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B-free numbers in short arithmetic progressions

✍ Scribed by Emre Alkan; Alexandru Zaharescu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
257 KB
Volume
113
Category
Article
ISSN
0022-314X

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✦ Synopsis

Given a sequence B of relatively prime positive integers with the sum of inverses finite, we investigate the problem of finding B-free numbers in short arithmetic progressions.

πŸ“œ SIMILAR VOLUMES

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## Abstract The class of all ordinal numbers can be partitioned into two subclasses in such a way that neither subclass contains an arithmetic progression of order type Ο‰, where an arithmetic progression of order type Ο„ means an increasing sequence of ordinal numbers (ß + δγ)Ξ³<Ξ³<>r, Ξ΄ β‰  0.