The classical class invariants of Weber are introduced as quotients of Thetanullwerte, enabling the computation of these invariants more efficiently than as quotients of values of the Dedekind η-function. We show also how to compute the unit group of suitable ring class fields by means of proving the fact that most of the invariants introduced by Weber are actually units in the corresponding ri...

Swin,,ory.-A genenil time-domsin definition of reo'pmdry ir given in terms of network-pon vxiables, and this dcfmilion i? npptied to eoncludc the symmetry of ncnvork mnuicrr, even in the ua~. of amvc, nonfrrurc networks. A new proof is presented of the rmpraclry of Gnllr. nrworkr composed of ttrnc-invarimt rnirtors, apantors, inductors and transformma, and this proof is also applied to show the...