An Approximation to Riemann Hypothesis
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In the version, there is an improvement on Theorem 1.1, the error term of (1.2) is reduced to \( O(T^{1/3}(\log T)^{7/3}) \), this is achieved mainly by dividing function \( \omega(s,T_1,T_2) \) into two parts, one is dominant, and other one is minor, and the argument of the dominant one is small, so the final result is improved.