Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

C. Elsner, S. H. Shimomura, I. Shiokawa

Research output: Contribution to journalArticle

Abstract

In This paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbersΣn=1F-2s2n and second, for sums of evenly even and unevenly even typesΣn=1F-2s4nΣn=1F-2s4n-2.The numbersΣn=1F-24n-2.

Original languageEnglish
Pages (from-to)173-200
Number of pages28
JournalFundamental and Applied Mathematics
Volume16
Issue number5
Publication statusPublished - 2010
Externally publishedYes

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Algebraic Independence
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ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Applied Mathematics
  • Geometry and Topology

Cite this

Elsner, C., Shimomura, S. H., & Shiokawa, I. (2010). Algebraic relations for reciprocal sums of even terms in Fibonacci numbers. Fundamental and Applied Mathematics, 16(5), 173-200.

Algebraic relations for reciprocal sums of even terms in Fibonacci numbers. / Elsner, C.; Shimomura, S. H.; Shiokawa, I.

In: Fundamental and Applied Mathematics, Vol. 16, No. 5, 2010, p. 173-200.

Research output: Contribution to journalArticle

Elsner, C, Shimomura, SH & Shiokawa, I 2010, 'Algebraic relations for reciprocal sums of even terms in Fibonacci numbers', Fundamental and Applied Mathematics, vol. 16, no. 5, pp. 173-200.
Elsner, C. ; Shimomura, S. H. ; Shiokawa, I. / Algebraic relations for reciprocal sums of even terms in Fibonacci numbers. In: Fundamental and Applied Mathematics. 2010 ; Vol. 16, No. 5. pp. 173-200.
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