### Abstract

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

Original language | English |
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Pages (from-to) | 123-141 |

Number of pages | 19 |

Journal | Monatshefte fur Mathematik |

Volume | 136 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2002 Jun |

### Fingerprint

### Keywords

- Algebraic independence
- Binary recurrences
- Mahler's method

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Monatshefte fur Mathematik*,

*136*(2), 123-141. https://doi.org/10.1007/s006050200038

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

Research output: Contribution to journal › Article

*Monatshefte fur Mathematik*, vol. 136, no. 2, pp. 123-141. https://doi.org/10.1007/s006050200038

}

TY - JOUR

T1 - Algebraic independence of reciprocal sums of binary recurrences II

AU - Nishioka, Kumiko

PY - 2002/6

Y1 - 2002/6

N2 - 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.

AB - 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.

KW - Algebraic independence

KW - Binary recurrences

KW - Mahler's method

UR - http://www.scopus.com/inward/record.url?scp=0036614430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036614430&partnerID=8YFLogxK

U2 - 10.1007/s006050200038

DO - 10.1007/s006050200038

M3 - Article

AN - SCOPUS:0036614430

VL - 136

SP - 123

EP - 141

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

IS - 2

ER -