Sums and products of continued fractions
Abstract: It is proved that every real number is representable as a sum of two real numbers each of which has a fractional part whose continued fraction expansion contains no partial quotient less than 2, and that every real number not less than one is representable as a product of two real numbers with the same property.
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Keywords: Continued fractions, Cantor sets, sums of sets
Article copyright: © Copyright 1971 American Mathematical Society