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

S. Subburam; J. Tanti

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arXiv · 1902.03734

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

S. Subburam·J. Tanti

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Abstract

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).

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BibTeX RIS

S. Subburam, J. Tanti. 2019-02-11. On the Diophantine equations f (x) = g(y). https://arxiv.org/abs/1902.03734

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