I'm still unclear on what the RiemannZeta function is  anyone explain it to me?
Edit: I know the graph is of the RiemannZeta function, but the mouseover says "The graph is of" and nothing else. What?
0113: "RiemannZeta"
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The alttext 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 alttext* Better!
The RiemannZeta 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.
The RiemannZeta 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
 Posts: 97
 Joined: Fri Apr 21, 2006 5:39 pm UTC
Re: RiemannZeta discussion
The RiemannZeta 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.

 Posts: 1
 Joined: Thu Sep 11, 2008 9:27 am UTC
Re: RiemannZeta 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.
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.
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