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Jun 7, 2012 at 12:13 comment added Benjamin Steinberg Thanks Will for thinking about this. Gerry, I will look at Conway's paper.
Jun 7, 2012 at 6:16 comment added Will Sawin So this is one of the ones where you can reduce it to an open research question, which has had multiple papers written about it, which is never very satisfying, but is pretty clearly the best you can do without writing another paper.
Jun 7, 2012 at 5:10 comment added Gerry Myerson Concerning sets of roots of unity summing to zero, reference should be made to Conway and Jones, Trigonometric Diophantine equations (On vanishing sums of roots of unity), Acta Arith. 30 (1976), no. 3, 229–240, MR0422149 (54 #10141).
Jun 7, 2012 at 4:16 history edited Will Sawin CC BY-SA 3.0
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Jun 7, 2012 at 1:45 history answered Will Sawin CC BY-SA 3.0