Exponential triples [article]

Alessandro Sisto
2011 arXiv   pre-print
Using ultrafilter techniques we show that in any partition of N into 2 cells there is one cell containing infinitely many exponential triples, i.e. triples of the kind a,b,a^b (with a,b>1). Also, we will show that any multiplicative IP^* set is an "exponential IP set", the analogue of an IP set with respect to exponentiation.
arXiv:1107.3494v1 fatcat:jaunuso2ancddbm7u242cmlib4