Tag Archives: Gauss

Gauss Lemma Proof

There are two related results that are commonly called “Gauss Lemma”. The first is that the product of primitive polynomial is still primitive. The second result is that a primitive polynomial is irreducible over a UFD (Unique Factorization Domain) D, … Continue reading

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Quotient Ring of the Gaussian Integers is Finite

The Gaussian Integers are the set of complex numbers of the form , with integers. Originally discovered and studied by Gauss, the Gaussian Integers are useful in number theory, for instance they can be used to prove that a prime … Continue reading

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Carl Friedrich Gauss

Source: http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss Johann Carl Friedrich Gauss (/ɡaʊs/; German: Gauß, pronounced [ɡaʊs] ( listen); Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, algebra, statistics, … Continue reading

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