Pregled bibliografske jedinice broj: 233567
A system of relative Pellian equations and a related family of relative Thue equations
A system of relative Pellian equations and a related family of relative Thue equations // International Journal of Number Theory, 2 (2006), 4; 569-590 (međunarodna recenzija, članak, znanstveni)
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Naslov
A system of relative Pellian equations and a related family of relative Thue equations
Autori
Jadrijević, Borka ; Ziegler, Volker
Izvornik
International Journal of Number Theory (1793-0421) 2
(2006), 4;
569-590
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Thue equation; quadratic fields
Sažetak
In this paper we consider the family of systems (2c + 1)U^2 - 2cV^2 = μ and (c - 2)U^2 - cZ^2 = -2μ of relative Pellian equations, where the parameter c and the root of unity μ are integers in the same imaginary quadratic number field. We show that for |c| ≥ 3 only certain values of μ yield solutions of this system, and solve the system completely for |c| ≥ 1544686.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037110
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Prirodoslovno-matematički fakultet, Split
Profili:
Borka Jadrijević
(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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt MATH
