A bias parity question for Sturmian words
Abstract
We analyze a natural parity problem on the divisors associated to Sturmian words. We find a clear bias towards the odd divisors and obtain a sharp asymptotic estimate for the average of the difference odd-even function tamed by a mollifier, which proves various experimental results.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.06509
- arXiv:
- arXiv:1811.06509
- Bibcode:
- 2018arXiv181106509C
- Keywords:
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- Mathematics - Number Theory;
- 68R15
- E-Print:
- 12 pages and 10 figures