论文标题
一类Zeta功能的混合关节普遍性定理的修改
A modification of the mixed joint universality theorem for a class of zeta-functions
论文作者
论文摘要
在伏龙素意义上，Zeta功能在混合关节普遍性上的特性指出，通过Riemann Zeta-Zeta-和Hurwitz Zeta功能组成的合适的垂直偏移，可以同时将任何两个全体形态函数同时近似$ε> 0 $。在[1]中，显示出相当一般的结果，即，近似对由松本Zeta-intrunctions的类和周期性的Hurwitz Zeta功能组成。在本文中，我们证明，这组轮班对所有人的正密度都严格，但最多可数$ε> 0 $。同样，我们就某些更一般的Zeta功能混合元组发表了结论性评论。
The property of zeta-functions on mixed joint universality in the Voronin's sense states that any two holomorphic functions can be approximated simultaneously with accuracy $ε>0$ by suitable vertical shifts of the pair consisting from the Riemann zeta- and Hurwitz zeta-functions. In [1], it was shown rather general result, i.e., an approximating pair was composed of the Matsumoto zeta-functions' class and the periodic Hurwitz zeta-function. In this paper, we prove that this set of shifts has a strict positive density for all but at most countably many $ε>0$. Also, we give the concluding remarks on certain more general mixed tuple of zeta-functions.
