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)
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+.

Additional Information

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

Email this document to