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<p>Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves in analogy with the Manin relations for modular symbols. We devise a new method for determining and proving such relations, by differentiating with respect to the parameters of the Eisenstein series.</p>

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On the Borisov–Gunnells relations for products of Eisenstein series

  • 期刊论文

  • 发表日期：

    2025年11月17日

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  • François Brunault

摘要

Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves in analogy with the Manin relations for modular symbols. We devise a new method for determining and proving such relations, by differentiating with respect to the parameters of the Eisenstein series.