Pillai’s Equation in Polynomials
- Autores: Arturas Dubickas
- Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
- Idioma: inglés
- DOI: 10.1007/s00009-021-01706-8
- Enlaces
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Resumen
Let A, B, C be some nonconstant polynomials with coefficients in a field K of characteristic zero. We prove that the polynomial Pillai equation Ax−By=C has at most one solution in positive integers x, y except for three explicitly described triplets (A,B,C)∈K[t]3 when it has exactly two solutions in (x,y)∈N2.
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