论文标题
Riemann Zeta功能沿其朱莉娅线的价值分布
Value-Distribution of the Riemann Zeta-Function along its Julia Lines
论文作者
论文摘要
对于任意的复杂数字$ a \ neq 0 $，我们考虑在函数方程式$ζ（s）=δ（s）ζ（1-s）$的功能$δ$的$ a $ points $ a $ a-points的riemann zeta-function $ζ$的值分布。这些$ a $ points $δ_a$聚集在关键行$ 1/2+i \ i \ mathbb {r} $上，这恰好是Infinity $ζ$的朱莉娅奇异行。我们观察到值$ζ（Δ_A）$的序列的平均行为显着。
For an arbitrary complex number $a\neq 0$ we consider the distribution of values of the Riemann zeta-function $ζ$ at the $a$-points of the function $Δ$ which appears in the functional equation $ζ(s)=Δ(s)ζ(1-s)$. These $a$-points $δ_a$ are clustered around the critical line $1/2+i\mathbb{R}$ which happens to be a Julia line for the essential singularity of $ζ$ at infinity. We observe a remarkable average behaviour for the sequence of values $ζ(δ_a)$.
