Two-parameter families of uniquely extendable Diophantine triples
classification
🧮 math.NT
keywords
triplescontributiondiophantineextendableextensionfamiliesintegersmain
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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(u^2)-triples {K,A^2K+2uA,(A+1)^2K+2u(A+1)} has unique extension to a D(u^2)-quadruple.
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