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Riemann zeta function (idea)
See all of Riemann zeta function
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(
idea
)
by
thornton
Sat Feb 17 2001 at 4:16:15
If you look at the first definition for the Zeta function given above, you will notice that given an
argument
of -1, the function produces a sum of the positive
integers
from 1 to
infinity
(1 + 2 + 3 + 4 + ... to infinity!)
Zeta(-1) = -1/12
I am not making this up.
Riemann Hypothesis
The Fall of Centauri Prime
Adven Turing
The sum of an infinite series of positive numbers is negative
trivial roots
Superstring Theory
spherical harmonics
Hilbert Problems
Cryptonomicon
transcendental
unique factorization of polynomials
π
zeta
Apéry's Constant
The Music of the Primes
John Nash
Further Down the Spiral
Bernhard Riemann
Apery
residue
Gödel's theorem
Alan Turing
Identities involving the zeta function
Argand diagram
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