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Filtered Arithmetic Mean Measure and Its Applications

✍ Scribed by Zhdanov, D. A.

Book ID
118219912
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
235 KB
Volume
53
Category
Article
ISSN
0040-585X

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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