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On the diophantine equation F \(\left( {\left( {_n^x } \right)} \right) = b\left( {_m^y } \right)\)

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Abstract

As a generalization of the results of [3] and [22], we characterize those pairs (m,n) and those polynomials b{Z}[x] of prime degree for which equation (1) has only finitely many integer solutions.

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Authors and Affiliations

  1. Number Theory Research Group of the Hungarian Academy of Sciences, Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary

    Cs. Rakaczki

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Rakaczki, C. On the diophantine equation F \(\left( {\left( {_n^x } \right)} \right) = b\left( {_m^y } \right)\) . Period Math Hung 49, 119–132 (2004). https://doi.org/10.1007/s10998-004-0527-6

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  • DOI: https://doi.org/10.1007/s10998-004-0527-6

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