Given two positive integers $a,b$, we discuss the diophantine equation $f(a^m,y)=b^n$, to be solved in integers $(m,n,y)$. When $a,b$ are not coprime, we obtain a full characterization of the cases when the set of solutions is infinite.
On the diophantine equation $f(a^m,y)=b^n$
CORVAJA, Pietro;
2000-01-01
Abstract
Given two positive integers $a,b$, we discuss the diophantine equation $f(a^m,y)=b^n$, to be solved in integers $(m,n,y)$. When $a,b$ are not coprime, we obtain a full characterization of the cases when the set of solutions is infinite.File in questo prodotto:
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