The triplication formula for Gauss sums.
We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.
Let and be two different prime integers such that with , and a positive odd square-free integer relatively prime to and . In this paper we investigate the unit groups of number fields .