An addition theorem and its arithmetical application

[摘要] 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. (C) 2000 Academic Press.

[发布日期] 2000-11-01

[关键词] addition theorems;sets of lengths