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

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