论文标题
与算术函数相关的双dirichlet系列ii
Double Dirichlet series associated with arithmetic functions II
论文作者
论文摘要
本文是我们以前在与算术函数(例如von mangoldt函数,莫比乌斯函数等)相关的双dirichlet系列上的工作的延续。我们考虑奇异性集合的非阳性整数点周围的分析行为,这是不确定性的点。特别是,我们显示了其残留物的某些互惠定律。同样,在这种情况下,我们在以前的论文中纠正了一些不准确的问题。
This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the Möbius function, and so on. We consider the analytic behaviour around the non-positive integer points on singularity sets which are points of indeterminacy. In particular, we show a certain reciprocity law of their residues. Also on this occasion we correct some inaccuracies in our previous paper.