  For a cubic algebraic extension $K$ of $\mathbb{Q}$, the behavior of the
ideal counting function is considered in this paper. Let $a_{K}(n)$ be the
number of integral ideals of the field $K$ with norm $n$. An asymptotic formula
is given for the sum $$ \sum\limits_{n_{1}^2+n_{2}^2\leq
x}a_{K}(n_{1}^2+n_{2}^2). $$
