Mathematics of Computation, Vol. 77, No. 261 (Jan., 2008), pp. 589-607 (19 pages) We describe a new subquadratic left-to-right GCD algorithm, inspired by Schönhage's algorithm for reduction of binary ...

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 ...