A New Unicity Theorem and Erdos' Problem for Polarized Semi-Abelian Varieties

Pietro Corvaja, Junjiro Noguchi

In 1988 P. Erdös asked if the prime divisors of $x^n-1$ for all $n=1,2,>...$ determine the given integer $x$; the problem was affirmatively answered by Corrales-Rodorigáñez and R…