Number theory

Number theory is one of the branches of pure mathematics that primarily studies the properties of integers.Integer can be the solution of an equation (Diophantine equation).Some analytic functions(such as Riemann zeta functions) include properties of integers and prime numbers, which can also be used to understand some number theory problems. The relationship between real numbers and rationa numbers can also be established through number theory, and rational numbers can be used to approximate real numbers (Diophantine approximation).