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[Mathematics]Can anyone explain the Riemann Hypothesis in the simplest way possible?
gpt
At what points does the function y= x^2 - 9 equal zero? The answer is x=+3 and x=-3. What about y=x^2 + 9? There is no real answer, but the imaginary numbers 3i and -3i solve this, where i^2 =-1.

The Riemann zeta function is a much more complicated function, where Zeta(x)=1/1^x + 1/2^x + 1/3^x etc. Zeta(2) is pi^2 /6, for example. Generally though, x can be a complex number (real and imaginary parts) and its output Zeta(x) can also be complex. There is a different form of it (an analytic continuation), if the real part of x is less than one.

Anyway, for negative even integers -2, -4, etc, Zeta(x) is zero. There are also complex numbers for which Zeta is zero, for example Zeta(0.5+i*14.134...) is zero.

The Riemann hypothesis says that besides the negative even integers, every value for which Zeta(x) is zero has a real part of 1/2.