Absolutely Convergence of the Dirichlet Series of the Mobius Function

Abstract

Wigner distribution is a tool for signal processing to obtain instantaneous spectrum of a signal. From which, another representation of the Euler product can be obtained for Dirichlet series of the Mobius function. From which, we can give the proof of the absolutely convergence of the Dirichlet series on the Mobius function which leads to the proof of the Riemann hypothesis.