$K=Q(\zeta_n)$ a cyclotomic extension: $p$ splits completely in $K$ if and only if $p\equiv 1\ (mod\ n)$
I don't know how i could prove, I search a kind of cyclotomic reciprocity law
Many thanks
$K=Q(\zeta_n)$ a cyclotomic extension: $p$ splits completely in $K$ if and only if $p\equiv 1\ (mod\ n)$
I don't know how i could prove, I search a kind of cyclotomic reciprocity law
Many thanks