Resolution of a nontrivial diophantine equation without reduction methods

Ákos Pintér, Nóra Varga · Publicationes Mathematicae Debrecen · 2011

In this note a non-separable Runge-type diophantine equation related to the equal values of certain combinatorial numbers is solved.The novelty of our approach is avoiding the use of reduction methods, although as a first step we have a huge bound (≈ 10 50000 ) for the solutions.

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