论文标题
分数超几何Zeta函数的更多无零区域
More Zero-Free Regions for Fractional Hypergeometric Zeta Functions
论文作者
论文摘要
一些无零区域在复合面的右半以垂直条的形式为分数超几何Zeta函数。在本文中，我们描述并演示了复杂平面的左半部分的零游离区域，用于分数超几何Zeta函数。顺序$ a $的分数超几何zeta函数在复合平面的左半部分没有零，除了真实轴上的微不足道零。
Some zero-free regions were known on the right half of the complex plane in the form of vertical strips for fractional hypergeometric zeta functions. In this paper, we describe and demonstrate zero free regions on the left half of the complex plane for fractional hypergeometric zeta functions. The fractional hypergeometric zeta function of order $a$ has no zeros to the left half of the complex plane except the trivial zeros on the real axis.
