Pregled bibliografske jedinice broj: 835882
Quadratic approximation in the field of p-adic numbers
Quadratic approximation in the field of p-adic numbers // ALANT 3 — Joint Conferences on Algebra, Logic and Number Theory
Będlewo, Poljska, 2014. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Quadratic approximation in the field of p-adic numbers
Autori
Pejković, Tomislav ; Bugeaud, Yann
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
ALANT 3 — Joint Conferences on Algebra, Logic and Number Theory
/ - , 2014, 1-1
Skup
ALANT 3 — Joint Conferences on Algebra, Logic and Number Theory
Mjesto i datum
Będlewo, Poljska, 08.06.2014. - 13.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
p-adic Diophantine approximation ; Mahler's classification ; Koksma's classification ; quadratic approximation
Sažetak
Let p be a prime number. Let w_2 and w_2^* 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 x satisfies w_2^*(x) <=w_2(x)<=w_2^* (x)+1, with w_2^* (x)=w_2(x)=2 for almost all x. By means of Schneider's continued fractions, we give explicit examples of p-adic numbers x for which the function w_2-w_2^* takes any prescribed value in the interval (0, 1].
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Tomislav Pejković
(autor)
