On a Pair of Diophantine Equations

Sujith Uthsara Kalansuriya Arachchi, Hung Viet Chu, Jiasen Liu +3

For relatively prime natural numbers $a$ and $b$, we study the two equations $ax+by=(a-1)(b-1)/2$ and $ax+by+1=(a-1)(b-1)/2$, which arise from the study of cyclotomic polynomial…