### 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 1 |

### Keywords

- Algebraic independence
- Binary recurrences
- Mahler's method

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Nishioka, K. (2002). Algebraic independence of reciprocal sums of binary recurrences II.

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