𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Nevanlinna Functions of the Riemann Zeta-Function

✍ Scribed by Zhuan Ye

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
84 KB
Volume
233
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On some new properties of the gamma func
On some new properties of the gamma function and the Riemann zeta function
✍ Liangwen Liao; Chung-Chung Yang πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 126 KB

## Abstract In this paper, we have exhibited, by utilizing value distribution theory, some new properties of the Gamma function Ξ“(__z__) and the Riemann zeta function ΞΆ(__z__). Specifically, we have proved that both of the two functions are prime and the Riemann zeta function, like Ξ“(__z__), does n

Mean-Value Theorem of the Riemann Zeta-F
Mean-Value Theorem of the Riemann Zeta-Function Over Short Intervals
✍ A. Sankaranarayanan; K. Srinivas πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 139 KB

Let \(s=\sigma+i t\). Then, on the assumption of Riemann Hypothesis, we prove the Mean-Value Theorem for the square of the Riemann zeta-function over shorter intervals for \(1 / 2+A_{1} / \log \log T \leqslant \sigma \leqslant 1-\delta\). Here \(A_{1}\) is a large positive constant, \(\delta\) is a