10.5281/ZENODO.1495201
Armando M. Evangelista Jr.
0000-0002-3199-1105
None
The Domain of the Riemann Zeta Function on the Complex Plane
Zenodo
2018
2018-11-23
https://zenodo.org/record/3250269
10.5281/zenodo.1495202
10.5281/zenodo.2650214
10.5281/zenodo.3250269
Creative Commons Attribution 4.0 International
Open Access
<p>The Riemann zeta-function is one of the most studied complex function in mathematics. Riemann in his 1859 paper On the Number of Prime Numbers less than a Given Quantity [1] claimed that the analytic continuation of the zeta-function extends its domain over the entire complex plane except at<br>
s = 1. But, as I’ve shown in my two papers: A Short Disproof of the Riemann Hypothesis [2] andRiemann’s Functional Equation is Not Valid and Its Implication on the Riemann Hypothesis [3], the zeta-function is only defined on the right half-plane. It is the purpose of this present work to precisely locate the domain of this function on the right half-plane.</p>