Sets of exact approximation order by rational numbers

Sets of exact approximation order by rational numbers
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DOI:
10.1007/s00208-003-0445-6
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发表时间:
2003-05
影响因子:
1.4
通讯作者:
Y. Bugeaud
Y. Bugeaud
中科院分区:
数学2区
文献类型:
--
作者:
Y. Bugeaud

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设:R>→R>是一个递减函数,使得x→x2(x)是非递增的。1924年,Khintchine[13](参见他的著作[14])利用连分式理论证明了可逼近实数集
Let: R> 0→ R> 0 be a decreasing function such that x↦→ x2(x) is nonincreasing. In 1924, Khintchine [13](see also his book [14]) used the theory of continued fractions to prove that the set of-approximable real numbers