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Pregled bibliografske jedinice broj: 816139

An upper bound for the number of Diophantine quintuples


Bliznac, Marija; Filipin, Alan
An upper bound for the number of Diophantine quintuples // Bulletin of the Australian Mathematical Society, 94 (2016), 3; 384-394 doi:10.1017/S0004972716000423 (međunarodna recenzija, članak, znanstveni)


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Naslov
An upper bound for the number of Diophantine quintuples

Autori
Bliznac, Marija ; Filipin, Alan

Izvornik
Bulletin of the Australian Mathematical Society (0004-9727) 94 (2016), 3; 384-394

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

Ključne riječi
Diophantine m-tuples ; Pell equations

Sažetak
In this paper we improve the known upper bound for the number of D(4)-quintuples by using the most recent methods that were developed in D(1) case. More precisely, we prove that there are at most 6.8587*10^29 D(4)-quintuples.

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)

Ustanove:
Građevinski fakultet, Zagreb

Poveznice na cjeloviti tekst rada:

doi www.cambridge.org

Citiraj ovu publikaciju:

Bliznac, Marija; Filipin, Alan
An upper bound for the number of Diophantine quintuples // Bulletin of the Australian Mathematical Society, 94 (2016), 3; 384-394 doi:10.1017/S0004972716000423 (međunarodna recenzija, članak, znanstveni)
Bliznac, M. & Filipin, A. (2016) An upper bound for the number of Diophantine quintuples. Bulletin of the Australian Mathematical Society, 94 (3), 384-394 doi:10.1017/S0004972716000423.
@article{article, author = {Bliznac, Marija and Filipin, Alan}, year = {2016}, pages = {384-394}, DOI = {10.1017/S0004972716000423}, keywords = {Diophantine m-tuples, Pell equations}, journal = {Bulletin of the Australian Mathematical Society}, doi = {10.1017/S0004972716000423}, volume = {94}, number = {3}, issn = {0004-9727}, title = {An upper bound for the number of Diophantine quintuples}, keyword = {Diophantine m-tuples, Pell equations} }
@article{article, author = {Bliznac, Marija and Filipin, Alan}, year = {2016}, pages = {384-394}, DOI = {10.1017/S0004972716000423}, keywords = {Diophantine m-tuples, Pell equations}, journal = {Bulletin of the Australian Mathematical Society}, doi = {10.1017/S0004972716000423}, volume = {94}, number = {3}, issn = {0004-9727}, title = {An upper bound for the number of Diophantine quintuples}, keyword = {Diophantine m-tuples, Pell equations} }

Časopis indeksira:


  • 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


Citati:





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