Algebraic independence of sums of reciprocals of the Fibonacci numbers

Kumiko Nishioka, Taka Aki Tanaka, Takeshi Toshimitsu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Algebraic independence of the numbers ∑lh≥0bh/(Rkdh+l)m, where {Rn}n≥0 is a sequence of integers satisfying a binary linear recurrence relation and {bh}h≥0 is a periodic sequence of algebraic numbers not identically zero, are studied.

Original languageEnglish
Pages (from-to)97-108
Number of pages12
JournalMathematische Nachrichten
Volume202
DOIs
Publication statusPublished - 1999 Jan 1

Keywords

  • Algebraic independence
  • Fibonacci numbers
  • Mahler function

ASJC Scopus subject areas

  • Mathematics(all)

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