Abstract

1. Intro&ction Much work has been done on obtaining estimates from below for the greatest prime factors of the terms of certain sequences of integers. Let P(W) denote the greatest prime factor of nz and letf(x) be any irreducible polynomial with degree > 1 and integer coefficients. It can easily be deduced from Siegel’s work [& 121 that P(f (x)) + w as x 3 co and recently Sprindzhuk and Kotov [7], using deep techniques of Baker, have shown that indeed

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