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 $b$.

Also known as

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

Sources

• George E. Andrews: Number Theory (1971): $\S 2.2$
• Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 12$