What are non-trivial zeros in reference to the Riemann Hypothesis?

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The discussion clarifies the concept of non-trivial zeros in relation to the Riemann Hypothesis (RH). Non-trivial zeros refer specifically to the solutions of the Riemann zeta function, ζ(z), that lie on the critical line where the real part of z equals 1/2, excluding the trivial zeros at negative integers. The Riemann Hypothesis posits that all non-trivial zeros have a real part of 1/2, which is crucial for understanding the distribution of prime numbers.

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What exactly do they mean when they say "Non-trvial zeros" in reffrence to the RH?
 
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non trivial solutions to a rhe are solutions that are not trivial or ones that arent zero
 
whatzzupboy said:
What exactly do they mean when they say "Non-trvial zeros" in reffrence to the RH?
Zeros other than the negative integers. The zeroes at negative integers are obvious, and do not effect the interesting properties the other zeroes do.
In other words the RH says
if zeta(z)=0
then
z is a negative integer
or
Re(z)=1/2
that is x=1/2+i y for some real number y
 

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