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Stuffle regularized multiple Eisenstein series revisited

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arxiv 2212.10700 v1 pith:IMHFCUH4 submitted 2022-12-21 math.NT

classification math.NT
keywords multipleeisensteinseriesalgebragiveregularizedstufflethey
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Multiple Eisenstein series are holomorphic functions in the complex upper-half plane, which can be seen as a crossbreed between multiple zeta values and classical Eisenstein series. They were originally defined by Gangl-Kaneko-Zagier in 2006, and since then, many variants and regularizations of them have been studied. They give a natural bridge between the world of modular forms and multiple zeta values. In this note, we give a new algebraic interpretation of stuffle regularized multiple Eisenstein series based on the Hopf algebra structure of the harmonic algebra introduced by Hoffman.

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  1. Multiple Zeta Values

    math.NT 2026-08 unverdicted novelty 1.0 of 10

    An extensive expository survey of multiple zeta values, their finite/symmetric and q-analogue variants, and their modular-form connections, proving no new theorem.

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