Abstract
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 language | Undefined/Unknown |
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Journal | International series of numerical mathematics |
Publication status | Published - 3 Aug 2020 |
Keywords
- math.NT