ZEKE spectroscopy is based on delayed detection by pulsed field ioniza
tion. It is thereby possible to monitor the time evolution at a given
excitation frequency. Moreover, by varying the depth of detection, one
can harvest different Rydberg series. The qualitative features expect
ed for such a spectrum are discussed. The quantitative theory required
to compute spectra is outlined and applied to the realistic example o
f Na-2(+). The computed spectrum is found to very accurately exhibit t
wo time scales, just as has been observed, with the shorter decay time
being faster for lower Rydberg states. Extensive interseries coupling
is noted.