, Volume 102, Issue 3, pp 251-257

On the Oesterlé-Masser conjecture

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Abstract

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.

Dedicated to Professor E. Hlawka on the occasion of his seventieth birthday
The research of the first author was supported in part by Grant A3528 from the Natural Sciences and Engineering Research Council of Canada.