On the image of Euler's totient function
Rodney Coleman (LJK)
TL;DR
This paper investigates the properties of the image of Euler's totient function and explores the structure of the preimages of specific elements within this image.
Contribution
It provides new insights into the structure and properties of the totient function's image and preimages, which were less understood before.
Findings
Characterization of the image of Euler's totient function
Analysis of the preimage structure for certain elements
Identification of properties related to totient values
Abstract
In this article we study certain properties of the image of Euler's totient function; we also consider the structure of the preimage of certain elements of the image of this function.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Mathematics and Applications