The Iwasawa invariants and the higher K-groups associated to real quadratic fields

Abstract

Using fast algorithms, we compute the Iwasawa invariants of {\small $\Bbb{Q}(\sqrt{f},\zeta_p)$} in the range {\small $1 < f < 200$} and {\small $3 \le p < 100,000$}. From these computational results, we obtain concrete information on the higher {\small $K$}-groups of the ring of integers of {\small $\Bbb{Q}(\sqrt{f})$}.