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Jul 9, 2012 at 18:16 comment added Terry Tao Oh, this does look very useful, thanks. Actually, even the more elementary bound $j f_j \leq (d-j+1) f_{j-1}$ coming from double-counting the elements of the downset of cardinality j and j-1 (I may have the normalisations slightly different from your post) may already kill off the problem... I'll have to think about this.
Jul 9, 2012 at 17:23 history answered Christian Stump CC BY-SA 3.0