On transcendence of numbers related to Sturmian and Arnoux-Rauzy words
We consider numbers of the form S_β(u): = ∑_{n=0}^∞ (u_n)/(βⁿ), where u = ⟨u_n⟩_{n=0}^∞ is an infinite word over a finite alphabet and β ∈ ℂ satisfies |β| > 1. Our main contribution is to present a combinatorial criterion on u, called echoing, that implies that S_β(u) is transcendental whenever β...
| Main Authors: | , , , , |
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| Format: | Conference item |
| Language: | English |
| Published: |
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
2024
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