### Volume 14, 2009. 1 - 4. Robert Zeman Integers of the form $a^2 \pm b^2$

Abstract This paper explores which integers can be expressed in the form $a^2 \pm 2b^2$ by using rings of the form $\mathbb{Z}[\sqrt{d}]$, particularly when $d=2$ and $d=-2$.

Furman University Electronic Journal of Undergraduate Mathematics