Blog Archives

The inverse Riemann zeta function

Kawalec Artur

In this article, we develop a formula for an inverse Riemann zeta function such that for w = ζ(s) we have s = ζ^(−1)(w) for real and complex domains s and w. The presented work is based on extending the analytical recurre ...

On the complex magnitude of Dirichlet beta function

Kawalec Artur

In this article, we derive an expression for the complex magnitude of the Dirichlet beta function β(s) represented as a Euler prime product and compare with similar results for the Riemann zeta function. We also obtain formulas for β(s) valid for an even and odd kth positive integer argument an ...