113 citations · 317 across the 70 of their papers we have counts for
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Transcendence of Hecke-Mahler Series
Florian Luca, Joel Ouaknine, James Worrell
We prove transcendence of the Hecke-Mahler series , where is a non-constant polynomial is a real numbe…
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 and an algebraic number such that , the number $[\![\boldsymbol{u} ]\!]…
Twisted rational zeros of linear recurrence sequences
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
We introduce the notion of a twisted rational zero of a non-degenerate linear recurrence sequence (LRS). We show that any non-degenerate LRS has only finitely many such twisted rat…
On the -adic zeros of the Tribonacci sequence
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
In this paper, we refute some conjectures of Marques and Lengyel concerning the -adic valuations of members of the Tribonacci sequence.
On the transcendence of a series related to Sturmian words
Florian Luca, Joël Ouaknine, James Worrell
Let be an algebraic number with and a finite set of algebraic numbers. We study the transcendence of numbers of the form $\sum_{n=0}^\infty \frac{a_n}{b^n…
On Positivity and Minimality for Second-Order Holonomic Sequences
George Kenison, Oleksiy Klurman, Engel Lefaucheux +5
An infinite sequence of real numbers is holonomic (also known as P-recursive or P-finite) if it satisfies a linear recurrence relation with p…