2 papers
math.DS2023
Markoff-Lagrange spectrum of one-sided shifts
Hajime Kaneko, Wolfgang Steiner
For the Lagrange spectrum and other applications, we determine the smallest accumulation point of binary sequences that are maximal in their shift orbits. This problem is trivial f…
math.NT2021
Products of integers with few nonzero digits
Hajime Kaneko, Thomas Stoll
Let be the number of nonzero bits in the binary digital expansion of the integer . We study, for fixed , the Diophantine system $$ s(ab)=k, \quad s(a)=\ell,\qua…