Mahler measures, short walks and log-sine integrals

DOI10.1016/j.tcs.2012.10.025zbMath1297.11136OpenAlexW2014053609WikidataQ56935442 ScholiaQ56935442MaRDI QIDQ384990

Armin Straub, Jonathan M. Borwein

Publication date: 29 November 2013

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2012.10.025

zbMATH Keywords

Mahler measure\(n\)-step walklog-sine integral

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Sums of independent random variables; random walks (60G50) Other functions defined by series and integrals (33E20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions ⋮ ON AN INTEGRAL OF -BESSEL FUNCTIONS AND ITS APPLICATION TO MAHLER MEASURE ⋮ On two conjectures of Sun concerning Apéry-like series ⋮ Exact results for the diamond lattice Green function with applications to uniform random walks in a plane ⋮ Estimating Mahler measures using periodic points for the doubling map ⋮ Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series ⋮ Relations for Nielsen polylogarithms

Uses Software

• DLMF
• OEIS

Cites Work

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