Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
Journal de théorie des nombres de Bordeaux, Tome 23 (2011) no. 1, pp. 21-34.

Nous exprimons certaines séries d’Epstein normalisées en s=2 comme combinaisons linéaires de dilogarithmes de Bloch-Wigner en des nombres algébriques des corps (Δ) pour les discriminants Δ associés à la forme quadratique.

We give an expression for s=2 of some normalized Epstein series as Bloch-Wigner dilogarithms of algebraic numbers of (Δ), for the discriminants Δ associated to the quadratic form.

DOI : 10.5802/jtnb.748
Mots clés : Epstein series, Bloch-Wigner dilogarithm, Dirichlet L-series, Bloch groups of number fields
Bertin, Marie José 1

1 Université Pierre et Marie Curie (Paris 6) Institut de Mathématiques 175, rue du Chevaleret 75013 PARIS
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     title = {Fonction z\^eta {d{\textquoteright}Epstein} et dilogarithme de {Bloch-Wigner}},
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Bertin, Marie José. Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner. Journal de théorie des nombres de Bordeaux, Tome 23 (2011) no. 1, pp. 21-34. doi : 10.5802/jtnb.748. http://www.numdam.org/articles/10.5802/jtnb.748/

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