Asymptotic formula for balanced words
Number Theory
2021-03-26 v1 Combinatorics
Dynamical Systems
Abstract
We give asymptotic formulas for the number of balanced words whose slope and intercept 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.
Cite
@article{arxiv.2103.13619,
title = {Asymptotic formula for balanced words},
author = {Shigeki Akiyama},
journal= {arXiv preprint arXiv:2103.13619},
year = {2021}
}