IMPROVED UPPER BOUNDS ON DIOPHANTINE TUPLES WITH THE PROPERTY $D(n)$
IMPROVED UPPER BOUNDS ON DIOPHANTINE TUPLES WITH THE PROPERTY $D(n)$
Abstract Let n be a nonzero 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 …