Algebraic independence of reciprocal sums of binary recurrences

Kumiko Nishioka

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Algebraic independence of the numbers ∑h ≥ 0 hjζh/Rdh + l, where {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)135-148
Number of pages14
JournalMonatshefte fur Mathematik
Volume123
Issue number2
Publication statusPublished - 1997

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Linear Recurrence Relation
Algebraic Independence
Recurrence
Binary
Integer

Keywords

  • Algebraic independence
  • Mahler's method

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

In: Monatshefte fur Mathematik, Vol. 123, No. 2, 1997, p. 135-148.

Research output: Contribution to journalArticle

Nishioka, Kumiko. / Algebraic independence of reciprocal sums of binary recurrences. In: Monatshefte fur Mathematik. 1997 ; Vol. 123, No. 2. pp. 135-148.
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