On the function S(T) in the theory of the Riemann zeta-function
β Scribed by D.A. Goldston
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 948 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
The function \(E_{2}(R)\) is used to denote the error term in the asymptotic formula for the fourth power moment of the Riemann zeta-function on the half-line. In this paper we prove several new results concerning this function, which include \(O\) - and \(\Omega\)-results. In the proofs use is made