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Arithmetic properties of certain recurrence sequences

Published online by Cambridge University Press:  09 April 2009

A. Perelli  and
U. Zannier
A. Perelli
Affiliation:
Scuola Normale Superiore 56100 Pisa, Italy
U. Zannier
Affiliation:
Scuola Normale Superiore 56100 Pisa, Italy
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Abstract

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A classical theorem states that if a polynomial with integral coefficients is an in mth power for every integral value of its argument, then it is the mth power of a polynomial with integral coefficients.

In this paper we deal with analogous problems concerning functions which arise as solutions of recurrence equations with constant coefficients.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 1 , August 1984 , pp. 4 - 16
Copyright
Copyright © Australian Mathematical Society 1984

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