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math.NT2001
Diophantine Quadruples and Cayley's Hyperdeterminant
Philip Gibbs
A famous problem posed by Diophantus was to find sets of distinct positive rational numbers such that the product of any two is one less than a rational square. Such Diophantine se…
math.NT1999
A Generalised Stern-Brocot Tree from Regular Diophantine Quadruples
Philip Gibbs
Diophantine quadruples are sets of four distinct positive integers such that the product of any two is one less than a square. All known examples belong to an infinite set which ca…
math.NT1999
Some Rational Diophantine Sextuples
Philip Gibbs
A famous problem posed by Diophantus was to find sets of distinct positive rational numbers such that the product of any two is one less than a rational square. Some sets of six su…