Pregled bibliografske jedinice broj: 148080
Complete solution of the polynomial version of a problem of Diophantus
Complete solution of the polynomial version of a problem of Diophantus // Journal of Number Theory, 106 (2004), 2; 326-344 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 148080 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Complete solution of the polynomial version of a problem of Diophantus
Autori
Dujella, Andrej ; Fuchs, Clemens
Izvornik
Journal of Number Theory (0022-314X) 106
(2004), 2;
326-344
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuples; simulatenous Pellian equation; linear recurring sequences
Sažetak
In this paper, we prove that if {;a, b, c, d}; is a set of four non-zero polynomials with integer coeficients, not all constant, such that the product of any two of its distinct elements plus 1 is a square of a polynomial with integer coeficients, then (a + b − c − d)^2 = 4(ab + 1)(cd + 1). This settles the strong Diophantine quintuple conjecture for polynomials with integer coeficients.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037110
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Andrej Dujella
(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::
- Mathematical Reviews
- Zentralblatt MATH
