Erdos-Turan with a moving target, equidistribution of roots of reducible quadratics, and Diophantine quadruples

Greg Martin, Scott Sitar

A Diophantine $m$-tuple is a set $A$ of $m$ positive integers such that $ab+1$ is a perfect square for every pair $a,b$ of distinct elements of $A$. We derive an asymptotic formula…