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May 20, 2010 at 22:58 comment added Anweshi I was just giving another reference for Hilbert irreducibility. However if you want to look into effective computations, for example for using it in conjunction with sieve methods, etc., then I do not know any reference other than Serre's Lectures on Mordell-Weil theorem. Please feel free to accept more informative answers instead, if any such turn up later.
May 19, 2010 at 22:42 vote accept Linda Gruendken
May 19, 2010 at 22:32 history answered Anweshi CC BY-SA 2.5