B.Y. on Sun, 5 Oct 2003 15:42:36 +0800 (CST)

 Cyclotomic Integer with a Given Norm?

Dear Sirs (and Mesdames):

Can someone tell me if there is a ready and easy way to decide
with PARI whether there exists an integer $a$ in a cyclotomic field
$Q(\zeta_n)$ with a given norm $p$, where $p$ is a prime number?

Thanks for any tips or pointers to knowledge.

Sincerely, Bo-Yin Yang