Arithmetic properties of certain recurrence sequences

Author:

Perelli A.,Zannier U.

Abstract

AbstractA 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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