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DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)
Published online by Cambridge University Press: 22 February 2022
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.
Keywords
MSC classification
Secondary:
11R09: Polynomials (irreducibility, etc.)
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 106 , Issue 2 , October 2022 , pp. 254 - 263
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
Dedicated to the memory of Andrzej Schinzel
Research supported in part by the Eötvös Loránd Research Network (ELKH), by the NKFIH grants 115479, 128088 and 130909, and the project EFOP-3.6.1-16-2016-00022 co-financed by the European Union and the European Social Fund.
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