This is the best article I have found on the matter of series/parallel coils used with theremins -
https://dl.dropboxusercontent.com/u/1548721/Theremin/Theremin_Ant_Linea.pdf
(IMO the above article by Thierry should be compulsory reading for anyone engaged in debate about the function of the series inductor - Ok, you may still want to disagree with the conclusions, but IMO it gives a clear picture of the thinking behind the topology, and outstanding insight into its operation in the EW circuit)
Fred.
Ps - Absolutely not wanting to knock Dewsters comments in any way, and in many situations I agree that simpler topologies are better -
But If you already have EW oscillators built and running, I strongly suggest that you dont try to modify these to get them to connect directly to the antenna without the right series antenna inductance - I dont believe this is what Dewster was suggesting, but just want to give this caution in case you think it was!
With the small oscillator (tank) inductance and the large tank capacitance, the EW oscillators will ONLY operate an any satisfactory way if there is the correct inductance between it and the antenna - To get it to operate directly connected to the antenna you will need to reduce the tank capacitance massively (down to perhaps 200pf or less) and hugely increase the inductor (to perhaps 1mH) and deal with other concequences such as the increased resistance of the inductor (lower Q).. Attempting such a modification would be utter folly unless you are well equipped both with test gear and with the required knowledge - and if you have the required knowledge you probably wouldnt modify the EW oscillator to do this, you'd use a different oscillator circuit.
There is another big advantage to staying with the unmodified EW circuit, particularly if you dont have the time or competency to develop your own design - and that is that there is at least one supremely competent EW engineer (yeah, theres only one )-: here on TW who can guide you if you have problems in ways that you will not get for any other theremin.. Ok, IMO he's not always right, and sometimes talks utter nonsense (even about the EW) - But everyone at TW talks nonsense some of the time - its part of the reason were all here!
;-)