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)
How to cite:
Cox, D.; Ghosh, S.; Sultanow, E. Euler's Totient Function, the Mangoldt Function, and a Sequence of Mertens Function Values. Preprints2021, 2021070428. https://doi.org/10.20944/preprints202107.0428.v2
Cox, D.; Ghosh, S.; Sultanow, E. Euler's Totient Function, the Mangoldt Function, and a Sequence of Mertens Function Values. Preprints 2021, 2021070428. https://doi.org/10.20944/preprints202107.0428.v2
Cox, D.; Ghosh, S.; Sultanow, E. Euler's Totient Function, the Mangoldt Function, and a Sequence of Mertens Function Values. Preprints2021, 2021070428. https://doi.org/10.20944/preprints202107.0428.v2
APA Style
Cox, D., Ghosh, S., & Sultanow, E. (2021). Euler's Totient Function, the Mangoldt Function, and a Sequence of Mertens Function Values. Preprints. https://doi.org/10.20944/preprints202107.0428.v2
Chicago/Turabian Style
Cox, D., Sourangshu Ghosh and Eldar Sultanow. 2021 "Euler's Totient Function, the Mangoldt Function, and a Sequence of Mertens Function Values" Preprints. https://doi.org/10.20944/preprints202107.0428.v2
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) can be used to define the summatory totient function and the summatory Mangoldt function (the second Chebyshev function).
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.
Commenter: Sourangshu Ghosh
Commenter's Conflict of Interests: Author