Algebraic independence of reciprocal sums of binary recurrences II

Kumiko Nishioka

doi:10.1007/s006050200038

Algebraic independence of reciprocal sums of binary recurrences II

Kumiko Nishioka

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

6 Citations (Scopus)

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
Pages (from-to)	123-141
Number of pages	19
Journal	Monatshefte fur Mathematik
Volume	136
Issue number	2
DOIs	https://doi.org/10.1007/s006050200038
Publication status	Published - 2002 Jun
Externally published	Yes

Keywords

Algebraic independence
Binary recurrences
Mahler's method

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s006050200038

Cite this

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abstract = "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.",

keywords = "Algebraic independence, Binary recurrences, Mahler's method",

author = "Kumiko Nishioka",

year = "2002",

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journal = "Monatshefte fur Mathematik",

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KW - Algebraic independence

KW - Binary recurrences

KW - Mahler's method

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JO - Monatshefte fur Mathematik

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ER -

Algebraic independence of reciprocal sums of binary recurrences II

Abstract

Keywords

ASJC Scopus subject areas

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