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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Pages (from-to) | 475–502 |
Number of pages | 28 |
Journal | Israel journal of mathematics |
Volume | 258.2023 |
Issue number | December |
DOIs | |
Publication status | Published - 13 Mar 2023 |
Keywords
- sum-of-digits function
- digital expansions in different bases