We give an expression for of some normalized Epstein series as Bloch-Wigner dilogarithms of algebraic numbers of , for the discriminants associated to the quadratic form.
Nous exprimons certaines séries d’Epstein normalisées en comme combinaisons linéaires de dilogarithmes de Bloch-Wigner en des nombres algébriques des corps pour les discriminants associés à la forme quadratique.
@article{JTNB_2011__23_1_21_0, 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}, number = {1}, year = {2011}, doi = {10.5802/jtnb.748}, mrnumber = {2780617}, zbl = {1278.11072}, language = {fr}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.748/} }
TY - JOUR AU - Marie José Bertin TI - Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner JO - Journal de théorie des nombres de Bordeaux PY - 2011 SP - 21 EP - 34 VL - 23 IS - 1 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.748/ DO - 10.5802/jtnb.748 LA - fr ID - JTNB_2011__23_1_21_0 ER -
%0 Journal Article %A Marie José Bertin %T Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner %J Journal de théorie des nombres de Bordeaux %D 2011 %P 21-34 %V 23 %N 1 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.748/ %R 10.5802/jtnb.748 %G fr %F JTNB_2011__23_1_21_0
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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