The classical trilogarithm, algebraic 𝐾-theory of fields, and Dedekind zeta functions

DOI10.1090/S0273-0979-1991-15975-6zbMath0731.19006OpenAlexW2075952781MaRDI QIDQ3356505

Alexander B. Goncharov

Publication date: 1991

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1991-15975-6

zbMATH Keywords

functional equationDedekind zeta function\(K\)-theoryBloch groupsSpence-Kummer equationtrilogarithm function

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Polylogarithms and relations with (K)-theory (11G55) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items

Functional relations for elliptic polylogarithms, On the real cohomology of arithmetic groups and the rank conjecture for number fields, Properties of Bernstein functions of several complex variables, Algebraic Cycles and the Lie Algebra of Mixed Tate Motives, The Hurwitz zeta function as a convergent series, Explicit weight two motivic cohomology complexes and algebraic \(K\)- theory, Motivic complexes of weight three and pairs of simplices in projective 3-space.

Cites Work

• The Bloch-Wigner-Ramakrishnan polylogarithm function
• Hyperbolic manifolds and special values of Dedekind zeta-functions
• Higher logarithms
• On the structure of Hopf algebras
• Introduction to Algebraic K-Theory. (AM-72)
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