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math.NT2018
Regulator proofs for Boyd's identities on genus 2 curves
Matilde Lalín, Gang Wu
We use the elliptic regulator to recover some identities between Mahler measures involving certain families of genus 2 curves that were conjectured by Boyd and proven by Bertin and…
math.GT2018
Mahler Measure and the Vol-Det Conjecture
Abhijit Champanerkar, Ilya Kofman, Matilde Lalín
The Vol-Det Conjecture relates the volume and the determinant of a hyperbolic alternating link in . We use exact computations of Mahler measures of two-variable polynomials to…