Algebraic independence of reciprocal sums of binary recurrences II

Kumiko Nishioka

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Algebraic independence of the numbers ∑h ≥0 bh/Rdh+1 for various d and l, where {bh}h ≥ 0 is a periodic sequence of algebraic numbers and {Rn}n ≥ 0 is a sequence of integers satisfying a binary linear recurrence relation, is studied by Mahler's method.

Original languageEnglish
Pages (from-to)123-141
Number of pages19
JournalMonatshefte fur Mathematik
Volume136
Issue number2
DOIs
Publication statusPublished - 2002 Jun

Fingerprint

Linear Recurrence Relation
Algebraic Independence
Periodic Sequence
Algebraic number
Recurrence
Binary
Integer

Keywords

  • Algebraic independence
  • Binary recurrences
  • Mahler's method

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Algebraic independence of reciprocal sums of binary recurrences II. / Nishioka, Kumiko.

In: Monatshefte fur Mathematik, Vol. 136, No. 2, 06.2002, p. 123-141.

Research output: Contribution to journalArticle

Nishioka, Kumiko. / Algebraic independence of reciprocal sums of binary recurrences II. In: Monatshefte fur Mathematik. 2002 ; Vol. 136, No. 2. pp. 123-141.
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