합동식과 그 응용에 관한 연구

Abstract

This paper aims at introducing the historical and theoretically basic concept of congruences in number theory, studying on the solutions of polynomial congruence using Fermat's theorem, more generalized Euler's theorem, Wilson's theorem, chinese Remainder theorem, Primitive Roots, and Euler's Criterion, ranging from linear polynomial congruence to higher degree polynomial congruence. And as a primary content, examples of congruence theory applied in a real-life will be discussed.