For given elements α1, . . . , αk and β belonging to the ring of integers A of a number field we consider the set of all k-tuples (a1, . . . , ak) in ℕk for which ∑i=1k αiβai divides ∑i=1k αizai for any z ∈ A, and prove under some reasonable assumptions that the set of solutions is finite.
ASJC Scopus subject areas
- Applied Mathematics