S-unit values of G n + G m in function fields

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)429-437
Number of pages9
JournalPublicationes Mathematicae
Volume102
Issue number3-4
DOIs
Publication statusPublished - 2023

Keywords

  • linear recurrences
  • S-units

ASJC Scopus subject areas

  • General Mathematics

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