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Publishing Language: Chinese | Open Access

Calculation formula of a class of generalized Euler function φ e ( n )

Lianxia JIANG( )Sibao ZHANG
School of Mathematics and Statistics, Kashi University, Kashi Xinjiang 844008
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Abstract

Let φ e ( n ) be generalized Euler function, where e and n are positive integers. The calculation formula of generalized Euler function φ e ( n ) for different values of e is one of the most important contents in the study of the properties of generalized Euler function φ e ( n ) . Aiming at the problem of the calculation formula of the generalized Euler function φ e ( n ) , the accurate calculation formula of the generalized Euler function φ 11 ( n ) was discussed mainly, and he accurate calculation formula of the generalized Euler function φ 11 ( n ) was given for n takes some positive integers. In order to check the accuracy of the given calculation formula, it will be checked in combination with Python programming in the article.

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Journal of Capital Normal University (Natural Science Edition)
Pages 10-15

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Cite this article:
JIANG L, ZHANG S. Calculation formula of a class of generalized Euler function φ e ( n ) . Journal of Capital Normal University (Natural Science Edition), 2025, 46(3): 10-15. https://doi.org/10.19789/j.1004-9398.2025.03.002

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Received: 30 October 2022
Published: 01 June 2025
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2025.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).