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, ab (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.
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics