turkmath.org

Modular forms are holomorphic functions on the upper half plane that satisfy fundamental symmetry and growth conditions. They have many applications in several branches of mathem- atics and even in physics. Since modular forms are periodic, they are perfect number theoretic objects. Furthermore, the space of modular forms are finite dimensional vector space, hence they are computation-friendly. In this talk, we will introduce modular forms with basic properties and then we will show how one can make computations with them by using Magma Computer Algebra System.