Collisions of digit sums in bases 2 and 3

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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 languageEnglish
Pages (from-to)475–502
Number of pages28
JournalIsrael journal of mathematics
Volume258.2023
Issue numberDecember
DOIs
Publication statusPublished - 13 Mar 2023

Keywords

  • sum-of-digits function
  • digital expansions in different bases

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