### Another look at the index formulas of cyclotomic number theory, by Greg W. Anderson

This paper has appeared in J. Number Theory 60 (1996), no. 1, 142-164,
and so the dvi version has been removed. To the cyclotomic number field $K$ generated by the roots of
unity of order $f$
we attach a Galois module which is a hybrid of the Stickelberger
ideal and the group of circular units; this Galois module
also admits interpretation as the universal punctured distribution
of conductor $f$.
We embed our Galois module in another naturally occurring Galois module,
and prove that the index is exactly
the class number of $K$. By avoiding
even-odd splittings and the analytic class number formula, we are able
to avoid the consideration of $\{\pm 1\}$-cohomology groups;
such considerations become
necessary only when making comparisons to the
classical results of Kummer, Hasse, Iwasawa, and Sinnott.

Greg W. Anderson <gwanders@math.umn.edu>