Quadratic approximation in ℚp
2014 ◽
Vol 11
(01)
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pp. 193-209
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Let p be a prime number. Let w2 and [Formula: see text] 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 [Formula: see text], with [Formula: see text] for almost all ξ. By means of Schneider's continued fractions, we give explicit examples of p-adic numbers ξ for which the function [Formula: see text] takes any prescribed value in the interval (0, 1].
2012 ◽
Vol 148
(3)
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pp. 718-750
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Keyword(s):
1997 ◽
Vol 122
(2)
◽
pp. 193-205
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1994 ◽
Vol 57
(1)
◽
pp. 113-124
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Keyword(s):
2002 ◽
Vol 05
(04)
◽
pp. 555-570
2019 ◽
Vol 155
(11)
◽
pp. 2214-2233
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1941 ◽
Vol 37
(3)
◽
pp. 199-228
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Keyword(s):
Keyword(s):