New generating and counting Functions of prime numbers applied to approximate Chebyschev 2nd class function and the least action principle applied to find non-trivial roots of the Zeta function and to Riemann Hypothesis

Eduardo Stella, Celso L Ladera, Guillermo Donoso

We introduce a new set of prime numbers functions including an exact Generating Function and a Discriminating Function of Prime Numbers neither based on prime number tables nor on…