Exponential triples

Alessandro Sisto

doi:10.37236/634

Exponential triples

Alessandro Sisto^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	18
Issue number	1
DOIs	https://doi.org/10.37236/634
Publication status	Published - 15 Jul 2011

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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10.37236/634

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AB - 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.

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Exponential triples

Abstract

ASJC Scopus subject areas

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