On the Mahler measure of a family of genus 2 curves
classification
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math.AGmath.CAmath.KT
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curvesmahlerellipticestablishfamiliesfamilygeneralgenerically
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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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