The polylogarithm in algebraic number fields

DOI10.1016/0022-314X(85)90052-6zbMath0577.12001OpenAlexW2032453600MaRDI QIDQ1065862

L. Lewin, M. D. Abouzahra

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-314x(85)90052-6

zbMATH Keywords

dilogarithmpolylogarithmidentitiesfunctional equationsladdervalues at algebraic pointshigher order polylogarithmsWatson's formula

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other special functions (33E99)

Related Items

Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm ⋮ Further results on supernumary polylogarithmic ladders ⋮ Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA) ⋮ The polylogarithm in the field of two irreducible quintics ⋮ Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders ⋮ The inner structure of the dilogarithm in algebraic fields ⋮ Supernumary polylogarithmic ladders and related functional equations

Cites Work

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• The inner structure of the dilogarithm in algebraic fields
• Padé approximations to the generalized hypergeometric functions. I
• On the local maximum property of the Koebe function
• Über die Unmöglichkeit des Vorkommens von Funktionalgleichungen gewisser Struktur für Polylogarithmen
• Two-dimensional properties of random surfaces
• THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY
• On polylogarithms
• A Logarithmic Transcendent

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