Title: PROVING THE RIEMANN HYPOTHESIS OVER THE ZEROS OF THE ZETA FUNCTION

Name: JESUS MUÑOZ VAZQUEZ

Affiliation UNIVERSIDAD AUTONOMA CHAPINGO-
COLEGIO POSTGRADUADOS.
jesusmunoz_20@yahoo.com.mx 
jmunoz.sfa@sagarpa.gob.mx

MEXICO.

Abstract

1.-Historical Background.
2.-Solution Outline.
3.-Discussion over Hilbert Formula.
4.-Discussion over Ellison Mendes Formula.
5.-Advantages of the Operational Calculus,related to number functions.
6.-Presenting for first  time the Prime Number Distribution Formula  in
three  different forms:a)Algebra.
                                    b)Mathematica software.
                                     c)Operational Calculus.
Every   deduction backed for the pertinent graphics from Mathematic software.
7.-The point 6 was deducted  from the presentacion  of the matrix that exhibits 
all the divisors characteristics of the number system.
8.-Remembering that to prove the Hilbert formula is needed that in the limit
  the value is less to infinity ,we introduce in the expression  the coresponding
   value and we find that that again is less than infinity.
9.-In the road to prove the Riemann Hypothesis,we deduct:
a)a function with one(1) over any prime number an with a zero(0) over any other number.
b)a function that gives the number of prime numbers up to any number..