### Abstract

In This paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbersΣ^{∞}_{n=1}F^{-2s}_{2n} and second, for sums of evenly even and unevenly even typesΣ^{∞}_{n=1}F^{-2s}_{4n}Σ^{∞}_{n=1}F^{-2s}_{4n-2}.The numbersΣ^{∞}_{n=1}F^{-2}_{4n-2}.

Original language | English |
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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

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## 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.