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math.NT2024
Binary-ternary collisions and the last significant digit of in base 12
Jean-Marc Deshouillers, Pascal Jelinek, Lukas Spiegelhofer
The third-named author recently proved [Israel J. of Math. 258 (2023), 475--502] that there are infinitely many \textit{collisions} of the base-2 and base-3 sum-of-digits functions…
math.NT2024
Decomposing the sum-of-digits correlation measure
Bartosz Sobolewski, Lukas Spiegelhofer
Let denote the number of ones in the binary expansion of the nonnegative integer . How does behave under addition of a constant ? In order to study the differences…