Pregled bibliografske jedinice broj: 1017022
D(n)-quadruples in the ring of integers of Q(√2, √3)
D(n)-quadruples in the ring of integers of Q(√2, √3) // Mathematica slovaca, 69 (2019), 6; 1263-1278 doi:10.1515/ms-2017-0307 (međunarodna recenzija, članak, znanstveni)
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Naslov
D(n)-quadruples in the ring of integers of Q(√2, √3)
Autori
Franušić, Zrinka ; Jadrijević, Borka
Izvornik
Mathematica slovaca (0139-9918) 69
(2019), 6;
1263-1278
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine quadruples ; bicyclic biquadratic fields ; difference of squares
Sažetak
Let 𝓞𝕂 be the ring of integers of the number field 𝕂 = Q(√2, √3). A D(n)-quadruple in the ring 𝓞𝕂 is a set of four distinct non-zero elements {;z1, z2, z3, z4}; ⊂ 𝓞𝕂 with the property that the product of each two distinct elements increased by n is a perfect square in 𝓞𝕂. We show that the set of all n ∈ 𝓞𝕂 such that a D(n)-quadruple in 𝓞𝕂 exists coincides with the set of all integers in 𝕂 that can be represented as a difference of two squares of integers in 𝕂.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
ZCI QuantiXLie
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
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
