On the Eisenstein series

In this work which consists of five sections, Eisenstein series which are intersection of Analysis and Function Theory and Algebra and Number Theory are studied. In the first section, subject is introduced and notions which will be used in the next sections are defined and some properties of them are given. In the second section, Eisenstein series are defined, their Fourier expansions are introduced and some examples are given. In the third section, modular forms are briefly introduced and their connection with the Eisenstein series is studied. In the fourth section, some properties of the zeros of the Eisenstein series are considered. In the fifth and the last section, results for the zeros of the weight two Eisenstein series in the literature are considered. This work is a compilation.