That specific arrangement is called a pi filter. It acts as a low pass:
In this case, the 2500 is in units of nH, and the filter applies 10dB attenuation at ~200 KHz. From the shape of the transfer function, the designer was concerned about rejecting switch mode power supply noise, which would be centered somewhere around 500-1000 KHz.
Depending on what your power supply is, you might choose to change those filter values, or even omit the filter entirely. I might at least try to damp down the resonant peak at 95 KHz, which could be a problem unless your supply is very quiet at that frequency. If you were more concerned about low frequency noise (for example, 60 Hz hum which will not be attenuated at all by this filter), you might even replace it with a linear regulator.
Edit: If you look at the revised circuit, seems they added in damping to remove that resonant peak:
Although now the attenuation is much lower, which makes me wonder if the filter is even needed.