recurrence sequences

On the Positivity Problem for second-order holonomic sequences
A sequence is holonomic if its terms obey a linear recurrence relation with polynomial coefficients. In this paper we consider the …
G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree, E. C. Sertöz, J. Ouaknine, M. A. Whiteland, J. Worrell
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On the growth of hypergeometric sequences
Hypergeometric sequences obey first-order linear recurrence relations with polynomial coefficients and are commonplace throughout the …
G. Kenison, J. Konieczny, F. Luca, A. Scoones, M. Shirmohammadi, J. Worrell
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Positivity Problems for Reversible Linear Recurrence Sequences
It is a longstanding open problem whether there is an algorithm to decide the Positivity Problem for linear recurrence sequences (LRS) …
G. Kenison, J. Nieuwveld, J. Ouaknine, J. Worrell
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On the Skolem Problem for Reversible Sequences
Given an integer linear recurrence sequence $\langle X_n \rangle$, the Skolem Problem asks to determine whether there is a natural …
G. Kenison
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On Positivity and Minimality for Second-Order Holonomic Sequences
An infinite sequence $\langle u_n \rangle$ of real numbers is holonomic if it satisfies a linear recurrence relation with polynomial …
G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree, J. Ouaknine, M. A. Whiteland, J. Worrell
PDF Cite DOI dagstuhl
On the Skolem Problem and prime powers
The Skolem Problem asks, given a linear recurrence sequence $(u_n)$, whether there exists $n\in\mathbb{N}$ such that $u_n = 0$. In this …
G. Kenison, R. Lipton, J. Ouaknine, J. Worrell
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