Representation of the positive real numbers as sums of colored rational numbers
نویسندگان
چکیده
منابع مشابه
The Representation of Real Numbers
where f(x) is an arbitrary function in the class Ep. Some functions (for example, f(x) =x/p, which leads to the representation of a number as a decimal to the base p) when employed in the algorithm (A) yield one-one correspondences between real numbers and sequences of integers mod p. On the other hand, any function, for example, whose graph has more than one point in common with any of the str...
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A real number x is a Liouville number if to each natural number m there corresponds a rational number hm/krn , with k n,> 1, such that 0 < I x hm/km , < ( 1/km)m Some years ago I showed (possibly jointly with Mahler), that every real number is the sum of two Liouville numbers . A proof of the proposition may now be in the literature, but I do not know of any reference . In any case, the followi...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1992
ISSN: 0097-3165
DOI: 10.1016/0097-3165(92)90044-u