## 0113: "Riemann-Zeta"

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Shoofle
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### 0113: "Riemann-Zeta"

I'm still unclear on what the Riemann-Zeta function is - anyone explain it to me?

Edit: I know the graph is of the Riemann-Zeta function, but the mouseover says "The graph is of" and nothing else. What?

xkcd
Site Ninja
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The alt-text was supposed to list the parameters I used, but because of a typo it got mangled when I posted the comic and I didn't notice. *edits alt-text* Better!

The Riemann-Zeta function is a function that takes a complex number as its input, so you can graph it on the complex plane. It actually OUTPUTS a complex number, so if you want just one graph you might graph the magnitude of the output number (function value).

The biggest unsolved problem in mathematics is where the zeros of that function occurr. There's a hypothesis that says they all occurr along a specific line (which is running to the right and back, parallel to the row of spikey peaks). No one has proven it true or found a counterexample yet.

Frankeinstein
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I am so going to use the two first paragraphs. Hopefully just the two first anyway.

spipper
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### Re: Riemann-Zeta discussion

The Riemann-Zeta function was proposed by Riemann as a way to correct any errors 100% in his formula used to predict how many primes are located before any number on the number line. The graph that you see is the zeros of the function. These value at which the zero occurs is then used to find exactly how many primes there are. the formula is 1/(n^s) where s is a complex number. and n is the number on the number line.

leon.ringchoix
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### Re: Riemann-Zeta discussion

http://xkcd.com/113/

My bro sent me #474, I started at the start, and laughed about 4 times up to 113. so thats ......
http://www.mathwarehouse.com/arithmetic ... tNumer=114
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
laughts=4
primesUpTo(113)=30
4/30 = 0.1333bar laughs per prime

Any hoo, thanks for the strips.