Uniqueness of the Critical Line for Nontrivial Zeros of the Riemann Zeta Function

The zeta function is a special function with wide-ranging applications in mathematics and beyond. In number theory, the zeroes of the zeta function tell us about the distribution of primes. According to Riemman’s hypothesis, all nontrivial zeros are on the critical line.

In this paper, we prove that there is only one line in the critical strip on which all nontrivial zeros lie. Our method is based on a formula that involves the ratios of zeta functions with different arguments. Our method confirms Riemann’s hypothesis. Please find the article here RH-criticalline