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math.NT2013
Bounded rational points on curves
Miguel N. Walsh
We establish the sharp estimate <<_d N^{2/d} for the number of rational points of height at most N on an irreducible projective curve of degree d. We deduce this from a result for…
math.NT2013
The algebraicity of ill-distributed sets
Miguel N. Walsh
We show that every set S in [N]^d occupying less than p^t residue classes for some real number t < d and every prime p, must essentially lie in the solution set of a polynomial equ…