Monatshefte für Mathematik

, Volume 102, Issue 3, pp 251-257

First online:

On the Oesterlé-Masser conjecture

  • C. L. StewartAffiliated withDepartment of Pure Mathematics, University of Waterloo
  • , R. TijdemanAffiliated withMathematical Institute, University of Leiden

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Letx, y andz be positive integers such thatx=y+z and ged (x,y,z)=1. We give upper and lower bounds forx in terms of the greatest squarefree divisor ofx y z.