The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics
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The Riemann Hypothesis, proposed by Bernhard Riemann in
1859, states:
"All non-trivial zeros of the Riemann zeta function have their real part equal to
2
1
."
The Riemann zeta function is defined as:
ζ(s)=
n=1
∑
∞
n
s
1
,for Re(s)>1.
It can be analytically continued to the entire complex plane, except for a simple pole at s=1. The "non-trivial zeros" are those that lie in the critical strip 0