Abstract (EN)
Key Words: Sum of squares, Pytheporian triples, Unique factorization domain. In this thesis, we investigated some Diophant equations. In the first chapter, it is shown that the primes of the form 4n +1, is a sums of two squares. Moreover it is shown that every natural number is a sum of four squares. Second chapter is devoted to the Pythegorion triples. In this chapter it is shown that some Diophant equations has not got a solution. In the thirth chapter, the equation 3 3 3 x + y = z , is considered and it shown that is no solution to this equation. Lastly, in the fourth chapter by considering the unique factorization domain, solutions of Diophant equations are investigated.
Author
Dr. Sündüz Keleş
How to Cite
Sündüz Keleş (Master Thesis). Diophant equations, 2007, Sakarya University.
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