“We must know; we shall know.” — David Hilbert.
“When the solution is simple, GOD is answering.” — Albert Einstein.
Riemann Hypothesis states that the real part of all nontrivial zeros,
s = a ± b * i,
of the Riemann zeta function equals one-half (a = 1/2) where
Re(s = a ± b * i) = a,
and where the Riemann zeta function is Σ 1/k^s (from k = 1 to k = ∞).
Turing and the Computational Tradition in Pure Mathematics (http://www.computing-conference.ugent.be/file/16).
“… deepest interrelationships in analysis are of an arithmetical nature.” — Hermann Minkowski.
In the simplest sense, the Riemann Hypothesis (RH) confirms for all positive integers, k > 1,
there exists a prime, p, which divides k such that either
p = k
p ≤ k^( 1/2 = a = Re(s = a ± b * i) )
where s is the nontrivial zero of the Riemann zeta function.
Furthermore, only s + s’ = 1 over 0 ≤ a ≤ 1 satisfies the divergent Euler zeta function (Harmonic Series) for which there exists infinitely prime numbers (see Euler’s proof) where a = 1/2.
Hence, s = 1/2 + b * i and s’ = 1/2 – b* i are the only nontrivial zeta zeros of the Riemann zeta function in the interval, 0 ≤ a ≤ 1.
Note: s = a + b * i and s’ = a – b* i are the nontrivial zeta zeros of the Riemann zeta function in the interval, 0 ≤ a ≤ 1.
Therefore, the answer is affirmative.
The Riemann Hypothesis is true! — David Cole.
“If you can’t explain simply, you don’t understand it well enough.” — Albert Einstein.