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Details for article 47 of 49 found articles
| Title: |
The lerch zeta-function* |
| Author: |
Garunkstis, R. Laurincikas, A. |
| Appeared in: |
Integral transforms and special functions |
| Paging: | Volume 10 (2000) nr. 3-4 pages 211-226 |
| Year: |
2000-12 |
| Contents: |
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. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 47 of 49 found articles
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