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Zeros of recurrence sequences

Published online by Cambridge University Press:  17 April 2009

A.J. van der Poorten  and
H.P. Schlickewei
A.J. van der Poorten
Affiliation:
School of Mathematics, Physics Computing and Electronics, Macquarie University, NSW 2109, Australia
H.P. Schlickewei
Affiliation:
Abteilung Mathematik, Universität Ulm, Oberer Eselsberg D 7900 Ulm, Germany
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 215 - 223
Copyright
Copyright © Australian Mathematical Society 1991

References

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