Pregled bibliografske jedinice broj: 641170
On Diophantine quintuples and D(-1)-quadruples
On Diophantine quintuples and D(-1)-quadruples // Monatshefte für Mathematik, 175 (2014), 2; 227-239 doi:10.1007/s00605-013-0571-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 641170 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Diophantine quintuples and D(-1)-quadruples
Autori
Elsholtz, Christian ; Filipin, Alan ; Fujita, Yasutsugu
Izvornik
Monatshefte für Mathematik (0026-9255) 175
(2014), 2;
227-239
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine tuples; system of Diophantine equations
Sažetak
In this paper the known upper bound 10^96 for the number of Diophantine quintuples is reduced to 5.32*10^32. The key ingredient for the improvement is that certain individual bounds on parameters are now combined with a more efficient counting of tuples, and estimated by sums over divisor functions. As a side effect, we also improve the known upper bound 4*10^70 for the number of D(-1)-quadruples to 5*10^60.
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)
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Alan Filipin
(autor)
Citiraj ovu publikaciju:
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
