Two-parameter families of uniquely extendable Diophantine triples
Abstract
Let A,K be positive integers and u=-2,-1,1 or 2. The main contribution of the paper is a proof that each of the D(u2)-triples K,A2K+2uA,(A+1)2K+2u(A+1) has unique extension to a D(u2)-quadruple.
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