描述双变量的所有多变量函数方程
Describing all multivariable functional equations of dilogarithms
摘要：
我们证明了相当一般的陈述函数方程在任何数量的变量定义的difficulms的布洛赫-维格纳，罗杰斯和科尔曼，表明他们遵循某些5项和2项的关系，在一个精确的方式。与许多其他参考文献不同，我们使用任意系数，不忽略任何扭转，并得到尖锐的结果。对于布洛赫-维格纳双对数，我们还考虑复共轭，并为科尔曼的p-adic双对数，我们表明独立的分支。
英文摘要：
We prove quite general statements about functional equations in any number of variables for the dilogarithms defined by Bloch-Wigner, Rogers, and Coleman, showing that they follow from certain 5-term and 2-term relations in a precise way. Unlike many other references, we use arbitrary coefficients, do not ignore any torsion, and get sharp results. For the Bloch-Wigner dilogarithm, we also consider complex conjugation, and for Coleman's p-adic dilogarithm we show independence of the branch.
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