Integers representable as differences of linear recurrence sequences

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Let $\{U_n\}_{n \geq 0}$ and $\{V_m\}_{m \geq 0}$ be two linear recurrence sequences. We establish an asymptotic formula for the number of integers $c$ in the range $[-x, x]$ which can be represented as differences $ U_n - V_m$. In particular, the density of such integers is $0$.
Original languageUndefined/Unknown
JournalInternational series of numerical mathematics
Publication statusPublished - 3 Aug 2020


  • math.NT

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