On a divisor problem in arithmetic progressions
β Scribed by Werner Georg Nowak
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 282 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Se be a countably family of in&rite subsets of nonnegative integers. Using a diagonal argumpnt it is straight forward to select for each XE& an infinite subset S(X) r~ X such that the family (S(X) 1 XE Se) is disjoint. Also, there exists a mapping A :N --, N such that for every XE & and i EN the
~roughout this paper we use the following notatians: The cardinality of the finite set Y is denoted by ISI -.s& B8, . I s den&e finite or infinite sets of positive integers. If & is a finite or infinite set of positive integers, then S(d) denotes the set of the distinct positive integers n that can