English

$ S $-unit values of $ G_n + G_m $ in function fields

Number Theory 2023-05-09 v1

Abstract

In this paper we consider a simple linear recurrence sequence Gn G_n defined over a function field in one variable over the field of complex numbers. We prove an upper bound on the indices n n and m m such that Gn+Gm G_n + G_m is an S S -unit. This is a function field analogue of already known results in number fields.

Cite

@article{arxiv.2111.05085,
  title  = {$ S $-unit values of $ G_n + G_m $ in function fields},
  author = {Sebastian Heintze},
  journal= {arXiv preprint arXiv:2111.05085},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-24T07:32:07.743Z