The Diophantine equation

Author:
Todd Cochrane

Journal:
Proc. Amer. Math. Soc. **109** (1990), 573-577

MSC:
Primary 11D41

DOI:
https://doi.org/10.1090/S0002-9939-1990-1019271-X

MathSciNet review:
1019271

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Abstract: Let be polynomials over of degrees and respectively and with leading coefficients . Suppose that and that is the th power of a rational number. We give two elementary proofs that the equation has at most finitely many integral solutions unless for some polynomial with rational coefficients taking integral values at infinitely many integers.

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DOI:
https://doi.org/10.1090/S0002-9939-1990-1019271-X

Article copyright:
© Copyright 1990
American Mathematical Society