Non-trivial zeros refer to the complex numbers that are solutions to the Riemann zeta function, specifically the zeros that lie in the critical strip where the real part is between 0 and 1. These zeros play a significant role in understanding the distribution of prime numbers, as they are intimately linked to the Riemann Hypothesis, which posits that all non-trivial zeros lie on the critical line where the real part equals 1/2.
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