On the Mahler measure of a family of genus 2 curves

Marie José Bertin; Wadim Zudilin

doi:10.1007/s00209-016-1637-6

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arXiv · 1405.4396

On the Mahler measure of a family of genus 2 curves

Marie José Bertin·Wadim Zudilin

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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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Marie José Bertin, Wadim Zudilin. 2015-12-29. On the Mahler measure of a family of genus 2 curves. https://doi.org/10.1007/s00209-016-1637-6

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