Daniel Berend

Senior Academic

On the equation P(x) = n! and a question of Erdős

Daniel Berend, Charles F. Osgood

Given a polynomial P of degree ≥ 2 with integer coefficients, it is shown that the set of n, for which the equation P(x) = n! has an integer solution x, is of density zero. This answers in particular a question of Erdo{combining double acute accent}s.

Publication language English
Pages 189-193
Journal Journal of Number Theory
Volume 42
Issue number 2
Publication status Published - 01.01.1992

ASJC Scopus subject areas

Algebra and Number Theory