Relations for Nielsen polylogarithms

DOI10.1016/j.jat.2013.07.003zbMath1315.33006OpenAlexW2019920528WikidataQ56018953 ScholiaQ56018953MaRDI QIDQ2339501

Armin Straub, Jonathan M. Borwein

Publication date: 1 April 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.07.003

zbMATH Keywords

multiple zeta valuesmultiple polylogarithmsClausen functionslog-sine integrals

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Higher logarithm functions (33B30)

Related Items (1)

The fermion-boson map for large $d$

Uses Software

• DLMF

Cites Work

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• Mahler measures, short walks and log-sine integrals
• Central Binomial Sums, Multiple Clausen Values, and Zeta Values
• Harmonic sums and polylogarithms generated by cyclotomic polynomials
• Closed expressions for ∫¹₀𝑡⁻¹𝑙𝑜𝑔ⁿ⁻¹𝑡log^{𝑝}(1-𝑡)𝑑𝑡
• Log-Sine integrals involving series associated with the zeta function and polylogarithms
• 2763. On the evaluation of log-sine integrals
• Nielsen’s Generalized Polylogarithms
• Special values of multiple polylogarithms
• New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
• Log-Sine Evaluations of Mahler Measures, II
• Special values of generalized log-sine integrals
• Computation and theory of extended Mordell-Tornheim-Witten sums
• On Nielsen's generalized polylogarithms and their numerical calculation
• New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

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