Arithmetic properties of certain recurrence sequences

A. Perelli, U. Zannier
1984 Journal of the Australian Mathematical Society  
A classical theorem states that if a polynomial with integral coefficients is an 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. 1980 Mathematics subject classification (Amer. Math. Soc): 10 A 35. (1) f{n)=lP J {n)a],
doi:10.1017/s1446788700021704 fatcat:c5i5tbj77bg23orz32ibtygity