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Mathematics of Computation

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A curiosity concerning the representation of integers in noninteger bases


Author: G. W. Stewart
Journal: Math. Comp. 51 (1988), 755-756
MSC: Primary 11A63
DOI: https://doi.org/10.1090/S0025-5718-1988-0930227-4
MathSciNet review: 930227
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Abstract: In this note it is shown how an integer x can be represented uniquely in a noninteger basis provided the "digits" of the representation are allowed to be nonintegers. It is then shown that the integer parts of these "digits" contain all the information necessary to recover x.


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DOI: https://doi.org/10.1090/S0025-5718-1988-0930227-4
Article copyright: © Copyright 1988 American Mathematical Society