Epstein zeta function and Bloch-Wigner dilogarithm

DOI10.5802/jtnb.748zbMath1278.11072OpenAlexW2302203299MaRDI QIDQ449688

Marie José Bertin

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219707

zbMATH Keywords

Bloch groups of number fieldsBloch-Wigner dilogarithmDirichlet L-seriesEpstein series

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Zeta functions and (L)-functions of number fields (11R42) Polylogarithms and relations with (K)-theory (11G55)

Cites Work

• Volumes of hyperbolic three-manifolds
• Hyperbolic manifolds and special values of Dedekind zeta-functions
• Scissors congruences. II
• \(K_ 3\) of a field and the Bloch group
• Geometry of configurations, polylogarithms, and motivic cohomology
• Some Lambert series expansions of products of theta functions
• A Mahler Measure of a K3 Surface Expressed as a Dirichlet L-Series
• The Dilogarithm Function
• A systematic approach to the evaluation of Σ_(m,n>0)(am²+bmn+cn²)^-s
• The Chowla-Selberg formula for genera
• Generators and relations for certain special linear groups
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