On $k$-abelian equivalence and generalized Lagrange spectra

Jarkko Peltomäki, Markus A. Whiteland · Acta Arithmetica · 2020

We study the set of $k$-abelian critical exponents of all Sturmian words. It has been proven that in the case $k = 1$ this set coincides with the Lagrange spectrum. Thus the sets obtained when $k \gt 1$ can be viewed as generalized Lagrange spectra. We ch

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