论文标题

强有理性的双苯胺D(Q) - 陷阱

Strong rational Diophantine D(q)-triples

论文作者

Dujella, Andrej, Paganin, Matteo, Sadek, Mohammad

论文摘要

我们表明,对于无限的许多无正方形整数q,存在无限的许多有理数{a,b,c}的三元组,使得a^2 + q,b^2 + q,b^2 + q,c^2 + q,ab + q,ac + q,ac + q和bc + q是有理数的正方形。

We show that for infinitely many square-free integers q there exist infinitely many triples of rational numbers {a, b, c} such that a^2 + q, b^2 + q, c^2 + q, ab + q, ac + q and bc + q are squares of rational numbers.

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