摘要
讨论了包含广义Euler函数φ_(2)(m)与广义Euler函数φ_(4)(m)以及函数ω(m)的数论函数方程φ_(2)(φ_(4)(m))=2ω(m)的整数解。利用广义Euler函数φ_(2)(m)与广义Euler函数φ_(4)(m)的性质,采用分类分段讨论的方式,得到了其全部正整数解。
The integer solutions of arithmetic function equationφ_(2)(φ_(4)(m))=2(ωm)involving generalized Euler functionφ_(2)(m),generalized Euler functionφ_(4)(m)and functionω(m)were discussed.Using the properties of generalized Euler functionφ_(2)(m)and generalized Euler functionφ_(4)(m),based on the discussion method of classification and segmentation,the all positive integer solutions of it were obtained.
作者
姜莲霞
张四保
傅湧
JIANG Lianxia;ZHANG Sibao;FU Yong(School of Mathematics and Statistics,Kashi University,Kashi 844008,China;School of Mathematical and Computer Science,Yichun University,Yichun 33600,China)
出处
《沈阳大学学报（自然科学版）》
CAS
2022年第6期505-510,共6页
Journal of Shenyang University：Natural Science
基金
新疆维吾尔自治区自然科学基金资助项目(2017D01A13)
新疆维吾尔自治区高校基本科研业务费科研项目(XJEDU2022P088)。
