Quadratic approximation in Qp (CROSBI ID 210185)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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