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DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY(2022)

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Abstract
We give effective finiteness results for the power values of polynomials with coefficients composed of a fixed finite set of primes; in particular, of Littlewood polynomials.
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Key words
integers composed of fixed primes, polynomials with restricted coefficients, hyperelliptic and superelliptic Diophantine equations, the Schinzel-Tijdeman equation
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