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Nonexistence of $D(4)$-quintuples
- Publication Year :
- 2017
-
Abstract
- 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.<br />Comment: 38 pages; some mistakes corrected, some explanations added
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1704.01874
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jnt.2018.07.013