Remarques sur les différentielles des polylogarithmes uniformes

Jean-Louis Cathelineau

Annales de l'institut Fourier (1996)

  • Volume: 46, Issue: 5, page 1327-1347
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Cathelineau, Jean-Louis. "Remarques sur les différentielles des polylogarithmes uniformes." Annales de l'institut Fourier 46.5 (1996): 1327-1347. <http://eudml.org/doc/75215>.

@article{Cathelineau1996,
abstract = {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.},
author = {Cathelineau, Jean-Louis},
journal = {Annales de l'institut Fourier},
keywords = {uniform polylogarithms; functional identities; Goncharov complexes; algebraic -theory; functional equations; differentials of polylogarithms; trilogarithm},
language = {fre},
number = {5},
pages = {1327-1347},
publisher = {Association des Annales de l'Institut Fourier},
title = {Remarques sur les différentielles des polylogarithmes uniformes},
url = {http://eudml.org/doc/75215},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Cathelineau, Jean-Louis
TI - Remarques sur les différentielles des polylogarithmes uniformes
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 5
SP - 1327
EP - 1347
AB - 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.
LA - fre
KW - uniform polylogarithms; functional identities; Goncharov complexes; algebraic -theory; functional equations; differentials of polylogarithms; trilogarithm
UR - http://eudml.org/doc/75215
ER -

References

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