@article{GAO2026, 
author = {Li GAO and Xinxin LI},
title = {The solvability of arithmetic function equation              φ              e            (    n    )    =  Z      (          S      L        (    n      )        )      (  e  =          12    )},
year = {2026},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {47},
number = {2},
pages = {38-45},
keywords = {solvability, generalized Euler function, Smarandache LCM function, positive integer solution},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2026.02.006},
doi = {10.19789/j.1004-9398.2026.02.006},
abstract = {Using definition and properties of the generalized Euler function and Smarandache LCM function, this paper discusses the integer solutions problems of equations involving generalized Euler functions              φ              e            (    n    )    =  Z      (          S      L        (    n      )        )    (  e  =  12  ).}
}