Abstract
In this paper, we consider a simple linear recurrence sequence Gn defined over a function field in one variable over the field of complex numbers. We prove an upper bound on the indices n and m such that Gn+Gm is an S-unit. This is a function field analogue of already known results in number fields.
Original language | English |
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Pages (from-to) | 429-437 |
Number of pages | 9 |
Journal | Publicationes Mathematicae |
Volume | 102 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 2023 |
Keywords
- linear recurrences
- S-units
ASJC Scopus subject areas
- General Mathematics