论文标题
在某些有限和无限的反切线和
On certain finite and infinite sums of inverse tangents
论文作者
论文摘要
证明了一个身份,连接了两个有限的反切线总和。该身份是雅各比(Jacobi)对椭圆函数理论的模块化角度的假想转换的离散版本。讨论了其他一些相关的身份。
An identity is proved connecting two finite sums of inverse tangents. This identity is discretized version of Jacobi's imaginary transformation for the modular angle from the theory of elliptic functions. Some other related identities are discussed.