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math.NT2023★ 1 cited
Thue--Morse along the sequence of cubes
Lukas Spiegelhofer
The Thue--Morse sequence is an automatic sequence over the alphabet . It can be defined as the binary sum-of-digits function $s:\mathbb N\rightarrow\mat…
math.NT2023
Block occurrences in the binary expansion
Bartosz Sobolewski, Lukas Spiegelhofer
The binary sum-of-digits function returns the number of ones in the binary expansion of a nonnegative integer. Cusick's Hamming weight conjecture states that, for all…