Abstract
We analyze a natural parity problem on the divisors associated to Sturmian words. We find a clear bias towards the odd divisors and prove a sharp asymptotic estimate for the average of the difference odd-even function tamed by a weight function, which confirms various experimental results.
Original language | English (US) |
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Article number | 113257 |
Journal | Chaos, solitons and fractals |
Volume | 169 |
DOIs | |
State | Published - Apr 2023 |
Keywords
- Complexity of words
- Dirichlet series
- Sturmian words
ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics