A Non-Linear Difference Equation for Calculation of the Zeros of the Riemann Zeta-Function on the Critical Line

Abstract

In this work, we present a non-linear difference equation for calculation of the zeros of the Riemann's zeta-function on the critical line. Our proposed non-linear map uses the Lambert W function and it can be easily implemented in a mathematical software. In order to check the quality of the zeros calculated, we show the factorization of an integer number by the calculation of the discrete cosine Riemann transform.

9 pages and 8 figures

References in corpus (2)

• Quantum mechanical potentials related to the prime numbers and Riemann zeros
• Will a physicist prove the Riemann Hypothesis?

Cited by in corpus (2)

• Lyapunov exponents for the map that passes through the non-trivial zeros of Riemann zeta-function
• A dynamic approach for the zeros of the Riemann zeta function - collision and repulsion