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National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Norm-euclidean quadratic extensions of the field of rational numbers
 Zemková, Kristýna ; Šaroch, Jan (advisor) ; Příhoda, Pavel (referee)
The goal of this work is to characterize all norm-euclidean quadratic ex- tensions of Q. The work treats completely the part of imaginary quadratic extensions. In the case of real quadratic extensions, we give a list of such dis- criminants D that the field Q( √ D) is norm-euclidean. Furthermore, we prove an estimate D < 214 for all norm-euclidean fields Q( √ D). Subsequently, the case D ≡ 1 (mod 4) is discussed in detail. For the case D ≡ 1 (mod 4) we mention references to the results of other authors. 1
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