Pregled bibliografske jedinice broj: 379461
Rational Diophantine sextuples with mixed signs
Rational Diophantine sextuples with mixed signs // Proceedings of the Japan Academy Series A Mathematical Sciences, 85 (2009), 4; 27-30 doi::10.3792/pjaa.85.27 (međunarodna recenzija, članak, znanstveni)
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Naslov
Rational Diophantine sextuples with mixed signs
Autori
Dujella, Andrej
Izvornik
Proceedings of the Japan Academy Series A Mathematical Sciences (0386-2194) 85
(2009), 4;
27-30
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine sextuples; elliptic curves
Sažetak
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them is one less than a perfect square. Recently Gibbs constructed several examples of rational Diophantine sextuples with positive elements. In this note, we construct examples of rational Diophantine sextuples with mixed signs. Indeed, we show that such examples exist for all possible combinations of signs.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Andrej Dujella
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts