- Title
- Log-sine evaluations of Mahler measures
- Creator
- Borwein, Jonathan M.; Straub, Armin
- Relation
- Journal of the Australian Mathematical Society Vol. 92, Issue 1, p. 15-36
- Publisher Link
- http://dx.doi.org/10.1017/S1446788712000067
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2012
- Description
- We provide evaluations of several recently studied higher and multiple Mahler measures using log-sine integrals. This is complemented with an analysis of generating functions and identities for log-sine integrals which allows the evaluations to be expressed in terms of zeta values or more general polylogarithmic terms. The machinery developed is then applied to evaluation of further families of multiple Mahler measures.
- Subject
- log-sine integrals; Mahler measure; multiple polylogarithms; multiple zeta values; Clausen functions
- Identifier
- http://hdl.handle.net/1959.13/940299
- Identifier
- uon:12988
- Identifier
- ISSN:1446-7887
- Language
- eng
- Full Text
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|---|---|---|---|---|---|---|---|
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