Applying the theory of modular forms and Lambert series manipulations we establish an Eisenstein series identity. From this formula we confirm a Lambert series identity conjectured by Gosper. Another Lambert series identity of Gosper is also confirmed by using Lambert series manipulations.

中文翻译：

---

Gosper 的两个兰伯特级数恒等式的证明

应用模形式理论和朗伯级数操作，我们建立了爱森斯坦级数恒等式。从这个公式我们确认了 Gosper 推测的 Lambert 系列恒等式。Gosper的另一个Lambert级数身份也通过使用Lambert级数操作得到确认。