AI 中文总结
研究双艾森斯坦级数的加权和公式，通过作者与田坂证明的受限双洗牌关系得出双艾森斯坦级数恒等式，用组合方法及生成级数证明除数和恒等式，实现对相关恒等式的证明。
AI 中文摘要
我们证明了双艾森斯坦级数的加权和公式。作者在硕士论文中曾对多重除数和的生成级数的相应恒等式进行过猜想。双艾森斯坦级数恒等式源于作者与田坂证明的受限双洗牌关系，而除数和恒等式的证明是组合性的且使用了生成级数。
英文摘要
We prove a weighted sum formula for double Eisenstein series. Its corresponding identity for the generating series of multiple divisor sums was conjectured by the author in his master's thesis. The double Eisenstein series identity follows from the restricted double-shuffle relations proved by the author and Tasaka, while the proof of the divisor-sum identity is combinatorial and uses generating series.
Comments6 pages. Comments are welcome!
