A Note on the Continued Fraction of Minkowski
2017 ◽
Vol 12
(2)
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pp. 125-130
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Keyword(s):
Abstract Denote by Θ1,Θ2, · · · the sequence of approximation coefficients of Minkowski’s diagonal continued fraction expansion of a real irrational number x. For almost all x this is a uniformly distributed sequence in the interval [0, 1/2 ]. The average distance between two consecutive terms of this sequence and their correlation coefficient are explicitly calculated and it is shown why these two values are close to 1/6 and 0, respectively, the corresponding values for a random sequence in [0, 1/2].
1995 ◽
Vol 118
(1)
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pp. 1-5
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1991 ◽
Vol 51
(2)
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pp. 324-330
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2001 ◽
Vol 38
(1-4)
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pp. 97-113
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1988 ◽
Vol 31
(2)
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pp. 197-204
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Keyword(s):
1992 ◽
Vol 53
(1)
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pp. 78-91
Keyword(s):
1991 ◽
Vol 50
(3)
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pp. 481-504
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