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Pregled bibliografske jedinice broj: 1011453

Rational Diophantine sextuples with square denominators

Dujella, Andrej; Kazalicki, Matija; Petričević, Vinko
Rational Diophantine sextuples with square denominators // Journal of number theory, 205 (2019), 340-346 doi:10.1016/j.jnt.2019.06.006 (međunarodna recenzija, članak, znanstveni)

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Naslov
Rational Diophantine sextuples with square denominators

Autori
Dujella, Andrej ; Kazalicki, Matija ; Petričević, Vinko

Izvornik
Journal of number theory (0022-314X) 205 (2019); 340-346

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Diophantine sextuples ; elliptic curve

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 in 2016 Dujella, Kazalicki, Miki´c and Szikszai proved that there are infinitely many of them. In this paper, we prove that there exist infinitely many rational Diophantine sextuples such that the denominators of all the elements in the sextuples are perfect squares.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)

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

Profili:

Avatar Url Matija Kazalicki (autor)

Avatar Url Vinko Petričević (autor)

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi arxiv.org www.sciencedirect.com doi.org

Citiraj ovu publikaciju:

Dujella, Andrej; Kazalicki, Matija; Petričević, Vinko
Rational Diophantine sextuples with square denominators // Journal of number theory, 205 (2019), 340-346 doi:10.1016/j.jnt.2019.06.006 (međunarodna recenzija, članak, znanstveni)
Dujella, A., Kazalicki, M. & Petričević, V. (2019) Rational Diophantine sextuples with square denominators. Journal of number theory, 205, 340-346 doi:10.1016/j.jnt.2019.06.006.
@article{article, author = {Dujella, Andrej and Kazalicki, Matija and Petri\v{c}evi\'{c}, Vinko}, year = {2019}, pages = {340-346}, DOI = {10.1016/j.jnt.2019.06.006}, keywords = {Diophantine sextuples, elliptic curve}, journal = {Journal of number theory}, doi = {10.1016/j.jnt.2019.06.006}, volume = {205}, issn = {0022-314X}, title = {Rational Diophantine sextuples with square denominators}, keyword = {Diophantine sextuples, elliptic curve} }
@article{article, author = {Dujella, Andrej and Kazalicki, Matija and Petri\v{c}evi\'{c}, Vinko}, year = {2019}, pages = {340-346}, DOI = {10.1016/j.jnt.2019.06.006}, keywords = {Diophantine sextuples, elliptic curve}, journal = {Journal of number theory}, doi = {10.1016/j.jnt.2019.06.006}, volume = {205}, issn = {0022-314X}, title = {Rational Diophantine sextuples with square denominators}, keyword = {Diophantine sextuples, elliptic curve} }

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::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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