On the Mahler measure of a family of genus 2 curves
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posted on 2025-05-10, 12:46 authored by Marie José Bertin, Wadim ZudilinWe prove Boyd’s “unexpected coincidence” of the Mahler measures for two families of two-variate polynomials defining curves of genus 2. We further equate the same measures to the Mahler measures of polynomials y³ − y + x³ − x + kxy whose zero loci define elliptic curves for k ≠ 0, ± 3.
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DP140101186
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Annales Mathematiques du QuebecVolume
41Issue
1Pagination
199-211Publisher
SpringerLanguage
- en, English
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Faculty of ScienceSchool
School of Mathematical and Physical SciencesRights statement
© The Author(s) 2016. This article is published with open access at Springerlink.com. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.Usage metrics
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