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1. INTRODUCTION AND HISTORY. The Gaussian integers are defined to be the set Z[i] = {a + bi : a, b ∈ Z, i = √ −1}. These sit inside the complex numbers C and thus obey the usual rules of addition and multiplication; indeed, despite the presence of the imaginary i, they are quite similar to the " traditional " integers. In fact, in the set Z[i] one can… (More)

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