Home > Mathematica, Mathematics > The Amazing Riemann Hypothesis

The Amazing Riemann Hypothesis

I have very much enjoyed reading the “Prime Numbers and the Riemann Hypothesis” by Barry Mazur and William Stein. This post is homage to this wonderful book. The following is a plot of the function of s: - \sum_{i=1}^{\infty} \cos (\theta _{i}\centerdot log (s))  where \theta_{i} are the imaginary parts of the Riemann Zeta function zeros with real part at 1/2. This is truncated at 1000 terms. The amazing emergence of the primes and power of primes!

 

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Categories: Mathematica, Mathematics
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