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  Discussion about math, puzzles, games and fun.   Useful symbols: ų ◊ Ĺ √ ∞ ≠ ≤ ≥ ≈ ⇒ Ī ∈ Δ θ ∴ ∑ ∫ ē π É -Ļ ≤ ≥ į

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Topic review (newest first)

noelevans
2013-01-09 06:26:14

Hi therussequilibrium!  smile

You didn't waste my time.  I enjoyed looking up and reading about the Riemann Zeta function.
Quite interesting (and mostly over my head).  Gauss at age 15 came up with the n/ln(n) formula!
He was quite the genius, eh?

Have a blessed day!

therussequilibrium
2013-01-09 00:35:25

I guess it just comes down to that the right side of the equation has to equal one before you can do this? I guess that's it...

therussequilibrium
2013-01-09 00:29:42

Nevermind lol, I have solved my ignorance on my own.

example:

(5)(5)(5)x=1
x=(1/5)*(1/5)*(1/5)

Man I'm retarded, sorry to waste anyone's time.

therussequilibrium
2013-01-08 23:42:04

Okay, I'm confused on something that's probably rather basic but it's really annoying me so a little help would be appreciated.

I'm reading a book and it's going over how the Golden Key was arrived at by basically using the Sieve of Eratosthenes on the Riemann Zeta Function.

And it gets to this point

ζ(s)=1+1/2s+1/3s+1/4s+....
Then you multiply both sides by the fist expression and subtract the new expression by the first expression and you end up hypothetically with something like:

...(1-1/7s)(1-1/5s)(1-1/3s)(1-1/2s)ζ(s)=1

Well hereís the part that just isnít computing to me, itís saying that the next step that was taken was dividing the left side by the right side, fair enough if it ended up being ζ(s)=1/(the entire term that was on the left).

Instead, it says that after dividing the left side by the right side we end up with:
ζ(s)=[(1)/1-1/2s))*((1)/(1-1/3s)]...

This makes absolutely no sense to me, and I tried working it out myself by doing this:
(1/2)(1/2)(1/2) = a; where a obviously is equal to 1/8

and if you divide how it shows to divide, you end up with:
1= (.125/.5)x(.125/.5)x(.125/.5)

And this obviously isnít right, so could someone please explain how this was arrived at correctly?

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