Pregled bibliografske jedinice broj: 20603
On the exceptional set in the problem of Diophantus and Davenport
On the exceptional set in the problem of Diophantus and Davenport // Applications of Fibonacci numbers ; Vol. 7 / Bergum, G E ; Horadam, A F ; Philippou, A N (ur.).
Dordrecht: Kluwer Academic Publishers, 1998. str. 69-76
CROSBI ID: 20603 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the exceptional set in the problem of Diophantus and Davenport
Autori
Dujella, Andrej
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Applications of Fibonacci numbers ; Vol. 7
Urednik/ci
Bergum, G E ; Horadam, A F ; Philippou, A N
Izdavač
Kluwer Academic Publishers
Grad
Dordrecht
Godina
1998
Raspon stranica
69-76
ISBN
978-079235022
Ključne riječi
problem of Diophantus
Sažetak
It is known that if an integer n is not of the form 4k + 2 and n is not an element of the set S = {;-4, -3, -1, 3, 5, 8, 12, 20}; ; , then there exists at least one Diophantine quadruple with the property D(n). Our conjecture is that for n in S there does not exist a Diophantine quadruple with the property D(n). In this paper we consider some consequences of this conjecture to the problem of Diophantus for linear polynomials.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037009
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Andrej Dujella
(autor)