More on consecutive multiplicatively dependent triples of integers
Abstract
In this paper, we extend recent work of the third author and Ziegler on triples of integers ( a , b , c ) , with the property that each of ( a , b , c ) , ( a + 1 , b + 1 , c + 1 ) and ( a + 2 , b + 2 , c + 2 ) is multiplicatively dependent , completely classifying such triples in case a = 2 . Our techniques include a variety of elementary arguments together with more involved machinery from Diophantine approximation.
Fields of Study & Subjects
Analytic Number Theory Research
graph theory and CDMA systems
Advanced Mathematical Theories
Publication details
- Journal / source
- Journal de Théorie des Nombres de Bordeaux
- Volume
- 38
- Issue
- 1
- Pages
- 179–222
- Publication date
- 24 April 2026
- Language
- EN