The critical line is a vertical line in the complex plane defined by the equation $\text{Re}(s) = \frac{1}{2}$, where $s$ is a complex number. This line plays a significant role in the study of L-functions, particularly in the context of the Riemann Hypothesis, which conjectures that all non-trivial zeros of the Riemann zeta function lie on this line. Understanding the critical line is essential for analyzing the distribution of prime numbers and the behavior of L-functions.
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