# On Density of Ratio Sets of Powers of Primes

- UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
- Dr. Laszlo Zsilinszky, Professor (Creator)
- Institution
- The University of North Carolina at Pembroke (UNCP )
- Web Site: http://www.uncp.edu/academics/library

**Abstract:** Denote by R+ and N the set of all positive real numbers and the natural numbers,respectively. Let P = {p1, . . . , pn, . . . } be the set of all primes enumerated inincreasing order. Denote by R(A, B) = {a b; a ? A, b ? B} the ratio set of A, B ? R+ and put R(A) = R(A, A) for A ? R+ (cf. [3],[4],[5]). Note that R(A, B) 6= R(B, A) in general, however R(A, B) is dense in R+ if and only if R(B, A) is dense in R+.

On Density of Ratio Sets of Powers of Primes

PDF (Portable Document Format)

117 KB

Created on 11/1/2017

Views: 499

## Additional Information

- Publication
- Nieuw Archief voor Wiskunde Vol. 13
- Language: English
- Date: 1995
- Keywords
- Density, ratio sets, powers of primes.

Email this document to