Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
[Epstein zeta function and Bloch-Wigner dilogarithm]
Journal de théorie des nombres de Bordeaux, Volume 23 (2011) no. 1, pp. 21-34.

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.

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.

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

1 Université Pierre et Marie Curie (Paris 6) Institut de Mathématiques 175, rue du Chevaleret 75013 PARIS
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     author = {Marie Jos\'e Bertin},
     title = {Fonction z\^eta {d{\textquoteright}Epstein} et dilogarithme de {Bloch-Wigner}},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {21--34},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {23},
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     year = {2011},
     doi = {10.5802/jtnb.748},
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Marie José Bertin. Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner. Journal de théorie des nombres de Bordeaux, Volume 23 (2011) no. 1, pp. 21-34. doi : 10.5802/jtnb.748. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.748/

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