Pregled bibliografske jedinice broj: 722835
Quadratic approximation in Qp
Quadratic approximation in Qp // International Journal of Number Theory, 11 (2015), 1; 193-209 doi:10.1142/S1793042115500128 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 722835 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quadratic approximation in Qp
Autori
Bugeaud, Yann ; Pejković, Tomislav
Izvornik
International Journal of Number Theory (1793-0421) 11
(2015), 1;
193-209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine approximation; continued fraction; p-adic numbers
Sažetak
Let p be a prime number. Let w2 and w2* denote the exponents of approximation defined by Mahler and Koksma, respectively, in their classifications of p-adic numbers. It is well-known that every p-adic number ξ satisfies w2*(ξ) <= w2(ξ) <= w2*(ξ)+1, with w2*(ξ)=w2(ξ)=2 for almost all ξ. By means of Schneider's continued fractions, we give explicit examples of p-adic numbers ξ for which the function w2-w2* takes any prescribed value in the interval (0, 1].
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:
Tomislav Pejković
(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
