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On the Mahler measure of a family of genus 2 curves

Published 17 May 2014 in math.NT, math.AG, math.CA, and math.KT | (1405.4396v2)

Abstract: We establish a general identity between the Mahler measures $m(Q_k(x,y))$ and $m(P_k(x,y))$ of two polynomial families, where $Q_k(x,y)=0$ and $P_k(x,y)=0$ are generically hyperelliptic and elliptic curves, respectively.

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