关于Zeta函数的特殊值,Browkin曾猜测有等式|ζ(-1)|=R2k2/ω2,然而,在F是有复素位的数域情形下,可判定此等式不成立。主要的方法是利用有关Bloch群的一个定理及zeta函数方程作一些计算,然后和猜测的等式进行比较,导出矛盾。
About the special value of Zeta function, Browkin guessed that there should be an equality: |ζ(-1)|=R2k2/ω2. However, for a number field F having a complex place, it is checked in this remark that this equality is not true. The main ideas are based on a theorem about Bloch group and some calculation about the zeta function. Finally a contradiction by comparing Browkin~s equality with the calculation is deduced.