Abstract: | We investigate the multiplicative dependence relations with the values of quadratic integer polynomials at integer points. In particular, we use some elementary identities and the Pell equation in showing that such a relation exists between four values of the polynomial. Partially supported by the Lithuanian State Science and Studies Foundation. Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania. Published in Lietuvos Matematikos Rinkinys, Vol. 38, No. 3, pp. 295–303, July–September, 1998. |