**Author(s): ** M. Ayad |

F. Luca**Journal: ** Albanian Journal of Mathematics ISSN 1930-1235

**Volume: ** 3;

**Issue: ** 3;

**Start page: ** 95;

**Date: ** 2009;

Original page**ABSTRACT**

Let $a$ and $b$ be integers such that $x^n+ax+b$ is an irreducible polynomial. We study the number fields ${f Q}[|theta]$,where $heta$ is a root of the above trinomial. We show thatif $nge 5$, then given an algebraic number field ${f K}$of degree $n$, then there are at most finitely many pairs$(a,b)$ such that ${f K}={f Q}[heta]$.

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