Density of integers which are discriminants of cyclic fields of odd prime degree (Q704967)

Let \(q\) be an odd prime. The authors obtain an asymptotic formula for the number of integers \(\leq x\) which are product of distinct primes \(\equiv1\bmod\;q\). This is used to show that the number of discriminants \(\leq x\) of cyclic fields of degree \(q\) is asymptotically equal to \(E(q)x/\log^cx\) with a rather complicated constant \(E(q)\) and \(c=(q-2)/(q-1)\).