论文标题
与Riemann Zeta功能相对应的螺钉函数的各个方面
Aspects of the screw function corresponding to the Riemann zeta function
论文作者
论文摘要
我们引入了与Riemann Zeta功能相对应的螺钉函数,并从各个方面研究其特性。典型的结果是在螺钉功能方面的黎曼假设的几个等效条件。其中一个可以被视为所谓的Weil积极性或Li标准的类似物。此外,我们证明了此类等效物的一些部分但无条件的结果。
We introduce a screw function corresponding to the Riemann zeta-function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so-called Weil's positivity or Li's criterion. In addition, we prove a few partial but unconditional results for such equivalents.