TL;DR: In this article, a proof of Riemann Hypothesis and General Riemans Hypothethesis for arithmetic progression is given. And a proof that Goldbach Conjecture and Twin Prime Conjectures are true is provided.
Abstract: In this paper, we first prove Riemann Hypothesis and General Riemann Hypothesis. Then, we improve the result of prime number theorems for arithmetic progression. Finally, we provide a proof that Goldbach Conjecture and Twin Prime Conjecture are true. Thus, we have resolved the Hilbert's Eighth Problem.