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Apr 14, 2015 at 8:20 comment added joro The bivariate case is explicitly false as per the linked question.
Apr 12, 2015 at 10:07 comment added joro Asked the same: mathoverflow.net/questions/202695/…
Apr 12, 2015 at 10:06 vote accept joro
Apr 12, 2015 at 9:30 comment added joro Thanks. What about general r,s with the only restriction to depend on both u,v?
Apr 12, 2015 at 8:55 comment added Remke Kloosterman If you take $r,s$ in $\mathbb{C}[u,v]$ homogeneous and of the same degree then Granville's bound seems correct.
Apr 12, 2015 at 8:47 comment added joro Thank you. What about r,s in C[u,v] and both r,s depend on both u,v. Granville's bound is attainable. Is there a counterexample to this?
Apr 12, 2015 at 8:36 history answered Remke Kloosterman CC BY-SA 3.0