- 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
- Mathematische Zeitschrift Vol. 283, Issue 3-4, p. 1185-1193
- Publisher Link
- http://dx.doi.org/10.1007/s00209-016-1637-6
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2016
- Description
- We establish a general identity between the Mahler measures m (Qk(x, y)) and m(Pk(x, y)) of two polynomial families, where Qk(x, y) = 0 and Pk(x, y) = 0 are generically hyperelliptic and elliptic curves, respectively.
- Subject
- Mahler measure; L-value; elliptic curve; hyperelliptic curve; elliptic integral
- Identifier
- http://hdl.handle.net/1959.13/1322532
- Identifier
- uon:24598
- Identifier
- ISSN:0025-5874
- Rights
- The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-016-1637-6.
- Language
- eng
- Full Text
- Reviewed
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | Attachment02 | Author final version | 199 KB | Adobe Acrobat PDF | View Details Download |