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arXiv · 0809.3984

Sur la conjecture de Zagier pour n=4

Nicusor Dan
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Abstract

We express a general 4-hyperlogarithm as a linear combination of 4-hyperlogarithms in two variables. We reduce the Zagier's conjecture for $n=4$ to a combinatorial statement. We give a short survey of the strategy of Goncharov and Zagier for reducing the Zagier's conjecture for general $n$ to combinatorial relations between hyperlogarithms. Such a survey is missing in the literature.

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Nicusor Dan. 2008-09-23. Sur la conjecture de Zagier pour n=4. https://arxiv.org/abs/0809.3984

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