J. Worrell

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20242026

most citedOn the Decidability of Monadic Theories of Arithmetic Predicates

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2025

Transcendence for Pisot Morphic Words over an Algebraic Base

Pavol Kebis, Florian Luca, Joel Ouaknine +2

It is known that for a uniform morphic sequence $u = ⟨ u_{n} ⟩_{n = 0}^{\infty}$ and an algebraic number $I^^{2}$ such that $∣ I^^{2} ∣ > 1$ , the number $[\![\boldsymbol{u} ]\…

math.NT2024

Transcendence of Hecke-Mahler Series

Florian Luca, Joel Ouaknine, James Worrell

We prove transcendence of the Hecke-Mahler series $\sum_{n=0}^\infty f(\lfloor nÎ¸+Î±\rfloor) Î²^{-n}$, where $f (x) \in Z [x]$ is a non-constant polynomial $I^\pm$ is a real n…