And because of the periodicity of the trigonometric functions, cosine and sine, there are infinitely many **b** values. Each **b** value is unique, and each one is associated with **a = 1/2**. Thus, **s = 1/2 +/- b *i** solves the Riemann zeta function.

We conclude these observations confirm my proof of the Riemann Hypothesis and all empirical evidence which supports the Riemann Hypothesis. Furthermore, all nontrivial zeros of the Riemann zeta function are simple.

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]]>I. Looking at equations one and two above, we see periodicity associated with the variable **b** indirectly and not with the variable **a**. Why?

II. Both variables, **a** and **b**, are of degree one.

What does this information tell us about the solution of equations, one and two, in terms of variables, **a** and **b**?

Hint. We expect all simple zeros, and there’s more … What more can we state factually?

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]]>**1. Σ cos (b * log (k) ) / k^a (from k = 2 to k = ∞) = -1**

and

**2. Σ sin (b * log (k) ) / k^a (from k = 2 to k = ∞) = 0**

where **0 ≤ a ≤ 1**

and where **s = a ± b*i** is a complex number, and **s** is also the nontrivial zero of the Riemann zeta function.

You have two equations, one and two, with two unknowns, **a** and **b**.

What is the solution?

Bonne chance!!

David Cole

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]]>http://www.math10.com/forum/viewforum.php?f=63&sid=af7523d35da441e8abce1b279496d510

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]]>https://www.linkedin.com/in/davidcole11

http://www.ieor.berkeley.edu/~hochbaum/files/ieor269-2010.pdf

http://www.mie.uth.gr/ekp_yliko/qm_engineers.pdf

http://www.math.u-szeged.hu/~hajnal/courses/MSc_Optimalizalas/Tichaschke.pdf

http://www.math.chalmers.se/Math/Grundutb/CTH/tma947/0405/kompendium_sub.pdf

http://biblia.com/verseoftheday/image/Ro8.28

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]]>“Everything counts! Why?

Lord GOD made it, work = matter + energy, that way.

Lord GOD rules to perfection!

Thank GOD! Praise GOD!” 🙂

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]]>