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An Addition Theorem and Its Arithmetical Application

✍ Scribed by Gregory Freiman; Alfred Geroldinger

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
162 KB
Volume
85
Category
Article
ISSN
0022-314X

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✦ Synopsis

We study almost arithmetical multiprogressions, which are defined as certain unions of arithmetical progressions. We prove an addition theorem stating that arbitrary sumsets of such sets are of the same type again. Almost arithmetical multiprogressions appear as sets of lengths in rings of algebraic integers, and the addition theorem will be applied to an arithmetical situation again.

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