Pregled bibliografske jedinice broj: 616650
Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields
Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields // PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 88 (2012), 10; 163-167 doi:10.3792/pjaa.88.163 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 616650 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields
Autori
Jukić Matić, Ljerka
Izvornik
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES (0386-2194) 88
(2012), 10;
163-167
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine quadruples; cubic fields
Sažetak
In this paper we derive some elements of the rings of integers in the cubic fields of the form $\mathbf{;Q};(\sqrt[3]{;d};)$, where $d$ is even, which cannot be written as a difference of two squares in the considered ring. We show that corresponding Diophantine quadruples do not exist for such elements, what supports the hypothesis mainly proved for the ring of integers and for certain quadratic fields.
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:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
