A study of the Riemann Hypothesis from an elementary perspective

This project aims to explain the famous Riemann Hypothesis from an elementary perspective so that undergraduate students with Mathematics background could understand more on this problem. We will first introduce some results in Complex Analysis so that the readers can understand the following chapters. Then, we examine how the functional equations of the Riemann zeta function were created. Next, we will explain the zeros of zeta function and the Riemann Hypothesis. Finally, we will also study the Generalized Riemann Hypothesis and some of its consequences.