Pr7 - Project Gaussian integer is a number of a type n + im...

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Project Gaussian integer is a number of a type n + im where n,m Z and i = - 1. We define N ( n + im ) = n 2 + m 2 . We say that Gaussian integer a divides Gaussian integer b if there exists Gaussian integer k such that b = ka . Prove that a) If z 1 and z 2 are Gaussian integers, then N ( z 1 z 2 ) = N ( z 1 ) N ( z 2 ). b) If u and v are Gaussian integers then there exist Gaussian integers
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This note was uploaded on 03/23/2011 for the course MATH 311W taught by Professor Mullen during the Spring '08 term at Penn State.

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