Definition:Integer Combination

Definition
Let $$a, b \in \Z$$. Then an integer $$n$$ of the form:

$$n = p a + q b: p, q \in \Z$$

is called an integer combination of $$a$$ and $$b$$.

This is also known as a linear combination of $$a$$ and $$b$$, or integral linear combination of $$a$$ and $$b$$.