Article
Version 1
Preserved in Portico This version is not peer-reviewed
The Order of Euler’s Totient Function
Version 1
: Received: 18 July 2021 / Approved: 20 July 2021 / Online: 20 July 2021 (09:26:33 CEST)
Version 2 : Received: 17 August 2021 / Approved: 17 August 2021 / Online: 17 August 2021 (08:22:04 CEST)
Version 2 : Received: 17 August 2021 / Approved: 17 August 2021 / Online: 17 August 2021 (08:22:04 CEST)
How to cite: Cox, D.; Ghosh, S.; Sultanow, E. The Order of Euler’s Totient Function. Preprints 2021, 2021070428. https://doi.org/10.20944/preprints202107.0428.v1 Cox, D.; Ghosh, S.; Sultanow, E. The Order of Euler’s Totient Function. Preprints 2021, 2021070428. https://doi.org/10.20944/preprints202107.0428.v1
Abstract
The Mobius function is commonly used to define Euler’s totient function and the Mangoldt function. Similarly, the summatory Mobius function (the Mertens function) is used to define the summatory totient function and the summatory Mangoldt function (the second Chebyshev function). Analogues of the product formula for the totient function are introduced. An analogue of the summatory totient function with many additive properties is introduced.
Keywords
Mobius function; Mangoldt function; summatory totient function
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
