A bias parity question for Sturmian words
Number Theory
2018-11-16 v1
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.
Cite
@article{arxiv.1811.06509,
title = {A bias parity question for Sturmian words},
author = {Cristian Cobeli and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:1811.06509},
year = {2018}
}
Comments
12 pages and 10 figures