This is a mathematical article that deals with the domain of complex numbers in order to contribute in the worldwide collaboration of mathematicians who want to study and explain the Riemann's Zeta Function.

The aim of this work is to propose new mathematical statements of complex numbers and to give a new easy criterion that may help to identify or deny the possible Landau-Siegel Zeros. Furthermore, this work invites the mathematicians to study a new possible useful homomorphism.

Hence, this is a good article to be read by specialists of Analysis or Algebra and even by the beginners of mathematics who want to improve their skills.