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Functional equations for Mahler measures of genus-one curves
Matilde N. Lalín, Mathew D. Rogers
In this paper we will establish functional equations for Mahler measures of families of genus-one two-variable polynomials. These families were previously studied by Beauville, and…
math.NT2006
A study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities
Mathew D. Rogers
We prove several identities relating three-variable Mahler measures to integrals of inverse trigonometric functions. After deriving closed forms for most of these integrals, we obt…