecker series. For some sin…