Improved upper bounds on Diophantine tuples with the property $D(n)$
Improved upper bounds on Diophantine tuples with the property $D(n)$
Let $n$ be a non-zero integer. A set $S$ of positive integers is a Diophantine tuple with the property $D(n)$ if $ab+n$ is a perfect square for each $a,b \in S$ with $a \neq b$. It is of special interest to estimate the quantity $M_n$, the maximum size of a …