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Jul 31, 2013 at 5:10 comment added Krishanu Sankar Thanks for the comment! It turns out there's a counterexample to the statement I gave (courtesy of Bjorn Poonen), but this statement is stronger than what I needed. I started fiddling around with something else involving symmetric polynomials, and I started getting a calculation quite similar to what you've got here, which I think may help out the student.
Jul 28, 2013 at 17:49 history answered Abhinav Kumar CC BY-SA 3.0