On the distribution of roots of Riemann zeta and allied functions, I
✍ Scribed by G. Halász; P. Turán
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 639 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
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
## Abstract In this paper, we have exhibited, by utilizing value distribution theory, some new properties of the Gamma function Γ(__z__) and the Riemann zeta function ζ(__z__). Specifically, we have proved that both of the two functions are prime and the Riemann zeta function, like Γ(__z__), does n