A finiteness theorem for a class of exponential congruences

Marian Vâjâitu; Alexandru Zaharescu

doi:10.1090/s0002-9939-99-04822-4

A finiteness theorem for a class of exponential congruences

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Abstract

For given elements α₁, . . . , α_k and β belonging to the ring of integers A of a number field we consider the set of all k-tuples (a₁, . . . , a_k) in ℕ^k for which ∑_i=1^k α_iβ^ai divides ∑_i=1^k α_iz^ai for any z ∈ A, and prove under some reasonable assumptions that the set of solutions is finite.

Original language	English (US)
Pages (from-to)	2225-2232
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	8
DOIs	https://doi.org/10.1090/s0002-9939-99-04822-4
State	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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A finiteness theorem for a class of exponential congruences

Abstract

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