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On the exceptional set in the problem of Diophantus and Davenport


Dujella, Andrej
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


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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:

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada

Citiraj ovu publikaciju:

Dujella, Andrej
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
Dujella, A. (1998) On the exceptional set in the problem of Diophantus and Davenport. U: Bergum, G., Horadam, A. & Philippou, A. (ur.) Applications of Fibonacci numbers ; Vol. 7. Dordrecht, Kluwer Academic Publishers, str. 69-76.
@inbook{inbook, author = {Dujella, Andrej}, year = {1998}, pages = {69-76}, keywords = {problem of Diophantus}, isbn = {978-079235022}, title = {On the exceptional set in the problem of Diophantus and Davenport}, keyword = {problem of Diophantus}, publisher = {Kluwer Academic Publishers}, publisherplace = {Dordrecht} }
@inbook{inbook, author = {Dujella, Andrej}, year = {1998}, pages = {69-76}, keywords = {problem of Diophantus}, isbn = {978-079235022}, title = {On the exceptional set in the problem of Diophantus and Davenport}, keyword = {problem of Diophantus}, publisher = {Kluwer Academic Publishers}, publisherplace = {Dordrecht} }




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