Proof of Riemann Hypothesis

Riemann Hypothesis Proof

Inventor Engineer / Mena Adel Nagy Asham

Mr. Mena Fady Adel

Miss.Mena Marian Adel

Suez , Egypt

ashammena@gmail.com

ABSTRACT:

The Riemann zeta function ζ(s) is a function whose argument s may be any complex number other than 1, and whose values are also complex. It has zeros at the negative even integers; that is, ζ(s) = 0 when s is one of −2, −4, −6, …. These are called its trivial zeros. However, the negative even integers are not the only values for which the zeta function is zero. The other ones are called non-trivial zeros. The Riemann hypothesis is concerned with the locations of these non-trivial zeros, The real part of every non-trivial zero of the Riemann zeta function is 1/2.

Riemann hypothesis proof .

Laws and simple ways to find all the prime numbers .

Reverse calculating two primes that has been multiplied with each other very simple.

Connection of zeta function with the primes.

Proof all the ways that I got.

Keywords : Riemann zeta function , Primes , Euler’s equation , Complex number , Graphs of trig functions .

References :

[1] Official Problem Description With Links to Riemann’s paper by Clay Mathematics Institute . http://WWW.claymath.org/millenium problems/Riemann hypohesis

.[2] Brent, Richard P. “On the Zeros of the Riemann Zeta Function in the Critical Strip.”

Mathematics of Computation 33.148 (1979): 1361. Print.

[3] Edwards, Harold M. Riemann’s Zeta Function. New York: Academic, 1974. Print.

[4] Hutchinson, J. I. “On the Roots of the Riemann Zeta Function.” Transactions of the

American Mathematical Society 27.1 (1925): 49. Print.

[5] Lehmer, D. H. “Extended Computation of the Riemann Zeta-function.” Mathe-

matika 3.02 (1956): 102. Print.

[6] Lehmer, D. H. “On the Roots of the Riemann Zeta-function.” Acta Mathematica

95.1 (1956): 291-98. Print.

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