论文标题
关于Selberg类$ L $ functions的垂直分布
On the Vertical Distribution of Values of $L$-functions in the Selberg Class
论文作者
论文摘要
我们证明了Selberg类的$ L $ functions的$α$ - 点的明确公式。接下来，我们将利特伍德定理扩展了Riemann Zeta-funnction $ζ$ ZEROS的垂直分布到上述$ l $ functions的$α$ - 点的情况。该结果意味着$α$ - 点的子序列的统一分布，从该分布中，以Voronin的精神得出了离散的通用定理。
We prove explicit formulae for $α$-points of $L$-functions from the Selberg class. Next we extend a theorem of Littlewood on the vertical distribution of zeros of the Riemann zeta-function $ζ(s)$ to the case of $α$-points of the aforementioned $L$-functions. This result implies the uniform distribution of subsequences of $α$-points and from this a discrete universality theorem in the spirit of Voronin is derived.
