Gaussian Integers

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Date

2021

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Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Algebra and Discrete Mathematics

Abstract

Abstract. This memory is formed by three chapters. The first one contains some fundamental and common notions of any integral ring. The concepts related to Gaussian Integers as: units, Gaussian prime, greatest common divisor, factorization and unique factorization of Gaussian integers, Bezout’s identity, … are the subject of the second chapter. The third chapter is devoted to two squares and the solution of the Diophantine equation y2 = x3-1.

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Keywords

Gaussian Integers

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