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Quadratic approximation in Qp (CROSBI ID 210185)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bugeaud, Yann ; Pejković, Tomislav Quadratic approximation in Qp // International Journal of Number Theory, 11 (2015), 1; 193-209. doi: 10.1142/S1793042115500128

Podaci o odgovornosti

Bugeaud, Yann ; Pejković, Tomislav

engleski

Quadratic approximation in Qp

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].

Diophantine approximation; continued fraction; p-adic numbers

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Podaci o izdanju

11 (1)

2015.

193-209

objavljeno

1793-0421

10.1142/S1793042115500128

Povezanost rada

Matematika

Poveznice
Indeksiranost