Zeros of recurrence sequences

A. J. Van Der Poorten; H. P. Schlickewei

doi:10.1017/S0004972700029646

Zeros of recurrence sequences

A. J. Van Der Poorten, H. P. Schlickewei

Macquarie University Administration Unit

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

24 Citations (Scopus)

Abstract

We give an upper bound for the number of zeros of recurrence sequences defined over an algebraic number field in terms of their order, the degree of their field of definition and the number of prime ideal divisors of the characteristic roots of the sequence.

Original language	English
Pages (from-to)	215-223
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	44
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700029646
Publication status	Published - 1991

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abstract = "We give an upper bound for the number of zeros of recurrence sequences defined over an algebraic number field in terms of their order, the degree of their field of definition and the number of prime ideal divisors of the characteristic roots of the sequence.",

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Zeros of recurrence sequences

Abstract

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