On the Riemann Prime Counting Function

On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 8:09 pm

Keywords: Mathematical Synthesis (Construction) via primes and nontrivial simple zeros of Riemann Zeta Function and Dual Correlation

Reference Relevant Links:

Riemann Prime Counting Function;

Prime-counting function.
Attachments
Riemann's explicit formula using the first 200 non-trivial zeros of the zeta function.gif
Riemann's explicit formula using the first 200 non-trivial zeros of the zeta function.gif (95.83 KiB) Viewed 217 times
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 8:36 pm

A Conjecture of Prime Importance: The unique prime numbers (2, 3, 5, 7, ...) indicate or imply that all nontrivial zeros of the Riemann Zeta Function are simple.

Please prove or disprove our conjecture. Godspeed! :D
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 8:59 pm

Guest wrote:A Conjecture of Prime Importance: The[b] unique prime numbers (2, 3, 5, 7, ...) indicate or imply that all nontrivial zeros of the Riemann Zeta Function are simple.[/b]

Please prove or disprove our conjecture. Godspeed! :D



Another Conjecture of Prime Importance: All nontrivial simple zeros of the Riemann Zeta Function indicate or imply the unique prime numbers (2, 3, 5, 7, ...).

Please prove or disprove our conjecture. Godspeed! :D
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 9:23 pm

Quote of the Day: "Proof is true confidence!" :D
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 9:45 pm

Hmm. The trivial zeros of RZF (Riemann Zeta Function) indicate the even prime number (2) and much more. Right?

The nontrivial simple zeros of RZF indicate or imply the odd prime numbers. Right?
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 10:02 pm

Update:
Guest wrote:Hmm. The trivial zeros of RZF (Riemann Zeta Function) imply or indicate the truth of the Polignac's Conjecture and the even prime number(2), implicitly. Right?

The nontrivial simple zeros of RZF indicate or imply all prime numbers.... Right?
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 10:12 pm

FYI: The trivial zeros of RZF are 0 (implies or indicates the even prime), -2, -4, -6,... Right?
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Re: On the Riemann Prime Counting Function

Postby Guest » Fri Nov 18, 2022 10:31 pm

Guest wrote:FYI: The trivial zeros of RZF are 0 (implies or indicates the even prime), -2, -4, -6,... Right?


Another Quote of the Day: “A journey on a path with heart begins with the first step. Mistakes are common and expected, but friends are rare jewels along the way. Be thankful for all the good there is. Thank Lord GOD! Amen!”
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Re: On the Riemann Prime Counting Function

Postby Guest » Tue Nov 29, 2022 10:41 pm

An Update:

For all primes, the trivial zero of RZF, 0, may imply or indicate

2 - 2 = 0, 3 - 3 = 0, 5 - 5 = 0, 7 - 7 = 0, 11 - 11 = 0 ... Right?

Otherwise, we may be inconsistent in our reasoning. Right?
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