A study on algebraic number theory and its applications

Current study explains the concept of Algebraic Number Theory and its applications. Study was based on the literature and descriptive in nature. Algebraic number theory is a rich and diverse subfield of abstract algebra and number theory, applying the concepts of number fields and algebraic numbers to number theory to improve upon applications such as prime factorization and primarily testing. In this study, researchers begin with an overview of algebraic number fields and algebraic numbers and then move into some important results of algebraic number theory, focusing on the quadratic, or Gauss reciprocity law.