Naslov
Quadratic approximation in Q_p

Autori
Pejković, Tomislav ; Bugeaud, Yann

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Multidimensional Continued Fractions / - , 2013, 1-1

Skup
Multidimensional Continued Fractions

Mjesto i datum
Graz, Austrija, 22.06.2013. - 26.06.2013

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