Robert
Tapehead
From the Beeching article on stacking quads...
You've still got that 2 ohm extreme HF issue - which has been suggested as a reason why valve PP amplification is often preferred.
You can pretty much use whatever amp works well with a single pair on a stacked pair. Robert has pointed out some interesting relationships with his amplifier output and the characteristics of the 57.
Power transfer characteristics.
As amplifier output impedance rises, the power transfer characteristic starts to depart from perfect as you no longer have a pure voltage source.
In effect, the frequency response gets drawn into increasingly mimicking the impedance curve - which is this:
EEK!
Generalising, push-pull valve amps have the lowest output impedance of the tube amp family, though in all but a handful of cases still higher than SS amplifiers.
Therefore those have the least effect on frequency response.
SETS and OTLs usually have many Ohms output impedance and the effect on the ESL57 is similar to applying tonal EQ as per the impedance graph above - so it progressively reduces output with frequency. It will sound warmer, with less brilliance to the sound and fatter bass. Same things happen with most conventional speakers but the ESL is more prone to the effect.
What are we talking in terms of numbers?
Well no more than a couple of dB with most push-pulls but considerably more with other valve amps - you will definitely hear it!
Fortunately a fully working ESL57 treble panel actually has a little lift at the very top (on axis).
If you stack 57s on a single amplifier, these effects grow in magnitude, assuming it can drive them.
Despite the fact that the ESL is a nominally 16 ohm load, you can mitigate these effects by using the 4 ohm transformer tap if you have one - reduces output impedance, though also maximum output voltage swing. No free lunch. Thankfully, power demands up above 10kHz are very low which is why amplifiers that appear less than ideal on paper in terms of ability to drive low loads will often work pretty well.
Hope that helps