A decision theorem and solution on indefinite equation such as ax~3+by~3+cz~3=0
Yongchao Luo · Journal of Kaili University · 2009
The discriminance,the solving arithmetic,and the solution numbers of indefinite equation such as axn+byn+czn=0 is a popular issue at home and abroad.Up to now,It has not a perfect result.For the index n=3,this paper applies mold theory to give a decision theorem to discriminate whether the equation has solution and discuss the method of its solution.With the rise and development of modern Cryptography and Coding Theory,the application of Number Theory becomes more and more extensive.It can impulse the application in modern Cryptography and Coding Theory.So that the study on the problem has important theory meaning to develop Number Theory.