Log-sine Evaluations of Mahler Measures, Ii
نویسندگان
چکیده
We continue our analysis of higher and multiple Mahler measures using log-sine integrals as started in [7, 8]. This motivates a detailed study of various multiple polylogarithms [4] 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.
منابع مشابه
A 5 INTEGERS 12 A ( 2012 ) : John Selfridge Memorial Issue LOG - SINE EVALUATIONS OF MAHLER MEASURES , II
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...
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