Shuffle regularization for multiple Eisenstein series of level $N$

Hayato Kanno

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Shuffle regularization for multiple Eisenstein series of level N

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arxiv 2405.04770 v3 pith:5I44LCMG submitted 2024-05-08 math.NT

Shuffle regularization for multiple Eisenstein series of level N

Hayato Kanno This is my paper

classification math.NT

keywords levelmultipleshuffleeisensteinserieszetaarbitrarybachmann

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Bachmann and Tasaka discovered a relationship between multiple Eisenstein series (MES) of level 1 and formal iterated integrals corresponding to multiple zeta value. They also constructed shuffle regularized MES of level 1, which satisfies the shuffle relation that is same as multiple zeta values. In this paper, we expand their results for arbitrary level and give some linear relations among MES of level $N$.

Shuffle regularization for multiple Eisenstein series of level N

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