Pregled bibliografske jedinice broj: 722809
Some Diophantine properties of the sequence of S-units
Some Diophantine properties of the sequence of S-units // Journal of number theory, 138 (2014), 48-68 doi:10.1016/j.jnt.2013.10.021 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 722809 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Diophantine properties of the sequence of S-units
Autori
Berczes, Attila ; Dujella, Andrej ; Hajdu, Lajos
Izvornik
Journal of number theory (0022-314X) 138
(2014);
48-68
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
S-unit; integers divisible by fixed primes; continued fraction.
Sažetak
Let S be a finite set of rational primes, and let sn denote the increasing sequence of the positive integers having all their prime factors in S . In this paper we develop a method to explicitly give the gaps in the sequence sn. In other words, for any term sn we can find both sn−1 and sn+1, at least in principle, without enumerating all terms of the sequence. In the case when S contains two fixed primes, we even give an efficient algorithm to find these terms explicitly. Further, we apply our results to prove some Diophantine properties of the sequence sn.
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:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Andrej Dujella
(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
