关于Ramanujan函数的模方程
On the Modular Equation of Ramanujan Function
DOI: 10.12677/pm.2026.167166, PDF,   
作者: 成 鲁：重庆师范大学数学科学学院，重庆
关键词: 六次单位根；代数验证；恒等式证明 ；Sixth Root of Unity； Algebraic Verification； Proof of Identity
摘要: 本文聚焦六次单位根的代数性质，以参数赋值 B=− ω 2 q (其中 ω 为六次单位根)为研究核心，通过严谨的代数推导验证了该赋值下原结论的成立性。首先梳理六次单位根的基本性质与相关符号定义，随后给出具体命题及分步证明，最后讨论该结果的理论意义与拓展方向。
Abstract: This article focuses on the algebraic properties of sixth-order unit roots, with the parameter assignment B=− ω 2 q (where ω is a sixth-order unit root) as the core of research. Through rigorous algebraic derivation, it verifies the validity of the original conclusion under this assignment. Firstly, it sorts out the basic properties of sixth-order unit roots and related symbol definitions, then presents specific propositions and step-by-step proofs, and finally discusses the theoretical significance and expansion directions of the results.
文章引用：成鲁. 关于Ramanujan函数的模方程[J]. 理论数学, 2026, 16(7): 1-5. https://doi.org/10.12677/pm.2026.167166

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