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Bertin, Marie José

Epstein zeta function and Bloch-Wigner dilogarithm. (Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner.) (French. English summary) Zbl 1278.11072

J. Théor. Nombres Bordx. 23, No. 1, 21-34 (2011).
Summary: We give an expression for \(s=2\) of some normalized Epstein series as Bloch-Wigner dilogarithms of algebraic numbers of \(\mathbb{Q}(\sqrt{\Delta})\), for the discriminants \(\Delta\) associated to the quadratic form.

MSC:

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

Keywords:

Epstein series; Bloch-Wigner dilogarithm; Dirichlet L-series; Bloch groups of number fields
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\textit{M. J. Bertin}, J. Théor. Nombres Bordx. 23, No. 1, 21--34 (2011; Zbl 1278.11072)
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