American Journal of Computational Mathematics

Volume 13, Issue 2 (June 2023)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

Google-based Impact Factor: 0.42  Citations  

Average Probability of an Element Being a Generator in the Cyclic Group

HTML  XML Download Download as PDF (Size: 528KB)  PP. 230-235  
DOI: 10.4236/ajcm.2023.132012    66 Downloads   401 Views  
Author(s)

ABSTRACT

All elements in the cyclic group   are generated by a generator g. The number of generators of  of  , namely   is known to be Euler’s totient function ; however, the average probability of an element being a generator has not been discussed before. Several analytic properties of   have been investigated for a long time. However, it seems that some issues still remain unresolved. In this study, we derive the average probability of an element being a generator using previous classical studies.

Share and Cite:

Tanaka, Y. (2023) Average Probability of an Element Being a Generator in the Cyclic Group. American Journal of Computational Mathematics, 13, 230-235. doi: 10.4236/ajcm.2023.132012.

Cited by

No relevant information.

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.