Answer by Myshkin for Euclidean real quadratic fields
The problem of finding explicit Euclidean functions is even more complicated.Usually the euclidean property is proved indirectly, using sieve-theoretic methods (in particular, Wilson's large sieve over...
View ArticleEuclidean real quadratic fields
It is known that, under GRH, a real quadratic field is Euclidean iff it is a UFD. So, assuming the conjecture of Gauss and GRH, we expect that there are infinitely many Euclidean real quadratic fields....
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