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<p>In 2018, Bachmann and Tasaka discovered a relationship between the Fourier expansion of multiple Eisenstein series of level 1 and the Goncharov coproduct on formal iterated integrals corresponding to multiple zeta values. They also constructed shuffle regularized multiple Eisenstein series of level 1, which satisfy the shuffle relations similar to multiple zeta values. In this paper, we expand their results to arbitrary level and give some linear relations among multiple Eisenstein series of level <i>N</i>.</p>

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Shuffle regularization for multiple Eisenstein series of level N

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月23日

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  • Hayato Kanno

摘要

In 2018, Bachmann and Tasaka discovered a relationship between the Fourier expansion of multiple Eisenstein series of level 1 and the Goncharov coproduct on formal iterated integrals corresponding to multiple zeta values. They also constructed shuffle regularized multiple Eisenstein series of level 1, which satisfy the shuffle relations similar to multiple zeta values. In this paper, we expand their results to arbitrary level and give some linear relations among multiple Eisenstein series of level N.