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arXiv:1902.03734 [math.NT]AbstractReferencesReviewsResources

On the Diophantine equations f (x) = g(y)

S. Subburam, J. Tanti

Published 2019-02-11Version 1

The study of finiteness or infiniteness of integer solutions of a Diophantine equation has been considered as a standard problem in the literature. In this paper, for f(x) in Z[x] monic and q1 ,...., qm in Z, we study the conditions for which the Diophantine equatio (y + q1 )(y + q2 ) .... (y + qm ) = f(x) has finitely many solutions in integers. Also assuming ABC Conjecture, we study the conditions for finiteness of integer solutions of the Diophantine equation f(x) = g(y).

Comments: Integer solutions
Categories: math.NT
Subjects: 11D41, 11D45, 11D25, F.2.2, I.2.7
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