Étude d'une classe de fonctions pseudo-aléatoires
Based on a method of H. W. Lenstra Jr. in this note 143 new Euclidean number fields are given of degree and 10 and of unit rank . The search for these examples also revealed several other fields of small discriminant compared with the lower bounds of Odlyzko.
We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete classification results in the positive case.