- Title
- On the Mahler measure of a family of genus 2 curves
- Creator
- Bertin, Marie José; Zudilin, Wadim
- Relation
- ARC.DP140101186 http://purl.org/au-research/grants/arc/DP140101186
- Relation
- Annales Mathematiques du Quebec Vol. 41, Issue 1, p. 199-211
- Publisher Link
- http://dx.doi.org/10.1007/s40316-016-0068-4
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2017
- Description
- We 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.
- Subject
- Mahler measure; L-value; elliptic curve; hyperelliptic curve; elliptic integral
- Identifier
- http://hdl.handle.net/1959.13/1336333
- Identifier
- uon:27595
- Identifier
- ISSN:2195-4755
- Rights
- © 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.
- Language
- eng
- Full Text
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