LOG-SINE EVALUATIONS OF MAHLER MEASURES

DOI10.1017/S1446788712000067zbMath1277.33019arXiv1103.3893WikidataQ56935438 ScholiaQ56935438MaRDI QIDQ2898883

Jonathan M. Borwein, Armin Straub

Publication date: 12 July 2012

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3893

zbMATH Keywords

Mahler measuremultiple zeta valuesmultiple polylogarithmsClausen functionslog-sine integrals

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

Generalized log-sine integrals and Bell polynomials ⋮ On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant ⋮ Mahler measures, short walks and log-sine integrals ⋮ Evaluations of the areal Mahler measure of multivariable polynomials ⋮ Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple \(L\)-values ⋮ Densities of short uniform random walks in higher dimensions

Uses Software

• DLMF

Cites Work

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• Higher-Dimensional Box Integrals
• On multiple higher Mahler measures and multiple L values
• 2763. On the evaluation of log-sine integrals
• Higher Mahler measures and zeta functions
• Speculations Concerning the Range of Mahler's Measure
• Special values of multiple polylogarithms
• New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

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