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arXiv · 2103.13619

Asymptotic formula for balanced words

Shigeki Akiyama
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Abstract

We give asymptotic formulas for the number of balanced words whose slope $\alpha$ and intercept $\rho$ lie in a prescribed rectangle. They are related to uniform distribution of Farey fractions and Riemann Hypothesis. In the general case, the error term is deduced using an inequality of large sieve type.

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Shigeki Akiyama. 2021-03-25. Asymptotic formula for balanced words. https://arxiv.org/abs/2103.13619

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