Abstract
We prove a folklore conjecture concerning the sum-of-digits functions in bases two and three: there are infinitely many positive integers n such that the sum of the binary digits of n equals the sum of the ternary digits of n.
| Original language | English |
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| Number of pages | 20 |
| Journal | Israel journal of mathematics |
| Publication status | Accepted/In press - 2022 |
Keywords
- sum-of-digits function
- digital expansions in different bases