- Title
- Log-Sine Evaluations of Mahler Measures, II
- Creator
- Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James
- Relation
- Integers Vol. 12A
- Relation
- http://www.integers-ejcnt.org/vol12a.html
- Publisher
- Walter de Gruyter
- Resource Type
- journal article
- Date
- 2012
- Description
- We continue the analysis of higher and multiple Mahler measures using log-sine integrals as started in “Log-sine evaluations of Mahler measures” and “Special values of generalized log-sine integrals” by two of the authors. This motivates a detailed study of various multiple polylogarithms and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and supply an easy proof of two conjectures by Boyd.
- Subject
- Mahler measures; log-sine evaluations; polylogarithms
- Identifier
- http://hdl.handle.net/1959.13/940216
- Identifier
- uon:12973
- Identifier
- ISSN:1867-0652
- Rights
- The final publication is available at www.degruyter.com
- Language
- eng
- Full Text
- Reviewed
- Hits: 1377
- Visitors: 2394
- Downloads: 298
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 699 KB | Adobe Acrobat PDF | View Details Download |