Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders

DOI10.1007/BF01836149zbMath0642.33021OpenAlexW4233768827MaRDI QIDQ1101592

L. Lewin, Xiao Hongnian, M. D. Abouzahra

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137200

zbMATH Keywords

polylogarithmsKummer's functional equation

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Other special functions (33E99) General theory of difference equations (39A05)

Related Items (2)

Further results on supernumary polylogarithmic ladders ⋮ Supernumary polylogarithmic ladders and related functional equations

Cites Work

• Unnamed Item
• The inner structure of the dilogarithm in algebraic fields
• The polylogarithm in algebraic number fields
• The order-independence of the polylogarithmic ladder structure implications for a new category of functional equations
• Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA)
• Über die Unmöglichkeit des Vorkommens von Funktionalgleichungen gewisser Struktur für Polylogarithmen
• Special values of the dilogarithm function
• THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY

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