engleski

Nonextensibility of the pair {; ; 1, 3}; ; to a Diophantine quintuple in Z[sqrt(-2)]

We show that the Diophantine pair {; ; 1, 3}; ; can not be extended to a Diophantine quintuple in the ring Z[sqrt(-2)]. This result completes the work of the first author and establishes nonextensibility of the Diophantine pair {; ; 1, 3}; ; in Z[sqrt(-d)] for all d in N.

Diophantine m-tuples; Pellian equations

nije evidentirano