L'évaluation de deux façons différentes de la mesure de Mahler du polynôme 1+z1+z2+z3 permet de donner deux nouvelles formules reliant -linéairement et certaines valeurs de polylogarithmes multiples.
We prove two new relations between and some multiple polylogarithms by evaluating twice the logarithmic Mahler measure of the polynomial 1+z1+z2+z3.
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@article{CRMATH_2004__338_10_747_0, author = {Boughzala, Sana}, title = {Mesure de {Mahler} et polylogarithmes}, journal = {Comptes Rendus. Math\'ematique}, pages = {747--750}, publisher = {Elsevier}, volume = {338}, number = {10}, year = {2004}, doi = {10.1016/j.crma.2004.03.021}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.03.021/} }
TY - JOUR AU - Boughzala, Sana TI - Mesure de Mahler et polylogarithmes JO - Comptes Rendus. Mathématique PY - 2004 SP - 747 EP - 750 VL - 338 IS - 10 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.03.021/ DO - 10.1016/j.crma.2004.03.021 LA - fr ID - CRMATH_2004__338_10_747_0 ER -
Boughzala, Sana. Mesure de Mahler et polylogarithmes. Comptes Rendus. Mathématique, Tome 338 (2004) no. 10, pp. 747-750. doi : 10.1016/j.crma.2004.03.021. http://archive.numdam.org/articles/10.1016/j.crma.2004.03.021/
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