Sums and products of continued fractions
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- by T. W. Cusick PDF
- Proc. Amer. Math. Soc. 27 (1971), 35-38 Request permission
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.References
- Marshall Hall Jr., On the sum and product of continued fractions, Ann. of Math. (2) 48 (1947), 966–993. MR 22568, DOI 10.2307/1969389
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 35-38
- MSC: Primary 10.31
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269603-3
- MathSciNet review: 0269603