Examples of Diophantine Equations
摘要
In this paper we investigate in the Diophantine equations and we mention some contributions of these equations in the development of many area of mathematics. Then, by examples, we present some methods to solve Diophantine equations and for a prime integer p, we give a family \((E_n)\) of these equations that have no solution in \(\mathbb {Z} _p\) but have a solution modulo \(p^n\) for n as large as desired.