The lerch zeta-function*
The lerch zeta-function*
复制标题
lerch zeta 函数*
DOI：
10.1080/10652460008819287
复制
发表时间：
2000
影响因子：
1
通讯作者：
A. Laurinčikas
中科院分区：
文献类型：
--
作者：
R. Garunkštis;A. Laurinčikas
本文研究了M. Lerch在1887年引入的Lerch Zeta功能L（λαS）。考虑了非直觉参数λ的情况，然后L（λαS）是整个功能在此功能中，该函数是从此功能独立性获得的当λ≠1/2时，在右侧的右侧也表示。给出了关键条。
This paper studies the Lerch zeta-function L(λ αs) which was introduced by M. Lerch in 1887. The case of non-integer parameter λ is considered, and then L(λ αs) is an entire function. First, the universality of this function with transcendental parameter a is obtained. From this the functional independence is derived. The third part of the paper is devoted to the zero-distribution of the Lerch zeta-function. Zero-free regions are indicated on the right as well on the left of the imaginary axis when λ ≠ 1/2. If λ = 1/2, then zero-free regions lie in the left half-plane. Finally, estimates for the number of zeros in the critical strip are given.