论文标题
关于ramanujan $ξ-$函数的近似值的零注释
A note on the zeros of approximations of the Ramanujan $Ξ-$function
论文作者
论文摘要
在本文中,我们回顾了Haseo Ki给出的Ramanujan $ξ-$函数的某些近似值的分布的研究,并提供了他的结果的新证明。我们的方法是由Velásquez的思想激励的,在研究整个功能的零额的研究中,与Hermite-Biehler Therorem有关的某种稳定性条件。
In this paper, we review the study of the distribution of the zeros of certain approximations for the Ramanujan $Ξ-$function given by Haseo Ki, and we provide a new proof of his results. Our approach is motivated by the ideas of Velásquez in the study of the zeros of certain sums of entire functions with some condition of stability related to the Hermite-Biehler theorem.