Mathematical Citation Quotient (MCQ) 2015: 0.31
Log-Sine Evaluations of Mahler Measures, II
1Department of Mathematics, University of Western Ontario, London, Ontario, Canada
2Centre for Computer-assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Callaghan, Australia
3Department of Mathematics, Tulane University, New Orleans, Louisiana, USA
4Centre for Computer-assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Callaghan, Australia
Citation Information: Integers. Volume 12, Issue 6, Pages 1179–1212, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: 10.1515/integers-2012-0035, November 2012
- Published Online:
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.
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