👉 In mathematics, a generant is a function that can be expressed as an infinite sum of terms involving only integers and powers of 2. Generants are one of the most important tools in number theory and have applications in cryptography, combinatorics, and other fields. Generants play a crucial role in the study of modular arithmetic, specifically in the construction of elliptic curves over finite fields. They are also used in the study of modular forms, which are special functions that arise in various contexts