The inner structure of the dilogarithm in algebraic fields

DOI10.1016/0022-314X(84)90077-5zbMath0556.12001MaRDI QIDQ761499

L. Lewin

Publication date: 1984

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

zbMATH Keywords

dilogarithmfunctional equationsladderalgebraic pointscyclotomic equationsnew identitiesWatson's identity

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other special functions (33E99)

Related Items

Further results on supernumary polylogarithmic ladders, 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), 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, Conjectures on the dilogarithm, What is the simplest quantum field theory?, Supernumary polylogarithmic ladders and related functional equations, The polylogarithm in algebraic number fields

Cites Work

• Unnamed Item
• Unnamed Item
• The polylogarithm in algebraic number fields
• Padé approximations to the generalized hypergeometric functions. I
• Some new identities for \(\zeta(k)\).
• Special values of the dilogarithm function
• Two-dimensional properties of random surfaces
• THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY
• A NOTE ON SPENCE'S LOGARITHMIC TRANSCENDANT