Pregled bibliografske jedinice broj: 639561
On D(w)-quadruples in the rings of integers of certain pure number fields
On D(w)-quadruples in the rings of integers of certain pure number fields // Glasnik matematički, 49 (2013), 1; 37-46 (međunarodna recenzija, članak, znanstveni)
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Naslov
On D(w)-quadruples in the rings of integers of certain pure number fields
Autori
Jukić Matić, Ljerka
Izvornik
Glasnik matematički (0017-095X) 49
(2013), 1;
37-46
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine quadruples; pure number fields; cyclic bases
Sažetak
The purpose of this paper is to show the non- existence of D(w)-quadruples in number fields of odd degree whose rings of integers are of the special form. We derive some elements which can not be represented as difference of squares in such rings and comment the non-existence of corresponding Diophantine quadruples. This relies on the non-solvability of system of congruences which we prove in some low-degree cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Ljerka Jukić Matić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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
