Integral Points on Hyperelliptic Curves

  title={Integral Points on Hyperelliptic Curves},
  author={Yann Bugeaud and Maurice Mignotte and Samir Siksek and M. Stoll and Szabolcs Tengely},
Such bounds have been improved considerably by many authors, including Sprindžuk [40], Brindza [5], Schmidt [35], Poulakis [32], Bilu [2], Bugeaud [11] and Voutier [51]. Despite the improvements, the bounds remain astronomical and often involve inexplicit constants. In this paper we explain a new method for explicitly computing the integral points on affine models of hyperelliptic curves (1). The method falls into two distinct steps: (i) We give a completely explicit upper bound for the size of… CONTINUE READING


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