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arxiv: 1704.01874 · v4 · pith:ZLPO76GTnew · submitted 2017-04-06 · 🧮 math.NT

Nonexistence of D(4)-quintuples

classification 🧮 math.NT
keywords appliedclassicalconjectureexistgivemethodsnonexistenceprove
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In this paper we prove a conjecture that $D(4)$-quintuple does not exist using both classical and new methods. Also, we give a new version of the Rickert's theorem that can be applied on some $D(4)$-quadruples.

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