Algebraic independence of reciprocal sums of binary recurrences

Kumiko Nishioka

doi:10.1007/BF01305968

Algebraic independence of reciprocal sums of binary recurrences

Kumiko Nishioka

Department of Economic

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

11 Citations (Scopus)

Abstract

Algebraic independence of the numbers ∑_{h ≥ 0} h^jζ^h/R_{dh + l}, where {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)	135-148
Number of pages	14
Journal	Monatshefte fur Mathematik
Volume	123
Issue number	2
DOIs	https://doi.org/10.1007/BF01305968
Publication status	Published - 1997 Jan 1

Keywords

Algebraic independence
Mahler's method

ASJC Scopus subject areas

Mathematics(all)

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10.1007/BF01305968

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KW - Mahler's method

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Algebraic independence of reciprocal sums of binary recurrences

Abstract

Keywords

ASJC Scopus subject areas

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