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Pregled bibliografske jedinice broj: 832982

More on Diophantine sextuples

Dujella, Andrej; Kazalicki, Matija
More on Diophantine sextuples // Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday / Elsholtz, C. ; Grabner, P. (ur.).
Berlin: Springer, 2017. str. 227-235 doi:10.1007/978-3-319-55357-3_11

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Naslov
More on Diophantine sextuples

Autori
Dujella, Andrej ; Kazalicki, Matija

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday

Urednik/ci
Elsholtz, C. ; Grabner, P.

Izdavač
Springer

Grad
Berlin

Godina
2017

Raspon stranica
227-235

ISBN
978-3-319-55356-6

Ključne riječi
Diophantine sextuples ; elliptic curves

Sažetak
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, Gibbs found the first example of a rational Diophantine sextuple, and Dujella, Kazalicki, Mikić and Szikszai recently proved that there exist infinitely many rational Diophantine sextuples. In this paper, generalizing the work of Piezas, we describe a method for generating new parametric formulas for rational Diophantine sextuples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
ZCI QuantiXLie

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Matija Kazalicki (autor)

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi link.springer.com doi.org

Citiraj ovu publikaciju:

Dujella, Andrej; Kazalicki, Matija
More on Diophantine sextuples // Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday / Elsholtz, C. ; Grabner, P. (ur.).
Berlin: Springer, 2017. str. 227-235 doi:10.1007/978-3-319-55357-3_11
Dujella, A. & Kazalicki, M. (2017) More on Diophantine sextuples. U: Elsholtz, C. & Grabner, P. (ur.) Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday. Berlin, Springer, str. 227-235 doi:10.1007/978-3-319-55357-3_11.
@inbook{inbook, author = {Dujella, Andrej and Kazalicki, Matija}, year = {2017}, pages = {227-235}, DOI = {10.1007/978-3-319-55357-3\_11}, keywords = {Diophantine sextuples, elliptic curves}, doi = {10.1007/978-3-319-55357-3\_11}, isbn = {978-3-319-55356-6}, title = {More on Diophantine sextuples}, keyword = {Diophantine sextuples, elliptic curves}, publisher = {Springer}, publisherplace = {Berlin} }
@inbook{inbook, author = {Dujella, Andrej and Kazalicki, Matija}, year = {2017}, pages = {227-235}, DOI = {10.1007/978-3-319-55357-3\_11}, keywords = {Diophantine sextuples, elliptic curves}, doi = {10.1007/978-3-319-55357-3\_11}, isbn = {978-3-319-55356-6}, title = {More on Diophantine sextuples}, keyword = {Diophantine sextuples, elliptic curves}, publisher = {Springer}, publisherplace = {Berlin} }

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