On the growth of multi-recurrences

Clemens Fuchs*, Sebastian Heintze

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago.

Original languageEnglish
Pages (from-to)489-494
Number of pages6
JournalArchiv der Mathematik
Issue number5
Publication statusPublished - Nov 2022


  • Growth
  • Multi-recurrence
  • S-units

ASJC Scopus subject areas

  • Mathematics(all)

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