Remarques sur les différentielles des polylogarithmes uniformes
Cathelineau, Jean-Louis
Annales de l'Institut Fourier, Tome 46 (1996), p. 1327-1347 / Harvested from Numdam
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On étudie des équations fonctionnelles pour les différentielles des polylogarithmes uniformes. Un des ingrédients est l’analogue infinitésimal d’un complexe introduit par Goncharov. On obtient en particulier une équation fonctionnelle à 22 termes pour la différentielle du trilogarithme.

The purpose of the article is to study functional equations for the differentials of polylogarithms. One of the main ingredients is an infinitesimal analogue of a complex introduced by Goncharov. As a result, one obtains a 22-term relation for the differential of the trilogarithm.

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     author = {Cathelineau, Jean-Louis},
     title = {Remarques sur les diff\'erentielles des polylogarithmes uniformes},
     journal = {Annales de l'Institut Fourier},
     volume = {46},
     year = {1996},
     pages = {1327-1347},
     doi = {10.5802/aif.1551},
     mrnumber = {98k:19006},
     zbl = {0861.19003},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_1996__46_5_1327_0}
}

Cathelineau, Jean-Louis. Remarques sur les différentielles des polylogarithmes uniformes. Annales de l'Institut Fourier, Tome 46 (1996) pp. 1327-1347. doi : 10.5802/aif.1551. http://gdmltest.u-ga.fr/item/AIF_1996__46_5_1327_0/

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