Overview: This project benchmarks and compares six methods for computing the greatest common divisor (GCD): Euclidean Iterative, Euclidean Recursive, Stein’s Iterative, Stein’s Recursive, Subtraction ...
Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...
Let K be a number field with unit rank at least four, containing a subfield M such that K/M is Galois of degree at least four. We show that the ring of integers of K is a Euclidean domain if and only ...
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