Une formule asymptotique poun...n...x az(n)d(n +1) (Erratum).
Pour assez grand, le nombre de diviseurs premiers de , , a une distribution locale unimodale. Cela confirme une conjecture d’Erdös de 1948.
Let be a quadratic field over the rational field and be the number of nonzero integral ideals with norm . We establish Erdős-Kac type theorems weighted by and of quadratic field in short intervals with . We also get asymptotic formulae for the average behavior of and in short intervals.