A bias parity question for Sturmian words
classification
🧮 math.NT
keywords
biasdivisorsparitysturmianwordsanalyzeassociatedasymptotic
read the original 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.
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