Sur la conjecture de Zagier pour n=4. II

Details Sur la conjecture de Zagier pour n=4. II Sur la conjecture de Zagier pour n=4. II

2011-01-08

arxiv.org/abs/1101.1557v1

Mathematics

K-Theory and Homology

6 pages

Scientific paper

We express a general multiple polylogarithm of weight n as an explicit linear combination of multiple polylogarithms of weight n in n-2 variables. We express a general multiple polylogarithm of weight 4 as an explicit linear combination of multiple polylogarithms of type (3,1). We deduce a 4 parameters functional equation expressing a certain linear combination of multiple polylogarithms of type (3,1) as a linear combination of polylogarithms of weight 4.

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