No, no it can't. It was really impressive mathematics (and according to several mathematicians, the formula was left more complex than necessary to make it look more impressive). In theory, it could improve ONE of the dozens of aberrations, but only in the center of the lens, not off-axis.
Not to take anything away from a very impressive intellectual effort, but basically it solved a problem nobody was particularly trying to solve (the stuff about '2,000 year old mystery' was so over-the-top it makes me wonder if the authors were having a bit of fun).