On the Magnitude of the Sum of Bases of the Natural Numbers |
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| Authors: | Wierdl Mate |
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| Institution: | Department of Mathematics, University of North Carolina at Chapel Hill Chapel Hill, NC 27599-3250, USA |
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| Abstract: | We construct two bases of the natural numbers B1 and B2, eachof order two, such that (B1 + B2 (n) <n +c/ (log n). For alower estimate, it is proved that if B2 and are two bases, eachof order two, then (B1+B2)(n) > n. Generalisations to sumsof bases of order h > 2 are also given. |
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