Linear Equations with the Euler Totient Functions
Loading...
Authors
Luca, Florian
Stănică, Pantelimon
Subjects
Advisors
Date of Issue
2007
Date
Publisher
Language
Abstract
In this paper, we investigate linear relations among the Euler function of nearby integers. In particular, we study those positive integers n such that 0(n) = o(n-1) + (n-2), where 0 is the Euler function. We pove that they form a set of symptotic density zerro. We also show that the sum of the reciprocals of the prime values of n with the above property is a convergent series.
Type
Article
Description
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Acta Arithmetica 128:2 (2007), 135-147.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.