Well, I've just perused a Stereophile review of the Paradigm Studios V3. The impedance dip is right at 100 Hz or so. They demand an amplifier which can provide sufficient current. This means a strong reliable power supply, either linear or of the switching type.
It seems obvious that the Yamaha RX-Z1 receiver is unable to adequately drive those loudspeakers. If it has preamp-outs, then the solution would be to drive them with a more powerful external amp. You have to make sure that the new amp will be able to handle the low impedance load.
If the OP doesn't want to spend an outrageous sum for the external amps, my suggestion would be to go for a good pro audio amp, such as a QSC, which is available at an affordable price. For instance, the RMX850a would be good and the DCA 1222 is even better but more expensive. This DCA Series amp can drive an impedance of 1.6 ohms. Those amps have variable speed fans; if you're sitting too close, there is a possibility that you might hear it. This also depends on what type of music and how loud someone listens to it etc.