Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

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

Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In This paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbersΣ^∞_n=1F^-2s_2n and second, for sums of evenly even and unevenly even typesΣ^∞_n=1F^-2s_4nΣ^∞_n=1F^-2s_4n-2.The numbersΣ^∞_n=1F^-2_4n-2.

Original language	English
Pages (from-to)	173-200
Number of pages	28
Journal	Fundamental and Applied Mathematics
Volume	16
Issue number	5
Publication status	Published - 2010 Dec 1

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

Cite this

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N2 - In This paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbersΣ∞n=1F-2s2n and second, for sums of evenly even and unevenly even typesΣ∞n=1F-2s4nΣ∞n=1F-2s4n-2.The numbersΣ∞n=1F-24n-2.

AB - In This paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbersΣ∞n=1F-2s2n and second, for sums of evenly even and unevenly even typesΣ∞n=1F-2s4nΣ∞n=1F-2s4n-2.The numbersΣ∞n=1F-24n-2.

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Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

Abstract

ASJC Scopus subject areas

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