Convergent Series for the Zeta Function

Abstract

In this article new convergent series are presented and they will be applied to the zeta function. With them we solve the relevant points such as: Calculate and define the absolute zero points on the straight line for everything (\(\frac{1}{n}\)) with (\(n \ge 2\)) and, one more than acceptable approximation to the absolute value of \(\pi\)(x) since, the greater the increase of (\(\Delta\)(x)) the relation between the new equation of \(\pi\)(x) and the value absolute of \(\pi\)(x) is \(\frac{\pi(\Delta x)}{\pi(\Delta x)}\) \(\cong\).