论文标题
描述所有多元算法的所有多变量功能方程
Describing all multivariable functional equations of dilogarithms
论文作者
论文摘要
我们证明了有关Bloch-Wigner，Rogers和Coleman定义的任何数量变量中功能方程的一般性陈述，表明它们以精确的方式遵循一定的5-期和2-期关系。与许多其他参考文献不同，我们使用任意系数，不要忽略任何扭转并获得鲜明的结果。对于Bloch-Wigner Diologarithm，我们还考虑了复杂的结合，对于Coleman的P-Adic Diologarithm，我们显示了该分支的独立性。
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.
