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https://hdl.handle.net/2142/71200
Description
Title
On the Distribution Function of N/phi(n)
Author(s)
Rhoads, Dennis Lynn
Issue Date
1981
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2014-12-16T06:18:02Z
Keyword(s)
Mathematics
Abstract
Let (phi)(n) denote Euler's function and let D(x) denote the distribution function of
(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI)
i.e.,
A method is developed for numerically approximating D(x) based on a series expansion of D(x).
An estimate of the modulus of continuity of D(x) is also established. In this regard, the following result is established.
Theorem. There exists an absolute constant c such that for 0 0 we have
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